14. How a grosse body of mettle may swimme upon the water?
THis is done by extending the mettle into a thin Plate, to make it hollovv in forme of a vessel; so that the greatnesse of the vessell which the aire vvith it containeth, be equal to
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.
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- 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.
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- London :: printed for William Leake, at the signe of the Crown in Fleetstreet, between the two Temple Gates,
- M D C LIII. [1653]
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- Science -- Problems, exercises, etx. -- Early works to 1800.
- Mathematics -- Problems, exercises, etc. -- Early works to 1800.
- Fireworks -- Early works to 1800.
- Scientific recreations -- Early works to 1800.
- Sundials -- Early works to 1800.
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"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." In the digital collection Early English Books Online. https://name.umdl.umich.edu/A48262.0001.001. University of Michigan Library Digital Collections. Accessed May 2, 2024.
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Page 203
the magnitude of the vvater, vvhich vveighes as much as it, for all bodies may svvim vvithout sinking, if they occupie the place of vvater equal in vveight unto them, as if it vveighed 12 pound it must have the place of 12 pound of vvater: hence it is that vve see floating upon the vvater great vessells of Copper or Brasse, vvhen they are hollovv in forme of a Caldron. And how can it be otherwise conceived of Islands in the Sea that swim and float? is it not that they are hollow and some part like unto a Boat, or that their earth is very light and spongeous, or ha∣ving many concavities in the body of it, or much wood within it?
And it would be a pretty proposition to shew how much every kinde of metall should be inlarged, to make it swim upon the water: which doth depend upon the proportion that is between the vveight of the vvater and each metall. Novv the proportion that is betvveene metalls and water of equall magnitude, accord∣ing to some Authors, is as followeth.
A magnitude of 10 pound weight of water will require for the like magnitude of
- Gold.
- 187 ½
- Lead.
- 116 ½
- Silver.
- 104
- Copper.
- 91
- Iron.
- 81
- Tinne.
- 75
From which is inferred, that to make a piece of Copper of ••0 pound weight to swimme, it must be so made hollow, that it may hold 9 times that weight of water and somewhat more, that is to say, 91 pound: seeing that Cop∣per
Page 203
and water of like magnitudes in their pon∣derosities, are as before, as ••0 to 91.