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 170
3 0 Analytical Geometry. 161 Hence (af) becomes x = r cos3 cf> . (a) and (b) becomes y = r sin3 <f> . (b) Combining {a) and (b); x$ = r* cos2 <j>, yl = ^§ sin2 <^ Add; *3 + yi Art. 115. sin2<£ = 1 J, r% [since cos2<£ T(7 construct the hypocycloid. Let C be the directrix;… … Fig. 62. rolls, P will be at the distance DD from P and at the dis-tance AT from A. Hence with P as a centre and DDas radius describe an arc intersecting another describedwith A as centre and AT as radius. This intersectionpoint will be a point on the hypocycloid. When B is at B, P will be at the…
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-215-131.webp)
