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city_n penny_n pound_n sum_n 26,410 5 12.5513 5 true
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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

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unto 15258807812500 pounds sterling which I think exceeds all the Treasures of all the Princes and of other particular men in the whole world and is not this good husbandry to sowe one grain of Corne and to continue it in sowing the increase only for 12 yeares to have so great a profit Of the increase of Sheep FOurthly those that have great flocks of Sheep may be quickly rich if they would preserve their Sheep without killing or selling of them so that every Sheep produce one each yeare for at the end of 16 yeares 100 Sheepe will multiply and increase unto 6553600 which is above 6 millions 5 hundred 53 thousand Sheep now supposing them worth but a crown a piece it would amount unto 1638400 pounds sterling vvhich is above 1 million 6 hundred 38 thousand pounds a faire increase of one Sheep and a large portion for a Childe if it should be allotted Of the increase of Cod-fish Carpes c. FIfthly if there be any creatures in the vvorld that do abound vvith increase or fertilitie it may be rightly attributed to fish for they in their kindes produce such a great multitude of Eggs and brings forth so many little ones that if a great part vvere not destroyed continually vvithin a ●ittle vvhile they vvould fill all the Sea Ponds and Rivers in the vvorld and it is easie to shevv hovv it vvould come so to passe onely by supposing them to increase without taking or destroying them for the space of 10 or 12 yeares having regard to the soliditie of the waters which are allotted for to lodge and containe these creatures as their bounds and place of rest to live in Of the increase and multiplication of men SIxthly there are some that cannot conceive how it can be that from eight persons which were saved after the deluge or Noahs flood should spring such a world of people to begin a Monarchie under Nimrod being but 200 yeares after the flood and that amongst them should be raised an army of two hundred thousand fighting men But it is easi●y proved if vve take but one of the Children of Noah and suppose that a nevv generation of people begun at every 30 yeares and that it be continued to the seventh generation vvhich is 200 yeares for then of one only family there vvould be produced one hundred and eleven thousand soules three hundred and five to begin the vvorld though in that time men lived longer and vvere more capable of multiplication and increase vvhich number springing onely from a simp●e production of one yearly vvould be farre greater if one man should have many vvives vvhich in ancient times they had from vvhich it is also that the Children of Israel vvho came into Egypt but onely 70 soules yet after 210 yeares captivity they came forth vvith their hostes that there vvere told six hundred thousand fighting men besides old people women and children and he that shall separate but one of the families of Joseph it would be sufficient to make up that number how much more should it be then if we should adjoyne many families together Of the increase of numbers SEventhly what summe of money shall the City of London be worth if it should be sold and the money be paid in a yeare after this manner the first week to pay a pinne the second week 2 pinnes the third week 4 pinnes the fourth week 8 pinnes the fifth week 16 pinnes and so doubling untill the 52 weeks or the yeare be expired Here one would think that the value of the pinnes would amount but to a small matter in comparison of the Treasures or riches of the whole City yet it is most probable that the number of pinnes would amount unto the sum of 4519599628681215 and if we should allow unto a quarter a hundred thousand pinnes the whole would contain ninetie eight millions foure hundred thousand Tunne which is able to load 45930 Shippes of a thousand Tunne apiece and if we should allow a thousand pins for a penny the summe of money would amount unto above eighteen thousand eight hundred and thirty millions of pounds sterling an high price to sell a Citie at yet certain according to that first proposed So if 40 Townes were sold upon condition to give for the first a penny for the second 2 pence for the third 4 pence c. by doubling all the rest unto the last it would amount unto this number of pence 109951●62●●76 which in pounds is 4581298444 that is foure thousand five hundred and fourescore millions of pounds and more Of a man that gathered up Apples Stones or such like upon a condition EIghtly admit there were an hundred Apples Stones or such like things that were plac'd in a straight line or right forme a Pace one from another and a basket being placed a Pace from the first how many paces would there be made to put all these Stones into the basket by fetching one by one this would require near halfe a day to do it for there would be made ten thousand and ninety two paces before he should gather them all up Of Changes in Bells in musicall Instruments transmutation of places in numbers letters men or such like NInethly is it not an admirable thing to consider how the skill of numbers doth easily furnish us with the knowledge of mysterious and hidden things which simply looked into by others that are not versed in Arithmetick do present unto them a world of confusion and difficultie As in the first place it is often debated amongst our common Ringers what number of Changes there might be made in 5 6 7 8 or more Bells who spend much time to answer their owne doubts entring often into a Labyrinth in the search thereof or if there were 10 voyces how many severall notes might there be These are propositions of such facility that a childe which can but multiply one number by another may easily resolve it which is but only to multiply every number from the unite successively in each others product unto the terme assigned so the 6 number that is against 6 in the Table is 720 and so many hanges may be made upon 6 Bells upon 5 there are 120 c. In like manner against 10 in the Table is 3618800 that is three millions six hundred twenty eight thousand eight hundred which shews that 10 voices may have so many consorts each man keeping his owne note but only altering his place and so of stringed Instruments and the Gamat may be varied according to which answerable to the number against X viz. 1124001075070399680000 notes from which may be drawne this or the like proposition Suppose that 7 Schollers were taken out of a free Schoole to be sent to an Vniversitie there to be entertained in some Colledge at commons for a certaine summe of money so that each of them have two meales daily and no longer to continue there then that sitting all together upon one bench or forme at every