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 149
X 2B; that is, the parallelogram formed by tangents at the vertices of anyconjugate diameters is equal to the rectangle of the axes. Lines Bisecting the Angles of Focal Lines. 199. For the equations of the linesjoining any point of the ellipse to thefoci, we make use of the formula for astraight… … LINES BISECTING THE ANGLES OF FOCAL LINES. 145 for x andy, the co-ordinates of F, (—c, 0), and clearing of frac-tions, we have the equation of PXF, (A cos <p -f- c) y --= B sin <p (x -f- c). In like manner, we find the equation of PXF, passing through thefocus (c, 0), (A cos <p — c) y = B…
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-329-220.webp)
