Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 25
ion of coordinates. In the present case, where thenew axes are parallel to the old, this transformation can besaid to consist in a translation of the axes. 14. Area of Any Triangle. Let Pi(xi, y^, ^(-^2? 2/2)?P3 {x^, 2/3) be the vertices of the triangle (Fig. 13). If we takeone of these vertices,… … Fig.13 -4 = i{x^,-x.^\) = }, [(xi - xs) (yo - 7/3)- (.^2 - X,) (?/i - y.,)]= i[•^i(^2 -2/3) + ^2(./3 - //i) + Xs(y, - ?/.,)]. For numerical computation it is best to put down the coordi-nates of the three points with a 1 after each pair, thus: i, § 14] COORDIXATES 13 ^1 Vi 1x-> y-> 1 Then add…
Geometry, Analytic
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
