Selected quad for the lemma: water_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
water_n	dram_n	half_a	mix_v	6,566	5	10.1003	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A48262	Mathematicall recreations. Or, A collection of many problemes, extracted out of the ancient and modern philosophers as secrets and experiments in arithmetick, geometry, cosmographie, horologiographie, astronomie, navigation, musick, opticks, architecture, statick, mechanicks, chemistry, water-works, fire-works, &c. Not vulgarly manifest till now. Written first in Greeke and Latin, lately compi'ld in French, by Henry Van Etten, and now in English, with the examinations and augmentations of divers modern mathematicians whereunto is added the description and use of the generall horologicall ring: and the double horizontall diall. Invented and written by William Oughtred.; Récréation mathématique. English.	Oughtred, William, 1575-1660. aut	1653 (1653)	Wing L1790; ESTC R217635	140,825	339

a Pit continually to ascend without strength or the assistance of any other Pumpe LEt IL be the Pit where one would cause water to ascend continually to ●●ach office of a house or the places which are separated from it let there be made a receive● as A well closed up with lead or other matter that aire enter not in to which fasten a pipe of lead as at E which may have vent at pleasure then let there be made a Cisterne as B which may be communicative to A by helpe of the pipe G from vvhich Cistern B may issue the vvater of pipe D vvhich may descend to H vvhich is a little belovv the levell of the vvater of the pit as much as is GH to the end of vvhich shall be soldered close a Cock vvhich shall cast out the vvater by KH Novv to make use of it let B be filled full of vvater and vvhen you vvould have it run turne the Cock for then the vvater in B vvill descend by K. and for feare that there should be vacuity nature vvhich abhors it vvill labour to furnish and supply that emptinesse out of the spring F and that the Pit dry not the Pipe ought to be small of an indifferent capacity according to the greatnesse or smalnesse of the spring PROBLEM CXIIII How out of a fountaine to cast the water very high different from a Probleme formerly delivered LEt the fountaine be BD of a round forme seeing it is the most capable and most perfect figure place into it two pipes conjoyned as EA and HC so that no Aire may enter in at the place of joyning let each of the Pipes have a cock G L the cocke at G being closed open that at I so with a squirt force the water through the hole at H then close the Cocke at A draw out the squirt and open the cock at G. the Aire being before rarified will extend his dimensions and force the water with such violence that it will amount above the height of one or two Pipes and so much the more by how much the Machine is great this violence will last but a little while if the Pipe have too great an opening for as the Aire approacheth to his naturall place so the force will diminish PROBLEM CXV How to empty the water of a Cisterne by a Pipe which shall have a motion of it selfe LEt AB be the vessell CDE the Pipe HG a little vessell under the greater in which one end of the Pipe is viz. C and let the other end of the Pipe E. passing through the bottome of the vessell at F then as the vessell filleth so will the Pipe and when the vessell shall be full as farre as PO the Pipe will begin to runne at E of his owne accord and never cease untill the vessell be wholly empty PROBLEM CXVI How to squirt or spout out a great height so that one pot of water shall last a long time LEt there be prepared two vessels of Brasse Lead or of other matter of equal substance as are the two vessels AB and BD let them be joyned together by the two Pillars MN EF then let there be a pipe HG which may passe through the cover of the vessell CD and passe through AB into G making a little bunch or rising in the cover of the vessell AB so that the pipe touch it not at the bottome then let there be soldered fast another Pipe IL which may be separated from the bottome of the vessell and may have his bunchie swelling as the former without touching the bottome as is represented in L and passing through the bottome of AB may be continued unto I that is to say to make an opening to the cover of the vessell AB let it have a little mouth as a Trumpet to that end to receive the water Then there must further be added a very smal Pipe which may passe through the bottome of the vessell AB as let it be OP and let there be a bunch or swelling over it as at P so that it touch not also the bottome let there be further made to this lesser vessell an edge in forme of a Basin to receive the water which being done poure water into the Pipe IL untill the vessell CD be full then turne the whole Machine upside downe that the vessell CD may be uppermost and AB undermost so by helpe of the pipe GH the water of the vessell CD will runne into the vessel AB to have passage by the pipe PO. This motion is pleasant at a feast