Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 327
ket of oil remaining in it, after the oil has been pouredout, until half the bottom is exposed (see Figure 29). Let EGH be any section of the remaining contents,taken parallel to the axes. Take the origin at the centreof the base and the co-ordinate axes as the axis of thecylinder and a diameter of… … Hence area EGH = 4 EH X GH = h h ^ ~ x^ r hif - x2)dx_ 2_hr2r 3 2 J-r = contents remaining. EXERCISE XV.MISCELLANEOUS PROBLEMS. 1. Find the volume generated by an isosceles triangle ofaltitude, h, moving with its plane always perpendicular tothe plane of a circle of radius, r, and having always…
Geometry, Analytic · Calculus
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-401-278.webp)
