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 251
le; drop a perpendicular from theorigin upon the base AB, and let 0, denoting the inclination ofthis perpendicular, be the auxiliaryvariable. Since PAB is a given tri-angle, any of its parts may be used asconstants. It will be most convenientto use the perpendicular from P, andthe segments into… … perpendiculars from both x =p cos 0 -j- o sin 0 and y =p sin 0 -f- a cos 0. These are the two relations between x, y and 0. We eliminate 0 byfinding values for sin 0 and cos 0 and using the relation sin2 0 -j-cos20r=l. Thus, eliminating successively sin 0 and cos 0, wehave (p2 — ah) cos 0 ==px — by…
Geometry, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
