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Collaborative play writing/John Brewen/Act 3

Act 3. Scene 1. Before a well

Enter Libertine and Jeremina

Libertine. Are you at liberty?

Jeremina. Free to refuse, ignore, dismiss, cut off.

Libertine. Women as free as you should be all the bolder, when desire takes wing towards any we follow, skilful to counfound the vigilance of Argus fathers.

Jeremina. I cannot hear you without blushing still.

Libertine. A sign your Russian spring is thawing. Let

Love conjure willingness with traced lines

Outside a father's profitless respect.

Jeremina. Desires are punishments to women thick

With love's unwanted burden when you go.

Libertine. Or else conjure inside the circle of untouched darkness love is happy to aim at. A virgin bastion totters against love's iron showers. Desire's fulness swells as we speak, and plays the gardener in removing musty virgin bulbs out of the glass-house into rougher sun and winds. I am no idle farmer, but rather cojoin different species of lilies unadulterated, unshaken by the squibs your father throws on us, when his nose freezes at the name of a daughter's pleasure.

Jeremina. I'll never touch the lilly, or rather your pricked rose, unless you forbid a maiden's liberty with violence.

Libertine. Only a father, in monkish profligacy to earn his place alone in heaven, which he calls austere living and learning, keeps you from woman's freedom. I'll show you sights many dream of, whenever pale hands tremble to reach beyond their Bible.

Jeremina. My father bid me fetch my pail, not men.

Libertine. I'll fill your pail, believe it, so that you

Need never look elsewhere.

Jeremina. Not nearly what he asks for.

Libertine. Because his pleasure is your punishment.

Jeremina. I know men sigh but to beguile. You plead

To grunt awhile, then joyfully depart.

Libertine. I know virgin mouths more usually tempted by salty preparations than the main course. Will you remain a fool at fifteen? What finger is hurt by plucking on a pea-pod? The pleasure that awaits exceeds hymns, lamentations, and descants beside weeping candles. Will you sleep with Isaiah? Can Calvin pierce with joy? Will you always murmur with doctors of theology, whose eyes, shaded by hat-bands to signify zest for the cause, follow a temple maiden's discreet and correct toe, to instil awe and reverence, or else with mincing aunts and moral uncles deliberate and frowning in the very act of dalliance?

Jeremina. Man and virgin beneath a tree portend no school of virtue.- Here's water to my ears.- Do you expect a village Jezebel? Your lusts, like bits of iron touched with stones, draw on, but only with your kind.

Libertine. I bear no punitive device, but a

Shrewd warming-piece for many winter nights.

Jeremina. I may not wear it.

Libertine. Come, melt.

Jeremina. Between my candles when my knees touch ground.

Love me instead and hope.

Libertine. Love without pleasure is a sunless rose, pleasure without love a rose blooming and dying in three seconds. Enter my room at night: I'll show you works of ancient design, none in marble or lime. Will you not?

Jeremina. My circumambient-eyed father!

Libertine. Old apoplexy frowning half the day!

Enter Jeremy

Jeremy. Puckering, wantoning, mistress?

Jeremina. Never if I live.

Libertine. Her lips, to her credit, seem like charnel monuments in sunlight.

Jeremy. I will be gentler than I ever was.

Jeremina. The awful fear's enough.

Jeremy. I think so, sometimes hope so, too.

Libertine. Well, sir. Should you wish for any further communication on my part, I'll happily oblige.

Jeremy. Most false intruder, some few words before

You leave to tempt another to her death.

Libertine. I never try but win, when she agrees.

Jeremy. Not here.

Libertine. Too promptly said. We'll let no maiden burn

For man's desire, which I admit to lie

Beyond the zodiac in scope, subject to

Precession somewhat, yet remaining true.

Jeremina. A father does not use his daughter's flesh

As strangers do.

Jeremy. O, no, O, no.

Libertine. I had hoped to win friends.

Jeremy. No such friend wanted here. For her, no streak

Or welt, not now or ever, though lust burns

At instep or at elbow every way.

Jeremina. No rancor or dismissal I expect.

Jeremy. Devoid of mildest petulance even.

Libertine. No spectacle, to make of you the gaze

And talk of Sunday-weary Londoners.

Jeremy. No.

Libertine. I take my leave.

Jeremy. May you rot where you go.

Libertine. Toothless impertinence! Street-wiper of English mores! Lick dust from common by-roads as you leap to chide bed-roadsters. Do you speak to me? I can exchange with nerves of wrath, except those crumbling beside their grave. You make women what they are.

Jeremy. Rather a paralyzed virtue who cannot sit than a skipping wanton!

Jeremina. To what a pit of shame I sink into!

Humiliation hisses with the lips

Of Ezechiel's conflagrations.

Jeremy. Repent.

Jeremina. Ten times or more each night as I draw breath.

Jeremy. I'll see that overwillingly.

Jeremina. I am ten times your burden or my own.

Jeremy. Ah, gentler. No harm with the fissure safe.

Libertine. Safe.

Jeremina. Safe.

Jeremy. Of what use is a father if not to

Advise, suggest, the best too leniently?

Libertine. Quite little, I admit, the mother, too.

Jeremy. My purest untouched snowdrop innocence!

Libertine. Ho, without question that rock should thank you

On floors whenever lacking poultices.

Jeremy. Are you unhappy at your quest this day?

Libertine. Yes, slightly disappointed, probity.

Jeremina. I like the name.

Libertine. Or anchorite in smoky cellarage-

Jeremina. Good.

Libertine. Whose only music is his grinding teeth.

Jeremina. And I the daughter to this Caucasus,

On whose dry flintless breasts Promethean flames

Return to icicles.

Jeremy. Do you feel that? Book-doctrines breathing life!

Libertine. Her nose like acorns stiffen as we kiss.

Jeremy. The gladder. All my pains rewarded well!

Libertine. I wonder at myself for thinking that

I bothered to inveigle that ice-pit.

Jeremina. More excellent sport!

Jeremy. The best and only, when the eager mourn.

Libertine. My daily homage to all virtuous maids,

To edge my compass forward.

Jeremina. My needle points with yours, but finds the north

By ten degrees too hot.

Jeremy. An answer as I always dreamt to wish!

Exeunt Jeremina and Jeremy, enter Amaryll

Libertine. Hole-in-my-bed, most welcome in my griefs!

Amaryll. Will you undo me forever? My husband gropes for herbs in the adjoining field.

Libertine. To sink in mud while I smell his life's rose.

Amaryll. Kissing with lips still warm from another's?

Libertine. Of whose, Jeremina's? That rounded ice-cube?

Amaryll. I saw you sniffing at each flank and limb.

Libertine. For my pains knocked on by father and daughter, their bowling match after service hymns.

Amaryll. So should I, though mistress Brewen commands us to church only when threatened by fines.

Libertine. Why should you go, when you already feel

Each sin you wish to shirk?

Amaryll. Your fault, I guess.

Libertine. Admit a frozen pilgrim in your church.

Amaryll. The prodigy of blood! It raises flags

Atop a mossy tower levelled down.

Libertine. What commendations may one lorn invent

To tempt you into good adulteries?

Amaryll. This stable-fly bites into more than flesh

Of horses or of bulls.

Libertine. I scorn farmyards, except when tending to

A husband's ram-horns.

Amaryll. We smile and crawl with pleasure into hell.

Libertine. Return to infancy instead: two babes

In muckholes playing.

Amaryll. No babe can rise so high, or point so hard.

Libertine. Or rest so soon, unless the nurses suck.

Amaryll. Should Trencher see your matted buttocks, he

Would eat his muddy lettuce without oil.

Libertine. Where are your lips?

Amaryll. Which ones?

Libertine. Complete for any man to burn at will.

Amaryll. I'm half your flame.

Libertine. Come, do not speak by mouth. In woman stilled,

Hell is above and heaven deep below.

Amaryll. In both all fire and wax.

Libertine. Our sudden blazing warms up hell anew.

Amaryll. For Luther's sake, call back stern Jephthah's beard.

Libertine. No, rather let hell howl and swallow me.

Amaryll. I am in labor till I see us there.

Enter Fernando

Fernando. Ha, excellent furze-lechers at it still!

Libertine. Ha?

Amaryll. A worse face than a husband's!

Libertine. He scared me out of my breeches.

Amaryll. Here is adultery singed in her fire.

Fernando. (drawing out his sword I would rather see the sun die than my love for her. Libertine, I vow? A word or two before you die.

Libertine. Death is a doctor who keeps us waiting.

Fernando. I need not remind you Amaryll is Trencher's husband and truest love. No. Of what relevance is that to me? I will not recall the rite of marriage you mire on with intemperate lusts and merriment. No. Of what use are sacraments to me, or to anyone? Instead, I remind myself I am a failed medical student, whose curiosity remains yet undimmed by bad teachers, with a particular interest in Estienne's findings on the valves of the hepatic veins.

Libertine. Look at his diagrams instead.

Fernando. For evil, man and woman fan the air

With thirsty swallows, to do good no clog

Or plummet's drowsier.

Libertine. Can you charm him?

Amaryll. Like Barbary apes with raisins.

Libertine. Do it in haste. My sleeves begin to reek.

Fernando. How potently adulteries mend gaps,

To gape in fear forever afterwards!

Libertine. A pot of oil is clearer than these quips.

Amaryll. Will you have love tonight?

Fernando. I'm stilled.

Amaryll. Not that, but swords of flesh are wanted here.

Fernando. The other whirling back to scabbard peace.

Libertine. I am appeased, Fernando. For a while,

I thought this likely your last death-day.

Fernando. In rankest dread, you tore my pocket here.

Libertine. To be paid thrice its value, as estimated by any condemned falsifier you like. Forgive, so that devotedly I may one day kiss the bed that begot you.

Amaryll. Is there any evil worse than religion? You chide me for wife-straying while pocketing my sin.

Fernando. Do priests yield us richer ware when we pocket heaven, our unseen nothing? I look at my soul like a cat on its image in water.

Libertine. I on my mistress' sole.

