An elementary treatise on analytical geometry : embracing plane co-ordinate geometry, and an introduction to geometry of three dimensions (1869)
Johnson, William Woolsey, 1841-1927 · Philadelphia : J.B. Lippincott · leaf 141
cos2 (p -j- sin2 <p = \. Takeany point P on the ellipse; thecorresponding value of <p may beconstructed thus: Prolong the or-dinate of P until it meets the cir-cle constructed on the major axisin P -, draw the radius PC, thenPCA, its inclination to the major axis, is the angle <p. For by… … SECANT AND TANGENT LINES. 137 definitions, , or — = cos PCA : and — s= —— = sin PCA, CF A B CP since by Art. 180 the ordinates in the ellipse and circle are in the ratio B : A. In the circle, tp is the same as 0, the angular co-ordinate of thepoint, when the pole is at the centre. In the ellipse it…
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-341-233.webp)
![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-361-254.webp)
