Schmall, Charles Nelson. [from old catalog] · New York, D. Van Nostrand company · leaf 335
Fig. 164 a Fij. 318 ANALYTICAL GEOMETRY with respect to 0, and 0 is called the pole of the pedal. Thus, withrespect to a focus, the pedal of au ellipse or hyperbola is the auxiliarycircle, and the pedal of a parabola is the tangent at the vertex. Weshall now find the pedal of a circle. … Fig. 164 cLet C be the center, radius a, and 0 any point, where OC = h.Now /o = OP = OL + LP = a + ?> cos 6. .. p = a + b cos B is the polar equation of the pedal; the curve is the Limagon alreadymentioned in this book. The limagon may be written p = -^a + hcos 6corresponding to parallel…
Geometry, Analytic
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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)