Fernando. Go home with courage, to keep it sturdily away from men's noses.

Exeunt Libertine, Amaryll, and Fernando

Act 3. Scene 2. An ale-house

Enter John and the two citizens

John. Are we grown riotous?

Citizen 1. By my faith, no, a broken window or two.

Citizen 2. Why should the law concern itself with men

Who suck on bottles? First extinguish fires

Inside our brothels, slaves, where danger lies.

John. A melancholy gamester! I begin

To pity you.

Citizen 2. Do it with lifting of the elbow.

John. You remind me of who I am.- Do you weep?

Citizen 1. Of joy, hyetally. Who would not with such a rout of brethen about?

John. Let those who loathe our revellings beweep

On sermon dishes.

Citizen 2. To love!

John. Shall we have women?

Citizen 1. As common-wearisome as blighted corn.

I will have rarer pleasures.

Citizen 2. To love!

John. I am most melancholy in that I

Have not yet lost mine at the stake.

Citizen 1. Some dice here! Who wins mine?

Citizen 2. I would not cut my purse for mine.

John. For the sake of love, I forswear dicing, to imbibe instead. Should we howl until cockcrow?

Citizen 1. A venerable way to pass the time!

Citizen 2. Unless we grow waterish from too little wine.

John. Excellent discretion in a parson's son!

Citizen 1. I'll swallow urine ere neglecting friends.

Citizen 2. I have seen him do it. The stream is straight and very correct.

John. Hee! Hee! An excellent company of men are we, none among women's company at all nobler or more discreet and affable.

Citizen 1. I question why officers of law frown on us, as if we were begotten under damp stones.

Citizen 2. Let us caper.

Citizen 1. How?- O, I bepissed myself again.

John. The lord mayor should give prizes for that feat.

Citizen 2. Or to whoever farts longest.

Citizen 1. I'll make a buttock of my face to win it cleanly. Purt! Purt! Proot! Proot! Twoof!

Citizen 2. Here's your prize. (farting

Citizen 1. Ah, villain. You grow tedious all at once,

Not learnedly as I expected when

I first enjoyed your worthy company.

John. Hold, an armed vessel chugging towards port.

Enter Anne

Anne. The meaning of these alarums?

John. Alas, I grieve to tell.

Anne. Do you grieve? Have you lost your wife, I mean

Your bottle-neck?

John. By the god of oblations, no, only my second one, you.

Citizen 1. I came to bid for you.

Citizen 2. And I perhaps to rob you.

John. These cards, I regret to say, reveal my lost, his gain, our ending.

Citizen 2. And I the lecherous suitor who lost. Name your price and then avaunt, sir.

Citizen 1. I stay with mine.

John. Truly a wise choice, though I say so who should not.

Citizen 2. Never look on dry pirates, but on me. There is more love in my beseeching eyes than in all the drops our savior lost.

John. Take both. I am unable to choose well.

Does not their fire excel when first I sighed,

Unable to write sonnets on your brow?

I swear they'll please you thoroughly and well.

Citizen 1. Out, varlet! I won her.

Citizen 2. But I'll take her and sing, before your face,

Behind it, too, before the bishop of

Canabury, religious breeder still,

By Hooker's discourse on justification,

Where it is proved we need not understand

Salvation by faith to win heaven's light,

By holy loathing of the pope and Jews,

Together with their heads, invisibly

Commanding gentle lives. Let all three stand,

Here, or at holy mountains of their choice,

For each a word- three words at least, three words

For the price of one, better, by the host,

Than any heard in Jewry or in mosque

Who pray to one. The flogger should be paid

Three times his wages, for he scourged all three.

John. He goads, I can feel it. Come, sir, awake

Or die in waking. Collet burnt his toe

But for our sake on Smithfield's holy ground.

Citizen 2. Come to me, little ones, my bottles of

The realm. Unless you drink as these, I say,

You are not fit to enter where I am.

Citizen 1. No matter, only dribbling of the beard.

Unless your wife is shorter with my neck

Than was Alecto, she is ever mine.

John. No fear. But she perhaps will scorn your friends.

Citizen 2. I scorn all scorners, living with my God,

Especially when most contrite, alone.

John. This wife's a Parthian, casting darts behind.-

Will you depart so soon?

Citizen 2. We better our instructions: some have walked

On water, while we tread on wine, some turn

Their water into wine, we wine into

Piss, verily.

Citizen 1. I should perhaps change my mind. I think Anne,

My wife, begins to look contentiously.

John. I have observed such looks, which bode men ill.

Proud Juno never looked on Ithaca

More jealously than she on our full board.

Citizen 1. I doubt about my prize now.

John. As your particular friend, I say you should.

Citizen 1. Is she in bed like stirring ones we know?

Citizen 2. Love her nevertheless, love all, all love,

My message all too simple, yet refused

By churches even, many sects built up

But to displease the pope, regardless of

Sex-appetites.

Citizen 1. I leave you, neighbor, glad to drink with you,

Not burn with you.

Citizen 2. Burn, burn, burn, burn.

Exeunt the two citizens

John. Your will with me?

Anne. Not now forswearing all these sucking sins?

John. Your will?

Anne. Mere dangling on a spider's thread, I vow.

John. Reproaches, damned in them!

Anne. An infant with curtains on fire and no one in the house. If you tempt the devil to dinner, he'll burn your pot-roast.

John. I do not delight in you. No, no. We fail to exult.

Anne. For my pains, litotes.

John. For your pains Sapience, for your pleasures, too.

Anne. You know of him?

John. I do.

Anne. Good.

John. Noble philosophy!

Anne. Doing what you cannot.

John. He comes for us.

Anne. For you? How? Why?

John. Like a good gardener, to chop the weeds.

Anne. Am I no temperate wife?

John. I'll be an ass if I temporize further.

Anne. You are an ass sensu stricto and jure stricto.

John. To help forgetfulness of that, imbibe.

Anne. All to be dearly paid.

John. All sweaty now. Forgive. All mortals here.

Anne. That you will find.

John. The woefullest husband not yet dead!

Anne. No doubt.

John. Let me on barren peaks shift for dry bones,

In desolation's cave sigh on no root

But ashes, on some flaming dragon's head

Sweat drops, miraculously: not one tear,

Oblivious sinking, bottle-pining jest,

Provided I am never married. Then

I taste with Adam fruits of paradise.

Anne. These admirations will not help your case.

John. No throne, dominion, cherubim for me.

The cohorts blessedly converse, but not

With me. The misery of marriages!

Anne. Priests only celebrate with rites of death.

John. If always true, I would be blessed by now.

Should we not kiss?

Anne. Rather the muscularly folding rings

Of undigesting pythons.

John. I cannot brook the eyes of murdering.

Anne. Pah! Such a man! No pale amazement to

Take down my hangman humor! I see you

By day or night in air.

John. Swine on their bloody block of wood fear less.

I'm on the surest way I know not where.

Anne. O, what a thing I bedded with! Alas,

I twist my bulk on beanstalks. Idiot sleep

To stagger in, alone for twenty years!

John. A flaming pit I cherish, but not you.

Anne. Wheat not to be sieved, beetle-habited,

Large thirsty toad, or paralytic worm,

Ere on grave-dust I silently lie straight,

With justicers allowed by law to bind

And punish malefactors, richly paid

By dead men's friends and brothers to assure

Their victim sweat unnecessarily,

Be certain harm may come to you at last.

No greater pleasure to a woman give

Except that sight.

John. I'll swallow half my tongue before I kiss

Such loves again.

Anne. Do and not do both. Kill yourself. I swear

I'm out of love with you. Hereafter dream

To sleep in hell, not on our pumice bed.

John. I'm excellent at filing, soldering,

Or casting, needing help in polishing

While praying to Eligius in his shop

Of clouds, but never yet on marriage-bonds.

Gold, malleable and ductile, I

Weld piece by piece together on a broach,

Or stretch in stringlets never tarnishing,

But never yet a woman hating me.

Anne. Some fearful vermin, to be treaded on.

John. What journeys we go on, to kill or to

Be killed for sixty thousand days at least.

Hah, Calvary's a pleasure-garden next

To those, when pale atrocities with bony grin

Like crazed gardeners plant oranges

In snow, the whips of time misspent on us.

Anne. I'll dare the jury bravely.

John. Spill without heed or care your vat of blood:

Receive at once your dole, no punishment.

Anne. Could I with nails tear off that flesh of sin!

Oh no, not yet, not yet, not yet, not yet.

Some ghost of patience keeps me in despair.

John. You comfort me too well.

Anne. I'll gambol, weeper, wailing hypocrite,

Male Magdalen with vomit for perfume.

I miss a progeny to stab revenge

On his loose bowels.

John. I kiss my rod for more than twenty years.

Anne. No picture but the grimace of a man!

John. True, as we speak.

Exit John

Anne. So soon away? A slave forgets himself.

Enter Sapience

My love in readiness? Then welcome, hope.

Sapience. Ha, is he gone?

Anne. Not where I wish such husbands to lie down.

Sapience. That's in his grave. Behold: a gift for you.

Anne. A washing basin?

Sapience. Yes, to collect his blood.

Anne. And this?

Sapience. A poniard polished by his very hands.

Anne. You make me tremble more with pleasure here

Than on forbidden beds below the moon.

Sapience. And this.

Anne. Strange brew! To make him sleep, I nearly guess.

Sapience. Forever, in spite of a curate's words

Of needless promise understood by none.

Anne. To pour destruction on his very face!

Sapience. He'll wash his face in blood without the hands.

Anne. Thrift in housewifery! Thus served, he can

Do something else besides.

Sapience. True, such as bleeding drop by drop to death.

Anne. Sometimes he likes to shave at midnight when

He finds it warm, to sweeten ridge and vale,

For otherwise face-pricking makes me dull.

That way, it climbs on Venus inch by inch.

Sapience. Tonight he'll be too cold for you to thrive

By that, not high enough for woman's wants.

Anne. But yet you need not slily slit the throat,

Or cut away both hands.

