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The elements of coordinate geometry (1895)

Loney, S. L. (Sidney Luxton), 1860-1939 · London, Macmillan and co. · leaf 36

An illustration from The elements of coordinate geometry, 1895, leaf 36
adding 180° or any odd multiple of 180° to thevectorial angle and changing the sign of the radius vectorgives the same point as before. Thus the point [-r, ^ + (2n +1)180°] is the same point as [— r, 6 + 180°], i.e. is the point [r, 6\ 33. To find the length of the straight line joining twopoints… … Then (Trigonometry, Art. 164) AB - OA + OB-20 A. OB cos AOB= r-^ + r^ - 2r-^r^ cos {0^ - 6^. 34. To find the area of a triangle the coordinates ofwhose angular points are given. Let ABC be the triangle and let (r-^, 0^), (r^, 62), and(rg, ^3) be the polar coordinates ofits angular points.We…

Coordinates · Geometry, Analytic

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