Plane and solid analytic geometry; an elementary textbook (1905)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's Sons · leaf 227
ges, F,P, = P,R, 2 j_ p o 2 But P^R^ = X^ Xy, P,S\ = ^2 - VV md Pi7\ = H-H P\P-!. = V(a!2 - a!i)= + iV-i - VlY + (S2 - sO= [1] The distance, />, of any point from the origin isevidently p = Va?-^ + y^ + ^^ [2] 4. To divide a line in any given ratio. — Let the point P P P divide the line P^P^ so… … Fig. 3. Cii. I, §5] COORDINATE SYSTEMS. THE POINT 211 If PiP^ i^ projected on the other planes, we obtain inlike manner = ,», + «>. ^ ^ = »». + m. • t^] If the line is bisected, these formulas become ag= ,. > 2/=—0—» and z=—s—• L-^J PROBLEMS 1. Find the length of the line joining the two…
Geometry, Analytic
Internet Archive · Boston Library Consortium · Public Domain Mark 1.0. Free to use for anything.