Sapience. Why not?

Anne. He has a habit of bestowing face

And hands on water as he rinses off,

Instead of which I easily pour down

This horrid acid in your pleasant bowl.

Sapience. Bestow the gift on him tonight.

Anne. From both of us a present, merrily.

Exeunt Anne and Sapience

Act 3. Scene 3. The earl's palace

Enter the two counsellors

2 Counsellor. Where is he now?

1 Counsellor. Here but a quarter of an hour ago.

2 Counsellor. My lord?

1 Counsellor. Gone.

2 Counsellor. The king is angry.

1 Counsellor. Not with us yet.

2 Counsellor. Nor must he be.

1 Counsellor. Have you looked everywhere?

2 Counsellor. No.

(Somerset is revealed

My lord, why do you lie below your bed?

Somerset. I must be madder than I thought or dreamed.

1 Counsellor. Should your high lorship be quite innocent-

Somerset. I should more greatly fear, and so I do.

2 Counsellor. Yet who is innocent? Which man says so?

1 Counsellor. Your wife, as any grocer knows, is not.

2 Counsellor. Your wife, as any husband knows, is not:

And so how can a husband not know it?

Somerset. Know what?

2 Counsellor. Know anything at all his wife devised.

Someserset. Including heinous thoughts of murder, sir?

2 Counsellor. I do not say that now, but some may do.

1 Counsellor. Some have, and more than once, and more than twice.

2 Counsellor. Repeated in the king's ear, listened, too.

Somerset. Ah, ah, the king, my friend, the king, but of

No use, of absolutely no use at all.

2 Counsellor. Surrender, best of lords.

1 Counsellor. Surrender, best of lords.

2 Counsellor. We have been asked to apprehend the earl

Of Somerset, and so we must and do.

Exeunt Somerset and the two counsellors

Act 3. Scene 4. Brewen's house

Enter Anne and Sapience

Anne. He is at last preparing for his couch.

Sapience. The only final one we know about.

Anne. No screaming yet.

Sapience. I never knew such silence in a house,

Except the grave's.

Anne. What if he drops asleep?

Sapience. We'll try again tomorrow.

Anne. How? To kill twice?

Sapience. Ha! Is it he?

Anne. You startled me. Perhaps a mouse. I am

Not known to jump at sights.

Sapience. I tread on pieces of glass till I hear

This husband moan.

Anne. Too slow, too slow!- When will he?- Why not now?

Sapience. A quite uncommodating slave!

Anne. Now, now, now.

Sapience. Thick silence.

Anne. Discovery's near.- Why did you jump?

Sapience. You batter with such thoughts.

Anne. What did he say when first he saw you here?

Sapience. Allowing entry to a friend.

Anne. O, had I never seen the basin, had

I not poured out so soon!

Sapience. Go to him now.

Anne. Not now.

Sapience. Go, or we whimper indecisivelly

In worse than fears.

Exit Anne

Not here already?

Re-enter Anne

A face of misused paper! So? When? When?

Anne. He stares, unbudging.

Sapience. He'll come, or soon enough.

Anne. No, never soon enough.

Sapience. Will he not do it?

Anne. Worse than I ever was.

Sapience. Your fault, entirely.

Anne. Blame me already. Good.

Sapience. I will not. Pardon.

Anne. It is my husband who should pardon us.

Sapience. Will never this be done?

(Shrieks within

Anne. Now, now, now!

Sapience. Will he come out?

Anne. O, never may that be.

Enter John

John. Ah, ah, ah!

Anne. Stab him.

Sapience. I have forgotten the knife.

Exit Sapience

John. Ah! You have done it at last, you have done me.

Anne. That sight, the worst and best I ever saw!

John. No hands but molten flesh! Look at the face.

Hee, hee! Remember it in dreams to come.

Anne. O, never.

John. O, often, if the dying have their wish.

Anne. Where is the slave?

John. Your lover? May he die along the way.

Ah, ah, ah! No, no, may he prick instead.

Re-enter Sapience

Anne. The tardiest malefactor! Go, stab him.

Sapience. He never sits still.

Anne. You dropped it.

Sapience. I know I did. Still, stiller yet, my arms!

Anne. He's down now. Skewer him.

Sapience. Ha, twitching, too? Where should I strike? Where not?

John. Ah, ah, ah, ah!

Anne. That howling! How he roars and sputters now!

John. Remove me from the living. Ah, ah, ah!

Anne. Do as he says.

Sapience. How?

Anne. The thickest sag-brained fool!

Sapience. Where? How?

John. A face of fire! Remember slumbering

To see it often. Ah, ah, ah, ah!

But kill me first, I beg.

Anne. Do as he says.

Sapience. Here now, now, now, is that done well? Not well? (stabbing him

John. Well, well, well, well, now kiss my flaky lips. (he dies

Anne. The greatest kindness!

Sapience. True, better than he wished.

Anne. Worse than I hoped.

Sapience. Our faces! Parchments on which we decry

Dreams of ten thousand dooms.

Anne. Take it away. I may not see again.

Sapience. You kill what you cannot in peace behold.

Anne. O, gentle lovers never pass such nights.

Away, away! I cannot see. Away!

Sapience. How, blind?

Anne. No, do not touch the face.

Sapience. All quiet now.

Anne. The stillest night! The heaviest on these orbs.

Sapience. Ha! Can you see?

Anne. Him.

Sapience. After such nights, no more, when buried well.

Anne. In a sheep's grave. He will defile my dog's.

Sapience. Then time for other country pleasures, girl.

Exeunt Anne and Sapience, bearing the body


text:
Collaborative play writing/John Brewen/Act 4

Act 4. Scene 1. In a cemetery

Enter Fernando and Jeremy

Fernando. Sniff more liberally, sir, till I assure your verve the itching youth will no further nudge a daughter's fidelity inside her pit.

Jeremy. I thank you. It is more necessary than ever that burning youth, turning in ellipses of brazenness, should suffer on most occasions an eclipse.

Fernando. You may forget him.

Jeremy. After hearing such news, Jeremina will jump, necessarily more in joy than hope.

Fernando. Such impudence deserves roughest chastisements, and have, so that hot humors are said to have meet with a cold hand. Never fear henceforth to have her fetch water, for he who would have put it to her is now put out, and it is thought among the healer-zealous that the buzzing youth is a black blot squashed on your white wall.

Jeremy. Libertine?

Fernando. Found dead this morning inside your garden, mysteriously.

Jeremy. I would have called such news blessed once, which now I acknowledge good, by your patience. How hard a thing it is to be a father nowadays!

Fernando. Your attentions expended towards this daughter deserve homage from the purest, for few look after theirs more closely, when indifference is modern pestilence. One example suffices: last week I saw my neighbor, next to the pond, stare at his daughter mimicking and wantoning before his very face with a stranger to him, almost to her, youth primed in lechery and briskness. Eyes closed, this neighbor chortled, exclaiming: "Her mother played such games, now my loyal wife." Blank wittol! He will recover his senses when charity, in the form of a neighborhood informer, divulges the truth on the state of his bed and his daughter's, the one with horn-shavings below the mattress, the other filmed over with unknowable seed.

Jeremy. I heartily wish you would infer to him that charity.

Fernando. A promise, as we stand and loaf this way.

Trust me for better deeds, neglecting them

For their contraries once a month at most.

Jeremy. Heart-felt benevolence, rarer as I live each day.

Fernando. Expecting few rewards.- Where is the maiden?

Jeremy. At her pamphlets since the first morning clarion.

Fernando. No father here forbidding a daughter's instruction!

Jeremy. Oh no, I pour it into her, at cockcrow, earlier on holidays, replacing church-attendance when no officers are by.

Fernando. She welcomes, as a daughter should, such rare opportunities in a scholar's pursuits.

Jeremy. I permit her both form and lack of form called leisure: suggestions for the improvement of language, forages into histories of ancient and modern vintage, ours and foreign ones, geographies of land and water, together with calculating abilities, on one side, and freedom, a word which makes most fathers shrink into an acorn in fear, on the other.

Fernando. She answers both in vehemence of fire.

Jeremy. You assume correctly. Against Paul's teeth and lips, no veil is ever put over such a daughter's head, mostly directing herself, barely one man in a thousand, university-worth, capable of advising her in any fashion.

Fernando. With all those liberties and abilities, I marvel at her discretion and modesty.

Jeremy. Merely the consequence of choicest readings.

Fernando. The vicar seeming to be at your house an unnecessary guide to lecture and devotion.

Jeremy. Entirely superfluous. What could even a bishop happily disclose to any of her book-bulk?

Fernando. May I rot where I stand should she not revere her father's demonstrations and affability.

Jeremy. I somewhat instruct her, whenever asked, sometimes not. Indeed, I must attend to her lessons now, comparing ancient pilgrimages with Captain Smith's progressions in Virginia and Chesapeake Bay, for I am thinking of immigrating to those loftier blanker shores, no longer forced to chew on ancient cheeses of prejudice, indigestion enough, which I'll expound to you some day, if willing to hear of unjust tribulations suffered under clergy's crook.

Fernando. Absolutely. Meantime, good day to you.

Jeremy. Good in being studiously profitable.

Exit Jeremy and enter Amaryll

Fernando. Ho, my black amethyst!

Amaryll. Our master's remains are shifting onward.

Fernando. Trust me for expostulations on his merits.

Amaryll. Will they be pleasant?

Fernando. For some, no notion of possible entertainment; for most, lost of the self in amazement. The brevity of sinning! Once the tavern-mark parishioners turned their faces against, now our subject of piety and pity.

Amaryll. We are in whirlwinds of expectation for a new master already.

Fernando. Sapience, suspected of comforting her after foully playing with Master Brewen!

Amaryll. So do most of the household, including the mistress.

Fernando. Especially the mistress.

Amaryll. His heat prevails on her, we fear, because

He helped to cool the husband.

Fernando. Some husbands are exchanged for others as

The sheets are aired.

Amaryll. I saw them at it.

Fernando. When?