in filling the said vessel with wine which will spout it out as though it were from a boyling fountaine in the forme of a threed very pleasant to behold PROBLEM CXVIII How to practise excellently the reanimation of simples in case the plants may not be transported to be replanted by reason of distance of places TAke what simple you please burne it and take the ashes of it and let it be calcinated two houres between two Creusets wel luted and extract the salt that is to put water into it in moving of it then let it settle and do it two or three times afterwards evaporate it that is let the water be boyled in some vessel untill it be all consumed then there will remaine a salt at the bottome which you shall afterwards sowe in good Ground wel prepared such as the Theatre of husbandry sheweth and you shall have your desire PROBLEM CVIII How to make an infalliable perpetuall motion M●xe 5. or 6. ounces of ☿ with is equall weight of ♃ grinde it together with 10. or 12 ounces of sublimate dissolved in a celler upon a Marble the space of foure dayes and it will become like Oile Olive which distill with fire of chaffe or driving fire and it will sublime dry substance then put water upon the earth in forme of Lye which will be at the bottom of the Limbeck and dissolve that which you can filter it then distill it and there will be produced very subtill Antomes which put into a bottle close stopped and keep it dry and you shall have your desire with astonishment to all the world and especially to those which have travelled herein without fruit PROBLEM CXIX Of the admirable invention of making the Philosophers Tree which one may see with his eye to grow by little and little TAke two ounces of Aqua fortis and dissolve in it halfe an ounce of fine silver refined in a Cappell then take an ounce of Aqua fortis and two drams of Quick-silver which put in it and mixe these two dissolved things together then cast it into a Viall of halfe a pound of water which may be well stopped for then every day you may see it grow both in the Tree and in the branch This liquid serves to black haire which is red or white without fading untill they fall but here is to be noted that great care ought to be

of the account there need not to expresse them but this number 30840979456 and 35 Ciphers at the end of it Clavius and Archimedes make it somevvhat more because they make a greater firmament than Ticho Brahe doth and if they augment the Vniverse it is easie for us to augment the number and declare assuredly how many graines of sand there are requisite to fill another vvorld in comparison that our visible vvorld vvere but as one graine of sand an atome or a point for there is nothing to do but to multiply the number by it selfe vvhich vvill amount to ninety places vvhereof tvventie are these 95143798134910955936 and 70 Ciphers at the end of it vvhich amounts to a most prodigious number and is easily supputated for supposing that a graine of Poppy doth containe 10 graines of sand there is nothing but to compare that little bovvle of a graine of Poppy vvith a bovvle of an inch or of a foot that to be compared vvith that of the earth and then that of the earth vvith that o the firmament and so of the rest 2. Divers metalls being melted together in one body to finde the mixture of them THis wat a notable invention of Archimedes related by Vitrivius in his Architecture where he reporteth that the Gold-smith which King Hiero imployed for the making of the Golden Crowne which was to be dedicated to the gods had stolen part of it and mixed Silver in the place of it the King suspicious of the work proposed it to Archimedes if by Art he could discover without breaking of the Crowne if there had been made mixture of any other metall with the Gold The way which he found out was by bathing himselfe for as he entred into the vessell of water in which he bathed himselfe so the water ascended or flew out over it and as he pulled out his body the water descended from which he gathered that if a Bowle of pure Gold Silver or other metall were cast into a vessell of water the water proportionally according to the thing cast in would ascend and so by way of Arithmetick the question lay open to be resolved who being so intensively taken with the invention leapes out of the Bath all naked crying as a man transported I have found I have found and so discovered it Now some say that he took two Masses the one of pure Gold and the other of pure Silver each equall to the weight of the Crowne and therefore unequall in magnitude or greatnesse and then knowing the severall quantities of water which was answerable to the Crown and the severall Masses he subtilly collected that if the Crowne occupied more place within the water than the Masse of Gold did it appeared that there was Silver or other metall melted with it Now by the rule of position suppose that each of the three Masses weighed 18 pound a piece and that the Masse of Gold did occupie the place of one pound of water that of Silver a pound and a halfe