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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 31

An illustration from Analytic geometry and principles of algebra, 1913, leaf 31
The positive sense of the axis (drawn through the initial pointof the vector) makes wdth the vector two angles whose sum is2 TT = 360°. As their cosinesare the same it makes no differ-ence which of the two angles isused. With these conventions it isreadily seen that the sum of theprojections of the… … Fig. 19 I, § 20] COORDINATES 19 the vectors PJ\, ^V^;- ••• l*rJ*(\ ^^^ inclined at the angles«i, lu, ••• «-, to the axis /; the closing line Pil\, makes theangle « with I; its projection is P\P\,] and we have P1P2 cos «i + P.Po cos a., + P3P4 cos «3 + Pj^Pr, cos a^ + P:,Pc, cos <<5 = iV^6 =…

Geometry, Analytic

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