Amaryll. Just now, while peaking through the window pane.

Fernando. If caught, the happy way to make them both

Most miserable forever.

Amaryll. Too badly plotted to escape unpunished.

Fernando. Living with Master Brewen's possessions before the corpse is even lowered!

Amaryll. Including hammers and files, to the last toothpick.

Fernando. Bear me one sweet brain-child, head, to be swaddled in invention. O, I am at it. The difference between one day and another! Sapience touches my face with a perfumed glove, as if growing there, but I'll find a method to make his portly wisdom shrink in estimation.

Amaryll. And our master's epitaph?

Fernando. Virtue will blush before both pageants.

Enter Anne and Sapience, with Trencher and the two citizens bearing the coffin

Anne. Set him down; he goes no farther.

Fernando. I'll speak a little.

Anne. But do not think to make us weep, Fernando.

Sapience. Yet bear yourself in state. I would not be

Behind one neighbor in our dignities.

Fernando. I hope I know my duty.

Anne. A husband with his friends- speak, good

Sirs, if I lie- carousing at all hours,

To brightest dawning, a short hour ago,

Now but a house for beetles to rush in!

Sapience. Alas, for bad lives!

Citizen 1. To make us think or weep.

Citizen 2. Or weep without thinking.

Trencher. Or both.

Anne. In our calamity, with knowledge of

The muck of flesh we share, why not stay here,

Descending, howling, with my John to earth?

Fernando. My friendly encomium, if you please to hear, over the dead remains of my master.

Amaryll. Fernando, do.

Anne. Speak aloft. We kneel to lift our thoughts and thank your care- I mean for the pains you undertake.

Citizen 1. Where is the vicar?

Anne. Caught a cold this morning, for which reason Fernando has our liveliest permission.

Fernando. I do not know whether humankind will continue at this gear, or quietly end all hope, yet, to my mind, no worse a creature exists than this frowning baboon. Bear me no evil intention, startled ones, or you, grieving mistress, if I this day, calamitous in scope for many, speak without palliation on our state. Alas, Master Brewen never watered his potations, and thus he lies, an emptily bluish blot, soon a caressed thing we shudder to think on. Why? I do not know, but I guess somewhat. Think of the mouth-madness he never threw water on, no partaker of virtue, but a quaffer, incapable of making faces at the fiery monster. Instead of commendations, I say curse him, or rather curse his manner of living, or dying, and rather curse ourselves if living-dying as he did, to avoid being as he is, than to be buried with few to cherish our memory, before death's presence smelling no fresher than he does at this instant. I confess to you all I am a villain- no sweeter an appellation enwraps my virtues when turning inward on themselves, in beholding what lies beneath sprightliness and nice deportment- I say no cadaver smells worse under July suns than what I constantly bear about me, horrid about-to-die fragment of manhood as I am. I lie if I say I should be above, he below, as if deserving of our fates. No, the reverse is true. Knock on your hearts, reflect on yours, and say whether you would not say the same. Should you not be, sir, or you, madam, inside with him? I think so, though festering in his cabinet of rottenness. Tears, sprout; drown all thoughts of sin, make us man and woman, no receptacle for vice to be crawling into, never to be pricked out till death. Behold his hole: what do you think? I see your shirt in there, yours, too, mine most readily of all. After ceremony, should we plant wantonly with rural dames? Wretched man, wretched woman! Is this to watch over life as pilots do their compass? Worthless fellowship if no longer able to speak of failings! Weep today, but who regrets tomorrow? I think, none. I will no more expostulate on less-than-man, for I, should the world neglect impossibilities, am worse than he ever was, though half his age. Who will I be when vices ripen? Some mercy yet for what we know deserve no pardon.

Anne. Religious thanks to Fernando for our feeling elegy.

Exeunt Fernando, Trencher, Amaryll, and the two citizens

Not happy?

Sapience. Some other fellow rules you.

Anne. You'll have at bed or board the tamer ones?

Sapience. At least not glance as if I should warm up

Your husband's corpse.

Anne. Dead, he occupies my thoughts more than he did living. You strut or gad about his domains, like the new cock in the henhouse, or a plump hare among cabbages.

Sapience. Are we not to be married?

Anne. Not on his burial day, I think.

Sapience. Do I play havoc on his distillements, take cup and tumbler to bed?

Anne. You despoil the buttery, order servants about nowhere, raid sporting gear and gamery.

Sapience. As any master should.

Anne. No master yet.

Sapience. So, so. Do walls blush at my impudence

As red as our four hands that threw him here?

Anne. Call it so.

Sapience. Should I have slept atop the hayloft?

Anne. It is not that.

Sapience. What apprehensiveness is this?

Anne. You know my mind against offending mates.

Sapience. You murder them.

Anne. I am displeased, as ever yet I was.

Sapience. Into what pit have I dropped love and life!

Anne. Trench of our making.

Sapience. True.

Anne. I should not meddle with a murderer.

Sapience. Ha, have I murdered to be railed against?

Anne. Can you decry a countenance that loves?

I swear it does, I swear I do and will.

Sapience. It does not seem so on your pallet-bed.

Anne. I sank my marriage vows in you.

Sapience. About to make us wretched afterwards.

Anne. I will not clasp. What if an officer

Discovers our designs? They think his wounds

The accidental outcome of his work.

Sapience. Some prayers, and then hanging.

Anne. A love advanced too soon.

Sapience. I am a straying cloud not soon allayed.

Anne. Strike flat all Nothingham woods with your bolts.

What brew once tainted all my senses, hah?

Did I uncross for this? When I planned it,

Where was I sleeping?

Sapience. Brewen will not come out, and I am here.

Anne. Had you Mezentius' spirit, wide enough

To perpetrate whatever we desire!

Sapience. What if I do, though yet unwillingly?

Anne. I should transform our bed in cattle farms,

And heap away the superfluities.

Sapience. Such as your prized bull, to be sold away?

Anne. Oh no, you press too near for that.

Sapience. And you?

Anne. All blistered by love's pipe of sulphur, tears

To be my portion, foils and cares my thought!

Sapience. Your husband as a cherished monument

Too soon defaced!

Anne. Oblivious drugs my only nourishment!

Sapience. Avoid me.

Exit Anne

Sapience. Who breathes within? Fernando?

Re-enter Fernando

Fernando. Your wishes, sir?

Sapience. You have friends to obey my will in all?

Fernando. Most resolutely.

Sapience. I'll speak with them.

Exeunt Sapience and Fernando, enter Amaryll and Jeremina

Amaryll. So far gone?

Jeremina. I kiss despair devotedly, full on the lips,

And long to jump with him.

Amaryll. You tread on ways unknown.

Jeremina. But to leap upward in the dark.

Amaryll. Why?

Jeremina. In knowing such a father, you ask why?

Amaryll. He will constrain.

Jeremina. I hope I know my duty, yet I would

Have duty and a man.

Amaryll. Which man?

Jeremina. At the point where I am fixed, anyone.

Amaryll. Ha?

Jeremina. The grossest lip will be convenient, limbs

Of any that point upward to my view.

Amaryll. I see virginity's the treasure no

One cares to lose.

Jeremina. I'll push it off with thrusting deep within.

Amaryll. Too desperate by far for one so young!

Jeremina. What moral man have I not groaned beneath,

Invited by my father? Show me one

Less than so, for that reason more than so.

With lustheads smudging all the upward view,

Our watery eyes squint on moral glass.

Amaryll. But yet a father's lights may ably guide.

Jeremina. A father's lights freeze.

Amaryll. Prayer and fasting may cure this.

Jeremina. By sending me where your master is. I have scarcely lived, and yet, unless I meet a man, readier to die than live. I am on my hands and knees for air, or rather fire, provided it is masculine. All the warmth in my body is to attract and support one pointing bulk, to have it perforate.

Amaryll. Will you walk by this way? I'll expostulate further.

Jeremina. Not I, but fornicate, as in a well,

Or deeper if I can.

Exeunt Amaryll and Jeremina, re-enter Sapience and Fernando

Sapience. A priest?

Fernando. Capable and willing. You have heard of the murder of Libertine?

Sapience. He?

Fernando. Though I deserve some credit, he.

Sapience. I see him.

Enter Ebdiah

You have the cure of souls?

Ebdiah. Do you behold a priest's habiliment?

Of what worth is that here if not to bless

As often as we can for money?

Fernando. He often blesses in a garden, when

His friends sit up with him, but sometimes not,

Since often they rest never to awake.

Sapience. Good. Call my wife- I mean, your mistress. Say I would speak with her.

Exit Fernando

Step closer, friend.

Ebdiah. Your will?

Sapience. You will hear more when my wife- ha, I mean

Anne Brewen comes.- Thus.

Re-enter Anne

Anne. Ah, I was resting.

Sapience. You will rest longer here.

Anne. Who stalks in this man-made night?

Sapience. Your conscience.

Anne. Why is this priest here?

Sapience. Should not priests stroll in churchyards?

Anne. In full scope of misfortunes.

Sapience. Encouraging your virtues.

Anne. No help, but eyes appearing to destroy.

Sapience. Meant to wring you.

Anne. I know they do.

Sapience. Presenting worse than looks of pain and death.

Anne. Why does he draw his knife? Do priests carry weapons nowadays?

Sapience. For you they do, prefiguring your death.

Anne. He will not kill me here?

Sapience. He will, in jesting merely.

Anne. Time is my midnight jester, and, I fear,

A deadly one.

Sapience. For both of us, sin's mistress.

Anne. Let him speak.

Sapience. He wishes to, but cannot.

Anne. Why not? Why does he beat his fingers thus?

Sapience. Behold how madly sin condemns himself!

He seems a damned soul setting out to warn.

In abbeys, pressing down his hands, he shows

Self-punishments, encouraging all those

Who murder to let go, give up the game.

Anne. What, murder?

Ebdiah. How, madam? Am I misinformed? You know

Of murder little or else nothing yet?

Anne. No. How should I?

Ebdiah. That's strange. My fingers prick whenever near

The hands of murdereresses, surest sign,

Worth more in courts than prints of blood on them.

