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 95
e may construct it by means of its intercepts upon theaxes (which are, in this case, perpendicular diameters). R2 R2 An , JL n ■ . X/ Yx If Pj is a point of the circle, these values show that the interceptof a tangent upon a diameter is a third proportional to the corre-sponding co-ordinate of the… … 65; it is therefore per-pendicular to XXt -j- YYj = R2, in which the direction ratio is — —1- Whatever the position of Px therefore, the line XXX -j- YYX == R2 is perpendicular to the diameter on which P2 is situated.Its distance from the centre, as found by Art. 53, is R2 l/X,2 -f Y,2 * Or rather,…
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-343-234.webp)
