Elements of analytical geometry and of the differential and integral calculus (1866)
Davies, Charles, 1798-1876 · New York, Barnes & Co. · leaf 172
is of Z^ a; = 0, 2/ = 0, and 2 = ± c. 171 Distance between two points. 15. Let (ft Q\ Q,) beone of the points, and (P,r, P,) the other. Denote the co-ordinates ofthe first point, by x\ y\ z\those of the second by x\y\ z\ and the length ofthe required distance, by D,The line §P, is the projec-tion… … 172 ANALYTICAL GEOMETRY. [bOOKVI. But, Qp ^x-x\ Fp = y-y\ and pT = z z.In the right-angled triangle QPp>i ^^^ have, Qf= {x-xy+ {y-yy\hence, i>2 ^ ^^» _ r^y + (y// _ y)2 4. ^^n _ ^ry^ and, D= y^x - xY + (y - y) + (2 - ^Y- 1. The projection of a line, on either of the co-ordinateaxes^ is that…
Geometry, Analytic · Calculus
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