Sapience. The meed of your execrable default.

Anne. What are you doing, forcing me to faint?

Sapience. What if he looks at you as if he would

Make havoc on your body? Take it all

As warning merely, fairest monster. Do.

Anne. A face to make me retch with terror.- Ha,

Why does he weep?

Ebdiah. Your angel, sighing over your tomorrows.

Sapience. Few days ahead to sigh for and repent.

Ebdiah. There is no groaning woman, half buried to her neck in miseries, who would exchange her lot for yours.

Sapience. My thought as well.

Anne. I am inside Crete's pannels of despair.

Sapience. Mark out your next face.

Anne. A mask?

Sapience. Look at the face more carefully.

Anne. Mine?

Sapience. Yours.

Anne. Why is he going down into John's grave?

Sapience. To sweep.

Ebdiah. (inside the grave

Yes, it is dusty here.

Sapience. Sweep the grave clean.

Ebdiah. What serves a broom else? Some may follow him.

Sapience. Yes, joiners.

Anne. What do you call a joiner?

Sapience. One who joins men in graves, especially

Those who put them there.

Anne. Sights making a no-woman of me!

Ebdiah. Can you take time's scythe from his hand? Then fear.

Sapience. Fear most of all. That would be best for you.

Ebdiah. Ha! Ha! Ha! Ha! Ha! Ha!

Anne. Hah?

Sapience. He laughs because you may appear to sink.

Anne. That skinless face!

Ebdiah. I cannot help how dismallly I look,

In spending too much time in open graves.

Sapience. Who does not die?

Ebdiah. All, all come to it, luckily for all,

For otherwise how are we to find room?

Sapience. Think of death often.

Ebdiah. Do, as I live.

Sapience. Look how our gentle host invites you down.

Ebdiah. Look wretchedly below, to rise above.

Anne. Eyes to pierce cerements!

Sapience. If gorged with sins, the pit-side empties you.

Anne. I will remember that.

Exit Anne

Sapience. Her flow of confidence is shrewdly ebbed.

Well. Follow her, remind her patiently

That everyone must die.

Ebdiah. So every day we live.

Exeunt Sapience and Ebdiah

Act 4. Scene 2. A prison

Enter the two counsellors

Counsellor 1. Along this corridor.

Counsellor 2. To hasten to him more than hurriedly!

My daughters eagerly await the end

Of Somerset's disaster as they sleep.

Counsellor 1. The pleasant jailkeeper told us "turn right".

Counsellor 2. There, in that cell! Submit to life's instruction:

The powerfullest nobleman arrested, jailed.

(The earl of Somerset is revealed in his cell

Counsellor 1. My lord, are you not well? Not sickly, faint,

Too desperate to speak, or lift the nose?

Counsellor 2. My lord, no doubt we can do something to

Alleviate discomfort in your cell,

A filthier lodging than we ever thought.

Somerset. Ah, altogether wretched if I live,

More wretched if I die! You cannot help.

Counsellor 1. Erewhile, a noticed earl! A minion fit

To smile, cavort, or chop off courtiers' heads.

Counsellor 2. The weightiest agent, pressing by the year

Against so many honorable heads

Advantages obtained just for his own!

Somerset. But now what crawls on straw or spiderweb.

Counsellor 1. Judged to be guilty, therefore guilty.

Counsellor 2. Sir Walter Raleigh thundered it in court.

Counsellor 1. Sir Walter Raleigh was believed in court.

Counsellor 2. They aptly said "most guilty", I avow.

Counsellor 1. Most culpable, together with the wife.

Counsellor 2. Both guilty, murderers of Overbury!

Counsellor 1. Fate!

Counsellor 2. Who can decipher it?

Counsellor 1. Who says the worried earl is innocent?

Counsellor 2. The earl alone.

Counsellor 1. What good derives from that?

Counsellor 2. Not much, I think, not even to my lord,

The earl of Somerset.

Somerset. He's innocent.

Counsellor 2. Did I not hear the earl is innocent?

Counsellor 1. True, but the earl, accused, judged, sentenced, must

Not be believed, because the mournful king

Did not reverse the sentence, just or not.

Somerset. My wife killed Overbury. I saw her.

Counsellor 1. Then at least guilty of not knowing what

Your wife intended for your benefit.

Counsellor 2. Worth sentencing by anyone's account.

Somerset. His wife the murderess, the earl her aid!

Counsellor 1. Unconscious helper, in one word yourself.

Counsellor 2. When laws say "guilty", there is little more

To say or do.

Somerset. Yes, guilty. You say truly. The king heard,

Believes it even now.

Counsellor 1. Admit your guilt.

Counsellor 2. Beg for his pardon.

Somerset. The only step I have not stumbled on.

(Somerset retires deeper in his cell

Counsellor 1. Life's instruction!

Counsellor 2. Terrible to behold!

Exeunt the two counsellors

license: Creative Commons - Attribution Share-Alike - https://creativecommons.org/licenses/by-sa/4.0/


text:
Collaborative play writing/John Brewen/Act 5

Act 5. Scene 1. Judgment Hall

Enter the two citizens

1 Citizen. No ending to the ill let loose on us.

2 Citizen. Are montrous sins to be left as they are?

1 Citizen. If so, friend, let us strike our neighbor dead,

Make pies of cousins, let our children woop

In forage of a loving mother's blood:

All welcome if we find no justicer.

2 Citizen. We have a frowning master in the king.

1 Citizen. The earl of Somerset imprisoned well!

2 Citizen. O, well reminded: captured with his wife!

1 Citizen. His direst promulgations against force

Of crimes appropriately serve this earl.

2 Citizen. A murder answered with a murder, teeth

With teeth of blood.

1 Citizen. The law's a fox allowed on hatching crimes.

2 Citizen. Show hangmen's faces while they moan or plead.

1 Citizen. No mercy to please violence.

2 Citizen. Condign reward for murder.

1 Citizen. But yet an earl, therefore not to be hanged.

2 Citizen. Think of his jail-cell as we eat mince-pies.

1 Citizen. The jail uncomforting, I sometimes think.

2 Citizen. I say so, and perhaps deserved, although

Few speak against the great except the great.

1 Citizen. No eyelid big with sorrow for an earl.

2 Citizen. O, no! O, no!

1 Citizen. For murdering deserves all ills the heart

Of man invents, morever a king's doom.

2 Citizen. You read my dreams as they wish life to be.

1 Citizen. Nursed by your arts, in sucking wisdom's dug.

Enter the first counsellor and Fernando

Counsellor 1. But is this certain?

Fernando. Noted sir, I have oracular proof of Brewen's murder.

Counsellor 1. Committed by whom?

Fernando. By his wife together with her lover and accomplice.

Counsellor 1. Lasciviousness kisses murder.

Fernando. Unless I miss my aim, both fiends will hang

Next week, I hope.

Counsellor 1. What else may be revealed?

Fernando. A second murder.

Counsellor 1. Hah? Which?

Fernando. Perpetrated by Ebdiah, his parishioners' particular subject of hate, on Libertine, the grossest lipper fit to die, though no crime allowed as yet in Christian countries.

Counsellor 1. The motive?

Fernando. Money.

Counsellor 1. Paid by whom?

Fernando. A certain Jeremy is shrewdly suspected, who caught the wencher wooing the coldest of any daughter.

Counsellor 1. As the newliest appointed magistrate in thes eparts, I'll interrogate all prisoners.

Enter Anne, Sapience, and guards

Fernando. Note sadly captured nests of poisoners.

1 Citizen. We see and then agree.

Counsellor 1. Wife of the murdered one?

Anne. No murder, sir. Who speaks of murder here?

Counsellor 1. I do, this man as your accomplice.

Sapience. O, no accomplice, sir.

Counsellor 1. As cruel a case as I ever read.

Anne. No cruelty. O, none.

Counsellor 1. What, not confess at once? To hold the limbs

Of mayhem, we apply the instruments

That let each muted victim speak aloud.

(The guards reveal the rack

Anne. O no! Not that on tender woman's frame!

I die before I say one word to you.

Sapience. Hold. I confess foul murder.

Anne. Ha? Are you mad?

Counsellor 1. You killed her husband?

Sapience. I did.

Counsellor 1. Bind first the woman.

Anne. O, no! O, no!

1 Citizen. I shudder at the marks to be bestowed

On young and tender flesh.

2 Citizen. I shudder for the husband, who cannot

In justice speak except through whorish mouths.

Sapience. Must I be placed there next?

Counsellor 1. A simple matter of judicial form.

Received in her position, prisoners

Reveal more matter, as our courts desire.

Anne. I'll tell you everything, sir.

Counsellor 1. Who murdered Brewen?

Anne. You ask such difficult questions, sir. I'm sure I cannot guess everything.

Counsellor 1. We start with a few notches.

Anne. Ha! All's hope lost. I'll never bear this. I

Admit I killed my husband.

Counsellor 1. Here justice triumphs on the primest seat

Of our authority. Unbind the whore

Who first thought to trick us, but know as well

You will be tried tomorrow, and the ropes

Applied whenever we suspect a lie.

As shepherds, careful with their flock, espy

The wolf, so likewise our authority

Intends to mash down haters of the fold

Our citizens tread in, which we protect.

You have performed what I should tremble but

To know. Remove the shames of humankind.

Exeunt Anne and Sapience, guarded

1 Citizen. Judiciously and judicially reasoned.

2 Citizen. I like this magistrate so far.

Counsellor 1. The next case now. Prepare to see dark deeds,

Unspeakably remorseless, nature-wild,

A murderer disguised as shepherd, false

In vows, in sacraments, in sermoning.

Enter Ebdiah, guarded

Thus, you confess to killing Libertine?

Ebdiah. Have I denied it yet?

Counsellor 1. Hard! No sense of contrition hereabouts?

Ebdiah. Contrition? In this clothing? I deny

The thing is possible.

