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 91
ring the associated values of X and Y7, andadding; the sum is found in each case to be R2. 119. These are the general values for the central co-ordinatesof the points P, P, in which the straight line cuts the circle. It iseasy to see that the rational parts, p cos a and p sin a must be the 86 THE… … general, the rational part of the two values of each co-ordinate ofintersection, being an arithmetical mean between them, is a co-ordinate of the middle point of the chord. See Art. 11. The real or imaginary character of the radical part showswhether the line cuts the curve or not. The supposition…
Geometry, Analytic
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