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The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners (1903)

Briggs, George R. (George Russell), b. 1853, Bôcher, Maxime, 1867-1918 · New York, J. Wiley & sons; [etc., etc.] · leaf 14

An illustration from The elements of plane analytic geometry. A text-book including numerous examples and applications, and especially designed for beginners, 1903, leaf 14
\ = M^ P^, and P^, withcoordinates x,-, ~ O M^, y^ =M^Po, be the given points.Let 8 represent the distancebetween P^ and P^. ThroughP^ draw a parallel to O X, andlet it meet M^P^ (or this lineextended if necessary) in thepoint R. Now we know that … X ox[ M, M2 ■^ N^ j^J-^Ji/^P^PP,^ must be a right tri-angle, and therefore that ^ 2 B = P^+ PP, (i) But P^ P is equal to jW^ M,_, the opposite side of a rectangle,both in length and direction. The points M^, O, and M^ are byconstruction on the same straight line X X, and therefore, by§ 2, we may…

Geometry, Analytic -- Plane

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