Counsellor 1. Let me on torments dwell, how pointedly

We punish murder. In some Tartar blood,

We flinch at fellest cruelty, although

We batter worse for Christian money. Know

Our laws have cruel teeth, which you will find.

Citizen 1. He should be flowing.

Citizen 2. He should and must, in red.

Counsellor 1. Thus speak the citizens, allowed by us,

Aimed at each traitor of the flock within.

Who paid the fee?

Ebdiah. Fernando did.

Fernando. I'll make a mockery of bleeding when

I prove the traitor lies.

Counsellor 1. Ebdiah, laws discover all untruths.

Again I ask who paid the fee of death.

Ebdiah. Your fool-discoverer, Fernando did.

Counsellor 1. Where is our executionner?

Fernando. Sick, perspicacious sir, I summoned to

Replace the knave with his compunction.

Counsellor 1. O, very welcome here! But yet you may

Apply no maiming torture on yourself.

Fernando. True.

Counsellor 1. This must be further thought on. Jeremy,

Suspected in his daughter's guardianship,

Particular in chastity's defense,

I hear, must be called for, and keenly met

With arguments.

Fernando. He comes at once.

Enter Jeremy

Counsellor 1. Is your name Jeremy, a priest defrocked

For lewdness with his daughter?

Jeremy. She strays past every thought.

Counsellor 1. Your daughter, I presume.

Jeremy. About to be a noted one, I feel

It is most nearly so.

Counsellor 1. You know this man?

Jeremy. Once my assistant.

Counsellor 1. In virtue or in crime?

Jeremy. Both.

Counsellor 1. Ebdiah foully murdered Libertine:

Who paid the sum?

Jeremy. No one. He murders for digestion's sake.

Ebdiah. Ho, is that possible?

Fernando. No.

Jeremy. If once I catch this daughter, she will know

What thing it is to rob a father's mind.

Counsellor 1. Good magistrates prevent a tragedy.

Come, Jeremy, to us speak truth: are you

That parish Midas feeding slaves with gold?

Jeremy. He danced the night before his crucifixion:

Is that too trivial? Therefore, I swear I

Am out of love with all religions and

You all, and so I'll go away to think.

Counsellor 1. Bind tightly spinners of unlikeliness.

Fernando. I'll be his surety.

Jeremy. (bound

What rhapsodies afflict this magistrate?

Counsellor 1. Once more: how much do you pay murderers?

Jeremy. Ebdiah does it freely.

(A guard strikes Jeremy's face

Jeremy. A martyrdom. I hate that.

Counsellor 1. I loathe a liar more.

Fernando. In faith, I always did.

Citizen 2. Let him be wrung.

Counsellor 1. I thought of that before you did, I guess,

No serious officer more careful to

Distil the essence from impurities.

1 Citizen. We witness man's derision of the state.

2 Citizen. Obnoxious lizard dallying before

A bench of worthy judges.

Counsellor 1. Although no longer needed here, I thank

You, sirs. Remove the prisoner. To him

We'll speak tomorrow.

1 Citizen. Ha! More on these procedings I will read.

2 Citizen. I have a meeting elsewhere.

Exeunt Ebdiah, guarded, and the two citizens

To him, our frowns tell all. Come, speak the truth.

Jeremy. I stifle. Let me not live long enough

To moan at my departure. Horrid girl!

My soul's a tomb, each secret unrevealed,

While happy brethen crawl and taste within,

Though living, rotting. Here is love for her,

My consolation at the latest hour,

The heart entwined like new-created leaves

Beside hers, in law's cold and bitter winds.

No magistrate should with his bony mouth

Meet mine, but hers alone, unhappy as

I am when she is absent from my pains.

I faint on such a thought. How like a rag

I seem without her, soggy-limp, in tears

Suffused, between death's legs, my bed, not here,

Or else I'll open otherwhere her pit.

Counsellor 1. Does he feign madness?

Fernando. No, madness feigns like him.

Counsellor 1. We will not spare you, sir.

Jeremy. Familiar with so many miseries,

I bellow: "Excellent!", unpeopling hell,

To make all fellows snug in company.

Fernando. What slowly labors from assassin mouths

Still savors pleasantly to nostrils quick

In apprehension. Does not Jeremy

Cast lips of scorned revolt against the state?

Then let those lips be cut away at least.

Counsellor 1. No doubt he will reveal more matter soon.

Fernando. Or let his limbs be stretched to mimic death.

Jeremy. I'll thereby speak much as I have before.

Counsellor 1. Ha, is he weary of his very flesh?

Fernando. What should we do? That fellow-servants show.

Enter Amaryll and Trencher

You have discovered it?

Amaryll. Here it is.

Counsellor 1. A pill?

Fernando. Sufficient to make dumb dementia speak.

Behold our tablet: does it not catch light?

Our bulwark, strong against prevarication!

Counsellor 1. Will it afflict his spirits?

Trencher. We call them idiot pills. I assure your judicialship, one grain of this concoction makes cunning villains speak like imbeciles, and imbeciles like cunning villains, so that remotest deeds we thought gone from view are often happily guessed at.

Amaryll. Often has my husband, forcing me to swallow such as these, discovered what I never thought he knew, to my distress, he always silent but forgiving.

Fernando. At you again, dissembler. Open your mouth, unless with iron wrenched away.

Jeremy. No, no, no.

Fernando. Chew pleasantly on what is given me by an itinerant doctor, whom neighborhood ignorance declares unfit to practice.

Jeremy. No, I refuse.

Fernando. Another word and you are blots we leave

Behind. Once more, the hollow you lie with!

Jeremy. No, I refuse.

Fernando. (forcing his mouth open

Thus, thus, thus.

Jeremy. Friends, I must be silent for a time at least, for it ill becomes opinion to resound among dignitaries.

Fernando. That vicious turtle will lie on his back,

I promise you.

Amaryll. It has happened to me too often enough.

Trencher. And I the witness, complaining.

Counsellor 1. Is the brain in ferment?

Fernando. The operation works. Behold his eyes.

Counsellor 1. A glaze of nothing.

Fernando. His brain most like the hundred-year old cheese

I keep inside the cellar!

Amaryll. Strong in delight.

Trencher. Full of matter.

Fernando. My remedy for madness! Now the tide

Is strong within, and bulging to come up.

Counsellor 1. He seems to sleep.

Fernando. Oh, no, he thinks instead.

Trencher. To wayward Jeremy much the same thing!

Fernando. The tablet works differently depending on temperament.

Trencher. How like a fool he gapes!

Amaryll. Though substance seems to sizzle in the pan.

Counsellor 1. A mind contending with itself, I think.

Fernando. That vulture, reason, no more picks along

His crawling meditations.

Jeremy. My mind is bleeding.

Fernando. Good. Terror is awakening from sleep.

Scream for his brother, death-throes, Jeremy:

We'll charm the villain out.

Amaryll. To let him speak as children in their dreams.

Counsellor 1. No blows except kind words.

Trencher. He holds danger attached, unwilling to let go.

Fernando. Now I suspect his brain close to a parrot's in capacity.

Trencher. Improving, then?

Counsellor 1. Why does he gurgle?

Fernando. A kind of simple preparation to

The happy flowing of intelligence.

Amaryll. If good for nothing else, he'll prove excellent entertainment with Batholomew puppets.

Jeremy. O, cousin, I know fevers.

Fernando. No cousin, yet I'll ape delusion for

His benefit and ours.

Jeremy. O, cousin, listen: all my brain's on fire.

Spill gently whitethorn bushes over it.

Counsellor 1. To keep his ostrich secrets! I know him.

Fernando. You must recover, cousin, or else hear:

Our female doctor in dark chambers will

Keep you against your will, to nourish you

With even stronger medications.

Jeremy. Oh, no! My reason totters in the dark.

Fernando. No help for it if naughty. Patience dies,

Awaiting resurrection or erection

Of all the spirits you can summon here.

Trencher. Here is your needle, misty doctoress.

Amaryll. Speak truthfully, good patient, or else as

Your doctor, I'll inject your arm with dirt.

Jeremy. O, let no woman prick me, for then I

Am sure to scream. To honor humankind,

Kill all the mothers.

Counsellor 1. More mummeries, but closer to our theme.

Say at once and then speak again no more:

Fernando. Where did you meet Ebdiah? How much did

You pay the villain?

Counsellor 1. But staring.

Fernando. So, left where we once were.

Counsellor 1. Out with him, and with you! I swear I like

This case much less. To prison with the knave

And calculated craft!

Exeunt Amaryll and Trencher, with Jeremy, guarded,

No word more, sir. Tomorrow we will mend.

Yet know you are suspected. I will sift

A thousand villains ere I miss but one.

Exeunt the first counsellor and Fernando

Act 5. Scene 2. A street

Enter Jeremina, Trencher, and Amaryll

Jeremina. No man about for me.

Trencher. Worse than even that: your father weeping in jail.

Jeremina. Judged to guilty! I alone.

Amaryll. No, with us.

Trencher. Our former mistress to be hanged today.

Amaryll. Our would-be master, too.

Trencher. There is a sun tomorrow.

Amaryll. If we can see it from the cellar.

Trencher. Some say Fernando is the guiltiest knave.

Amaryll. I always knew him to play villainy.

Trencher. Proving no guilt in others directs the way for knives to enter in one's own.

Amaryll. Surely.

Trencher. Where uncertainty existed, he created surety, to his detriment.

Exeunt Jeremina, Trencher, and Amaryll


text:
User talk:Egm6321.f10.team5.oh/hw7

=Problem 1 - Plot and Observe = From (meeting 37 page 1)

Author and proof-reader
[Author]

[Proof-reader]

=Problem 2 - Sums of Even and Odd Functions= From (meeting 38 page 1)

Given

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f = \sum_i g_i $$ $$
 * $$\displaystyle
 * $$\displaystyle
 * $$\displaystyle (2-1)
 * }
 * }

Find
Show that: 1. If $$\displaystyle \{g_i\}$$ is odd, then $$\displaystyle f$$ is odd.

