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 136
ments AR and AR, intowhich it divides the major axis,and the equation expresses that the square of a perpendicularhas a constant ratio to the pro-duct of the segments into whichit divides the axis. Constructa circle on the major axis asdiameter. In Art. 106, we sawthat the square of the ordinatePR… … 132 THE ELLIPSE. A. This ratio (of the minor to the major axis) therefore deter-mines the shape of the ellipse, while the length of the major axisdetermines its size. There are thus two respects in which ellipsesdiffer from one another, while circles and parabolas differ only inone respect, that of…
Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
![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-348-238.webp)