and the Crown one pound and a quarter only then thus he might operate the Masse of Silver which weighed 18 pounds cast into the water did cast out halfe a pound of water more then the Masse of Gold which weighed 18 pound and the Crowne which weighed also 18 pound being put into a vessell full of water threw out more water than the Masse of Gold by a quarter of a pound because of mixt metall which was in it therefore by the rule of proportion if halfe a pound of water the excesse be answerable to 18 pound of Silver one quarter of a pound of excesse shall be answerable to 9 pound of Silver and so much was mixed in the Crowne Some judge the way to be more facill by weighing the Crowne first in the aire then in the water in the aire it weighed 18 pound and if it were pure Gold in the water it would weigh but 17 pound if it were Copper it would weigh but 16 pound but because vve vvill suppose that Gold and Copper is mixed together it vvill vveigh lesse then 17 pound yet more than 16 pound and that according to the proportion mixed let it then be supposed that it vveighed in the vvater 16 pound and 3 quarters then might one say by proportion if the difference of one pound of losse vvhich is betvveen 16 and 17 be ansvverable to 18 pound to vvhat shall one quarter of difference be ansvverable to vvhich is betvveen 17 and 16 ¾ and it vvill be 4 pound and a halfe and so much Copper vvas mixed vvith the Gold Many men have delivered sundry vvayes to resolve this proposition since Archimedes invention and it vvere tedious to relate the diversities Baptista Benedictus amongst his Arithmeticall Theoremes delivers his vvay thus if a Masse of Gold of equall bignesse to the Crovvne did vveigh 20 pound and another of Silver at a capacity or bignesse at pleasure as suppose did vveigh 12 pound the Crovvne or the mixt body would vveigh more than the Silver and lesser than the Gold suppose it vveighed 16 pound vvhich is 4 pound lesse than the Gold by 8 pound then may one say if 8 pound of difference come from 12 pound of Silver from vvhence comes 4 pound vvhich vvill be 6 pound and so much Silver vvas mixed in it c. 3. Three men bought a quantitie of wine each paid alike and each was to have alike it happened at the last partition that there were 21 Barrells of which 7 were full 7 halfe full and 7 empty how must they share the wine and vessells that each have as many vessells one as another as much wine one as another THis may be answered two wayes as followeth and these numbers 2 2 3 or 3 3 1 may serve for direction and signifies that the first person ought to have 3 Barrells full and as many empty ones and one which is halfe full so he shall have 7 vessells and 3 Barrels and a halfe of liquor and one of the other shall in like manner have as much so there will remaine for the third man 1 Barrell full 5 which are halfe full and 1 empty and so every one shall have alike both in vessells and wine And generally to answer such questions divide the number of vessells by the number of persons and if the Quotient be not an intire number the question is impossible but when it is an intire number there must be made as many parts as there are 3 persons seeing that each part is lesse than the halfe of the said Quotient as dividing 21 by 3 there comes 7 for the Quotient which may be parted in these three parts 2 2 3 or 3 3 1 each of which being lesse than ha●fe of 7. 4. There is a Ladder which stands upright against a wall of 10 foot high the foot of it is pulled out 6 foot from the wall upon the pavement how much hath the top of the Ladder descended THe ansvver is 2 foot

had in anointing the haire for feare of touching the flesh for this composition is very Corrosive or searching that as soone as it toucheth the flesh it raiseth blisters and bladders very painfull PROBLEM CXX How to make the representation of the great world DRaw salt Niter out of salt Earth which is found along the Rivers side and at the foot of Mountaines where especially are Minerals of Gold and Silver mix that Niter well cleansed with ♃ then calcinate it hermetically then put it in a Limbeck and let the receiver be of Glasse well luted and alwayes in which let there be placed leaves of Gold at the bottome then put fire under the Limbeck untill vapours arise which will cleave unto the Gold augment your fire untill there ascend no more then take away your receiver and close it hermetically and make a Lampe fire under it untill you may see presented in it that which nature affords us as Flowers Trees Fruits Fountaines Sunne Moone Starres c. Behold here the forme of the Limbeck and the receiver A represents the Limbeck B stands for the receiver PROBLEM CXXI How to make a Cone or a Pyramidall body move upon a Table without springs or other Artificiall meanes so that it shall move by the edge of the Table without falling THis proposition is not so thornie and subtile as it seemes to be for putting under a Cone of paper a Beetle or such like creature you shall have pleasure with astonishment admiration to those