2. If $$\displaystyle \{g_i\}$$ is even, then $$\displaystyle f$$ is even.

Solution
[Background Knowledge] Even and odd functions

With above background knowledge, we can verify straightly forward.

'''Part 1. If $$\displaystyle \{g_i\}$$ is odd'''

According to the character of an odd function, such that $$\displaystyle f(x) = -f(-x)$$

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$$\displaystyle f(x) = \sum_i g_i(x) = \sum_i \left[-g_i(-x)\right] = -\sum_i g_i(-x) = -f(-x) $$
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 * }
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'''Part 2. If $$\displaystyle \{g_i\}$$ is even'''

According to the character of an even function, such that $$\displaystyle f(x) = f(-x)$$

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$$\displaystyle f(x) = \sum_i g_i(x) = \sum_i g_i(-x) = f(-x) $$
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Author and proof-reader
[Author] Oh, Sang Min

[Proof-reader]

=Problem 3 - 2 questions= From (meeting 38 page 1 and 3)

Given
'''Part 1. Legendre Polynomials' Evenness and Oddness'''

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P_n(x) = \sum_{i=0}^{[n/2]} \frac{(-1)^i (2 n - 2 i)! x^{n - 2i}}{2^n i! (n-i)! (n-2i)!} $$ $$
 * $$\displaystyle
 * $$\displaystyle
 * $$\displaystyle (3-1-1)
 * }
 * }

or

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P_n(x) = \sum_{i=0}^{[n/2]} \frac{1 \cdot 3 \cdot \cdot \cdot \left(2n - 2i - 1\right)}{2^i i! (n-2i)!} (-1)^i x^{n-2i} $$ $$
 * $$\displaystyle
 * $$\displaystyle
 * $$\displaystyle (3-1-2)
 * }
 * }

$$\displaystyle [\frac{n}{2}]$$ = interger part of  $$ \displaystyle \ \frac{n}{2} $$

'''Part 2. Find $$ \{a_i\} $$ and plot $$ q $$'''
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q(x) = \sum_{i=0}^5 c_i x^i $$ $$
 * $$\displaystyle
 * $$\displaystyle
 * $$\displaystyle (3-2-1)
 * }
 * }

with the coefficients
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c_0 = 2, \quad c_1 = -5, \quad c_2 = -3, \quad c_3 = 11, \quad c_4 = 7, \quad c_5 = 6 $$ $$
 * $$\displaystyle
 * $$\displaystyle
 * $$\displaystyle (3-2-2)
 * }
 * }

Find
'''Part 1. Legendre Polynomials' Evenness and Oddness'''

1. Show $$ P_{2k}(x)\qquad \qquad $$     is even k=0,1,2...

2. Show $$ P_{2k+1}(x) \qquad \qquad $$    is odd

'''Part 2. Find $$ \{a_i\} $$ and plot $$ q $$'''

1. Find $$ \{a_i\} $$

2. Plot $$ q $$

Part 1. Legendre Polynomials' Evenness and Oddness
1. In case of $$\displaystyle n=2k$$

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$$
 * $$ P_{2k}(x) = \sum_{i=0}^{[k]}\frac{(-1)^{i} \cdot (4k-2i)! \cdot \color{blue}{(x)^{2k-2i}}}{2^{2k} \cdot i! \cdot (2k-i)! \cdot (2k-2i)!} $$
 * $$\displaystyle (3-1-3)
 * $$\displaystyle (3-1-3)
 * }
 * }

 * {| style="width:100%" border="0" align="left"

 * }
 * }
 * }
 * }
 * }

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$$
 * $$ P_{2k}(-x) = \sum_{i=0}^{[k]}\frac{(-1)^{i} \cdot (4k-2i)! \cdot \underbrace{\color{blue}{(-x)^{2k-2i}}}_{(x)^{2k-2i}}}{2^{2k} \cdot i! \cdot (2k-i)! \cdot (2k-2i)!} $$
 * $$\displaystyle (3-1-4)
 * $$\displaystyle (3-1-4)
 * }
 * }

 * {| style="width:100%" border="0" align="left"

 * }
 * }
 * }
 * }
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According to the character of an even function, such that $$\displaystyle f(x) = f(-x)$$

$$\displaystyle (3-1-3), \ (3-1-4)$$ -->

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$$\displaystyle P_{2k}(x) =P_{2k}(-x) $$ Therefore, clearly $$\displaystyle P_{2k}(x) $$ is even
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 * }
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 * }
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2. In case of $$\displaystyle n=2k+1$$

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$$
 * $$ P_{2k+1}(x) = \sum_{i=0}^{[\frac{2k+1}{2}]}\frac{(-1)^{i} \cdot (4k+2-2i)! \cdot \color{red}{(x)^{2k+1-2i}}}{2^{2k+1} \cdot i! \cdot (2k+1-i)! \cdot (2k+1-2i)!} $$
 * $$\displaystyle (3-1-5)
 * $$\displaystyle (3-1-5)
 * }
 * }

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 * }
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 * }
 * }
 * }

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$$
 * $$ P_{2k+1}(-x) = \sum_{i=0}^{[\frac{2k+1}{2}]}\frac{(-1)^{i} \cdot (4k+2-2i)! \cdot \underbrace{\color{red}{(-x)^{2k+1-2i}}}_{-(x)^{2k+1-2i}}}{2^{2k+1} \cdot i! \cdot (2k+1-i)! \cdot (2k+1-2i)!} $$
 * $$\displaystyle (3-1-6)
 * $$\displaystyle (3-1-6)
 * }
 * }

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 * }
 * }
 * }
 * }
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According to the character of an even function, such that $$\displaystyle f(x) = -f(-x)$$

$$\displaystyle (3-1-5), \ (3-1-6)$$ -->

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$$\displaystyle P_{2k+1}(x) = \ - \ P_{2k+1}(-x) $$ Therefore, clearly $$\displaystyle P_{2k+1}(x) $$ is odd
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 * style="width:55%; padding:10px; border:2px solid #8888aa" |
 * }
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 * }
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Part 2. Find $$ \{a_i\} $$ and plot $$ q $$
1. Find $$ \{a_i\} $$

From HW6 problem 8

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P_0(x) = 1 $$ $$
 * $$\displaystyle
 * $$\displaystyle
 * $$\displaystyle (3-2-3)
 * }
 * }

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P_1(x) = x $$ $$
 * $$\displaystyle
 * $$\displaystyle
 * $$\displaystyle (3-2-4)
 * }
 * }

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P_2(x) = \frac{1}{2} \left(3 x ^ 2 - 1\right) $$ $$
 * $$\displaystyle
 * $$\displaystyle
 * $$\displaystyle (3-2-5)
 * }
 * }

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P_3(x) = \frac{1}{2} \left(5 x ^ 3 - 3 x\right) $$ $$
 * $$\displaystyle
 * $$\displaystyle
 *
$$\displaystyle (3-2-6)
 * }
 * }

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P_4(x) = \frac{35}{8} x ^ 4 - \frac{15}{4} x ^ 2 + \frac{3}{8} $$ $$
 * $$\displaystyle
 * $$\displaystyle
 *
$$\displaystyle (3-2-7)
 * }
 * }

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P_5(x) = \frac{63}{8} x ^ 5 - \frac{35}{4} x ^ 3 + \frac{15}{8}x $$ $$
 * $$\displaystyle
 * $$\displaystyle
 *
$$\displaystyle (3-2-8)
 * }
 * }

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 * }
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q\left(x\right) &= \sum_{i=0}^{4}\ a_{i} P_{i} \\ &= a_{0} + a_{1} x + a_{2} \frac{1}{2}\left(3x^{2}-1\right) + a_{3}\frac{1}{2}\left(5x^{3}-3x\right) + a_{4}\left(\frac{35}{8}x^{4}-\frac{15}{4}x^{2}+\frac{3}{8}\right) + a_{5}\left(\frac{63}{8} x ^ 5 - \frac{35}{4} x ^ 3 + \frac{15}{8}x\right)\\ &= \left(a_{0}-\frac{1}{2}a_{2}+\frac{3}{8}a_{4}\right) + x\left(a_{1}-3a_{3} + \frac{15}{8}a_5\right) + x^{2}\left(\frac{3}{2}a_{2}-\frac{15}{4}a_{4}\right) + x^{3}\left(\frac{5}{2}a_{3} - \frac{35}{4}a_5\right) + x^{4}\left(\frac{35}{8}a_{4}\right) + x^{5}\left(\frac{63}{8}a_5\right) \end{align} $$ $$
 * $$ \begin{align}
 * $$ \begin{align}
 *
$$\displaystyle (3-2-9)
 * }
 * }

 * {| style="width:100%" border="0" align="left"

 * }
 * }
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 * }
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 * $$ \begin{align}

\sum_{i=0}^{5}\ a_{i} &P_{i} = \sum_{i=0}^{5}\ c_{i} x^{i}& \\ \\ &\text{(1)  }a_{0} - \frac{1}{2}a_{2} + \frac{3}{8}a_{4} &= 2 \\ &\text{(2) }a_{1}-3a_{3} + \frac{15}{8}a_5 &= -5 \\ &\text{(3) }\frac{3}{2}a_{2} - \frac{15}{4}a_{4} &= -3 \\ &\text{(4) }\frac{5}{2}a_{3} - \frac{35}{4}a_5 &= 11 \\ &\text{(5) }\frac{35}{8}a_{4} &= 7 \\ &\text{(6) }\frac{63}{8}a_{5} &= 6 \end{align} $$

