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 134
Fig. 46 119. Subtraction. The difference of fa-o complex numbersz^ = .v\ + y.^i and z, = x., + y.J- is de- yfined as the complex njirnher z= (x^— .To) + C/i ~ y2>^- Its representativepoint P is found geometrically bylaying off from P^ (Fig. 47) a seg-ment P^P ec[ual and opposite toOPo, i.e.… … 122 PLANE AXALYTIC GEO:\IETRY [VII, § 120 120. Multiplication. The product of tv:o complex numbersz^ = i\ + y-^i and Zo = Xo + 1/2^ ^^ found by multiplying these tv:oexpressions according to the ordinary rules of cdgebra and observ-ing that r = — 1. We thus liud : which is a complex number. A…
Geometry, Analytic
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