which are ignorant in the cause for this animall will strive alwayes to free herself from the captivity in which she is in by the imprisonment of the Cone for comming neere the edge of the Table she will returne to the other side for feare of falling PROBLEM CXXII To cleave an Anvill with the blow of a Pistoll THis is proper to a Warrier and to performe it let the Anvill be heated red hot as one can possible in such sort that all the solidity of the body be softned by the fire then charge the Pistoll with a bullet of silver and so have you infallibly the experiment PROBLEM CXXIII How to r●st a Capon carried in a Budget at a Saddle-bowe in the space of riding 5 or 6 miles HAving made it ready and larded it stuffe ●t with Butter then heat a piece of steele which may be formed round according to the length of the Capon and big enough to fill the Belly of it and then stop it with Butter then wrap it up well and inclose it in a Box in the Budget and you shall have your desire it is said that Count Mansfield served himse●fe with no others but such as were made ready in this kinde for that it loseth none of its substance and it is dressed very equally PROBLEM CXXIV How to make a Candle burne and continue three times as long as otherwise it would VNto the end of a Candle half●burned stick a farthing lesse or more to make it hang perpendicular in a vessel of water so that it swimme above the water then light it and it will susteine it self float in this manner and being placed into a fountaine pond or lake that runnes slowly where many people assemble it will cause an extreme feare to those which come therein in the night knowing not what it is PROBLEM CXXV How out of a quantitie of wine to extract that which is most windy and evill that it hurt not a sick Person TAke two vials in such sort that they be of like greatnesse both in th● belly and the neck fill one of them of wine and the other of water let the mouth of that which hath the water be placed into the mouth of that which hath the wine so the water shall be uppermost now because the water is heavier than the wine it will descend into the other Viall and the wine which is lowest because it is highest will ascend above to supply the place of the water and so there will be a mutuall interchange of liquids and by this penetration the wine wil lose her vapors in passing through the water PROBLEM CXXVI How to make two Marmouzets one of which shall light a Candle and the other put it out Upon the side of a wall make the figure of a Marmouzet or other animall or forme and right against it on the other wall make another in the mouth of each put a pipe or quill so artificially that it be not perceived in one of which place salt peter very fine and dry and pulverised and at the end set a little match of paper in the other place sulphur beaten smal then holding a Candle lighted in your hand say to one of these Images by way of command Blow out the Candle then lighting the paper with the candle the salt-peter wil blow out the Candle immediatly and going to the other Image before the match of the Candle be out touch the sulphur with it and say Light the Candle it will immediatly be lighted which will cause an admiration to those which see the action if it be wel done vvith a secret dexterity PROBLEM XXVII How to keepe wine fresh as if it were in a celler though it were in the heat of Summer and without Ice or snow yea though it were carried at a saddles bow and exposed to the Sun all the day SEt your wine in a viall of Glasse and place it in a Box made of wood Leather or such like about which vial place Salt-peeter and it will preserve it and keep it very fresh this experiment is not a little commodious for those which are not neare fresh waters and whose dwellings are much exposed to the Sunne PUOBLEM CXXVIII To make a Cement which indureth or lasteth as marble which resisteth aire and water without ever disjoyning or uncementing TAke a quantity of strong and gluing Morter vvell beaten mixe vvith this as much nevv slaked Lime and upon it cast Oile of Olive or Linseed-Oile and it vvill become hard as Marble being applyed in time PROBLEM CXXIX How to melt metall very quickly yea in a shell upon a little fire MAke a bed upon a bed of metall with pouder of Sulphur of Salt-peeter and saw-dust alike then put fire to the said pouder with a burning Charcole and you shall see that the metall will dissolve incontinent and be in a Masse This secret is most excellent and hath been practised by the reverend father Mercen●● of the order of the Minims PROBLEM CXXX How to make Iron or steele exceeding hard QVench your Blade or other Instrument seven times in the blood of a male Hog mixt with Goose-grease and at each time dry it at the fire before you wet it and it will become exceeding hard and not brittle which is not ordinary according to other temperings and quenchings of Iron an experiment of small cost often proved and of great consequence for Armorie in warlike negotiations PRBOLEM CXXXI To preserve fire as long as