Clearly

$$\displaystyle a_5 = \frac{16}{21}, \ a_4 = \frac{8}{5} $$

$$\displaystyle \frac{5}{2}a_{3} = 11 + \frac{35}{4}a_5 $$

$$\displaystyle a_{3} = (11 + \frac{8}{3}) \cdot \frac{2}{5} \ = \ \frac{106}{15}$$

$$\displaystyle \frac{3}{2}a_{2} = -3 + \frac{15}{4}a_{4} $$

$$\displaystyle a_{2} = (-3 + 6) \cdot \frac{2}{3} \ = \ 2$$

$$\displaystyle a_{1} = -5 + 3a_{3} - \frac{15}{8}a_5 $$

$$\displaystyle a_{1} = -5 + \frac{106}{5} - \frac{10}{7} \ = \ \frac{517}{35}$$

$$\displaystyle a_{0} = 2 + \frac{1}{2}a_{2} + \frac{3}{8}a_{4} $$

$$\displaystyle a_{0} = 2 + 1 - \frac{3}{5} \ = \ \frac{12}{5}$$

Therefore

 * {| style="width:100%" border="0" align="left"

$$\displaystyle a_{0} = \frac{12}{5}, \ a_{1} = \frac{517}{35}, \ a_{2} = 2, \ a_{3} = \frac{106}{15}, \ a_4 = \frac{8}{5}, \ a_5 = \frac{16}{21} $$
 * style="width:2%; padding:10px; border:2px solid #8888aa" |
 * style="width:2%; padding:10px; border:2px solid #8888aa" |
 * }
 * }
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 * {| style="width:100%" border="0" align="left"

 * }
 * }
 * }

 2. Plot $$\displaystyle q$$

Author and proof-reader
[Author Oh, Sang Min

[Proof-reader]

=Problem 4 - Find property and evaluate= From (meeting 38 page 5)

Author and proof-reader
[Author]

[Proof-reader]

=Problem 5 - Second Solution to the 0th Legendre Polynomial= From (meeting 39 page 1)

Given
Part 1

 * {| style="width:100%" border="0" align="left"

P_0(x) = 1 $$ $$
 * $$\displaystyle
 * $$\displaystyle
 *
$$\displaystyle (5-1)
 * }
 * }

 * {| style="width:100%" border="0" align="left"

\ Q_0(x) = \frac{1}{2} \log \left(\frac{1 + x}{1 - x}\right) = \tanh^{-1}(x) $$ $$
 * $$\displaystyle
 * $$\displaystyle
 *
$$\displaystyle (5-2)
 * }
 * }

 * {| style="width:100%" border="0" align="left"

 * }
 * }
 * }
 * }
 * }

Part 2

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P_1(x) = x $$ $$
 * $$\displaystyle
 * $$\displaystyle
 *
$$\displaystyle (5-3)
 * }
 * }

 * {| style="width:100%" border="0" align="left"

\ Q_1(x) = \frac{1}{2} \log \left(\frac{1 + x}{1 - x}\right) - 1 = x \tanh^{-1}(x) - 1 $$ $$
 * $$\displaystyle
 * $$\displaystyle
 *
$$\displaystyle (5-4)
 * }
 * }

 * {| style="width:100%" border="0" align="left"

 * }
 * }
 * }
 * }
 * }

Find
'''Part 1. Verify $$\displaystyle (5-2)$$'''

'''Part 2. Verify $$\displaystyle (5-4)$$'''

Part 1. Verification of $$\displaystyle (5-2) $$
[Background Knowledge] Inverse function Hyperbolic function

According to above background knowledge,

 * {| style="width:100%" border="0" align="left"

$$
 * $$\displaystyle \tanh(Q_0) = x $$
 *
$$\displaystyle (5-5)
 *
$$\displaystyle (5-5)
 * }
 * }

 * {| style="width:100%" border="0" align="left"

$$
 * $$\displaystyle \tanh(x) = \frac{e^{2x} - 1}{e^{2x} + 1} $$
 *
$$\displaystyle (5-6)
 *
$$\displaystyle (5-6)
 * }
 * }

 * {| style="width:100%" border="0" align="left"

Using $$\displaystyle (5-5) $$ and $$\displaystyle (5-6) $$
 * }
 * }
 * }
 * }
 * }

 * {| style="width:100%" border="0" align="left"

\tanh(Q_0) = \frac{e^{2Q_0} - 1}{e^{2Q_0} + 1} $$
 * $$\displaystyle
 * $$\displaystyle
 *

 * }
 * }

 * {| style="width:100%" border="0" align="left"

 * }
 * }
 * }
 * }
 * }

 * {| style="width:100%" border="0" align="left"

\ = \ \frac{e^{2 \cdot \frac{1}{2} \log \left(\frac{1 + x}{1 - x}\right)} - 1}{e^{2 \cdot \frac{1}{2} \log \left(\frac{1 + x}{1 - x}\right)} + 1}
 * $$\displaystyle
 * $$\displaystyle

\ = \ \frac{\frac{1+x}{1-x} - 1}{\frac{1+x}{1-x} +1}

\ = \ \frac{\frac{1+x}{1-x} - \frac{1-x}{1-x}}{\frac{1+x}{1-x} + \frac{1-x}{1-x}}

\ = \ \frac{\frac{2x}{1-x}}{\frac{2}{1-x}} $$
 *

 * }
 * }

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 * }
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$$\displaystyle \ = \ x $$
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'''Therefore, $$\displaystyle \ Q_0(x) \ = \ tanh^{-1}(x) $$'''
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 * style="width:2%; padding:10px; border:2px solid #8888aa" |
 * }
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 * }
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Part 2. Verification of $$\displaystyle (5-4) $$
Using $$\displaystyle \ (1) \ p.39-1$$ such that

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Q_n(x) = P_n(x) \tanh^{-1}(x) - 2 \sum_{j=1,3,5...}^{J} \frac{2n-2j+1}{(2n-j+1)j} P_{n-j}(x), $$ $$
 * $$\displaystyle
 * $$\displaystyle
 *
$$\displaystyle (5-7)
 * }
 * }

 * {| style="width:100%" border="0" align="left"

 * }
 * }
 * }
 * }
 * }

In this case, $$ n=1, j=1$$

 * {| style="width:100%" border="0" align="left"

Q_1(x) = P_1(x) \tanh^{-1}(x) - 2 \sum_{j=1}^{1} \frac{2-2+1}{(2-1+1)} P_{1-1}(x) \ = \ x \tanh^{-1}(x) - 2 \cdot \frac{1}{2} $$
 * $$\displaystyle
 * $$\displaystyle
 * }
 * }
 * }

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\ = \ x \tanh^{-1}(x) - 1 $$
 * $$\displaystyle
 * $$\displaystyle
 * }
 * }
 * }

 * {| style="width:100%" border="0" align="left"

 * }
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 * {| style="width:100%" border="0" align="left"

'''Therefore, $$\displaystyle Q_1(x) \ = \ x \tanh^{-1}(x) - 1 $$ '''
 * style="width:2%; padding:10px; border:2px solid #8888aa" |
 * style="width:2%; padding:10px; border:2px solid #8888aa" |
 * }
 * }
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 * {| style="width:100%" border="0" align="left"

 * }
 * }
 * }
 * }
 * }

Author and proof-reader
[Author] Oh, Sang Min

[Proof-reader]

=Problem 6 - Odd and Even Solutions of Legendre= From (meeting 39 page 2)

Author and proof-reader
[Author]

[Proof-reader]

=Problem 7 - Attraction of Spheres= From (meeting 40 page 3)

Author and proof-reader
[Author]

[Proof-reader]

=Problem 8 - Binomial Series= From (meeting 40 page 4)

Given

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(x+y)^r = \sum_{k=0}^\infty \begin{pmatrix} r \\ k \end{pmatrix} x^{r-k} y^k $$ $$ where
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$$\displaystyle (8-1)
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\begin{pmatrix} r \\ k \end{pmatrix} = \frac{r(r-1) \cdot\cdot\cdot (r-k+1)}{k!} $$ $$
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$$\displaystyle (8-2)
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(1-x)^{-1/2} = \sum_{i=0}^\infty \alpha_i x^i $$ $$
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$$\displaystyle (8-3)
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where
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\alpha_i = \frac{1 \cdot 3 \cdot ... \cdot (2i - 1)}{2 \cdot 4 \cdot ... \cdot (2i)} $$ $$
 * $$\displaystyle
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$$\displaystyle (8-4)
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Find
Use $$\displaystyle (8-1), \ (8-2)$$ to obtain $$\displaystyle (8-3), \ (8-4)$$

Solution
[Background knowledge] Factorial

$$\displaystyle x=1, \ y=-x, \ r=-\frac{1}{2}$$ plug into $$\displaystyle (8-1)$$

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(1-x)^{-1/2} = \sum_{k=0}^\infty \begin{pmatrix} -1/2 \\ k \end{pmatrix} 1^{-1/2-k} (-x)^k $$ $$
 * $$\displaystyle
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$$\displaystyle (8-5)
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We can expand using $$\displaystyle (8-2)$$
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(1-x)^{-1/2} = \sum_{k=0}^\infty \frac{(-1/2)(-3/2)\cdot\cdot\cdot(1/2-k)}{k!} (-x)^k $$ $$
 * $$\displaystyle
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$$\displaystyle (8-6)
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(1-x)^{-1/2} = \sum_{k=0}^\infty \frac{(1)(3)\cdot\cdot\cdot(2k-1)}{(-2)^k k!} (-x)^k = \sum_{k=0}^\infty \frac{(1)(3)\cdot\cdot\cdot(2k-1)}{\underbrace{2^k k!}_{2 \cdot 4 \cdot \cdot \cdot (2k)}} x^k $$ $$
 * $$\displaystyle
 * $$\displaystyle
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$$\displaystyle (8-7)
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Change $$\displaystyle k \rightarrow i$$
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(1-x)^{-1/2} = \sum_{i=0}^\infty \underbrace{\frac{1 \cdot 3\cdot\cdot\cdot(2i-1)}{2 \cdot 4 \cdot \cdot \cdot (2i)}}_{\alpha_i}x^i $$ $$
 * $$\displaystyle
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$$\displaystyle (8-8)
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Therefore, we obtained $$\displaystyle (8-3), \ (8-4)$$ using $$\displaystyle (8-1), \ (8-2)$$
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Author and proof-reader
[Author] Oh, Sang Min

[Proof-reader]

=References=

=Contributing members= Oh, Sang min

title: User talk:Egm6321.f10.team5.oh/hw7


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