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 152
NJUGATE DIAMETERS. 147 Ellipse Referred to Conjugate Diameters. 202. Since a diameter bisects chords parallel to its conjugate, theequation of the ellipse referred to conjugate diameters will express therelation between the semi-chords and the parts of the diameter cutoff. To find this relation, we… … The rational parts of these values are theco-ordinates of M, and the radical partsare the differences of the co-ordinates ofM and P. Therefore CM2 is the sum ofthe squares of the rational parts, andPM2 is the sum of the squares of theradical parts. Let CPX be taken as thethe axis of X, and CD as…
Geometry, Analytic
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