Masterworks of Science: Digests of 13 Great Classics by John Warren Knedler

By John Warren Knedler

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240, by (3) and (4) i%iX 11/40^4oX 11/40 (5). It follows that AB2 :BF2 < ( ioo7 2 +66 2 ) :66 2 < 1018405:4356. _ ON FLOATING BODIES ARCHIMEDES ^B:BF 66:2017% whence .................... (7). Now the angle BAG which is the result of the fourth bisection of the one-third of a right angle, is equal to one-forty-eighth f or of angle of a right angle.

That the Earth also is Spherical is spherical, all its sides resting upon its center. Of perfect sphericity is not immediately seen because of the great height of the mountains and the great depth of the valleys. But these scarcely modify the total rotundity of the earth. Its sphericity is manifest. Indeed, for those who, from any part of the earth, journey towards the SIMILARLY, the earth course, its north, the pole of diurnal revolution little by little rises and the opposite pole declines, and many stars in the northern region seem never to set, whereas others in the southern regions seem never to rise.

Let the plane of ABCD Conceive also another pyramid in the fluid with vertex continuous with the former pyramid and equal and similar to it. Let the pyramid so described be cut in OM, ON by the plane of ABCD, Lastly, let STUV be a part of the fluid within the second pyramid equal and similar to the part BGHC of "the solid, and let SV be at the } surface of the fluid. Then the pressures on PQ, QR arc unequal, that on PQ being the Hence the part at QR will be set in motion by that at PQ, and greater.

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