Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 44
N ixiy2 - 2/2X1) 27 P2 = ( —1, 1), which has the same length and the same slope asthe former, the expression (xiy2 — x^yy) has the value — 1.Changing to polar coordinates by means of the relations Xi =■ i\ cos 61, 2/1= r^ sin ^1, x^ = r^ cos 02, y-i = r^, sin B^ (Art. 9),the expression {x-^y^ —… … FiG. 21 tive ; that is, when 62 — &i is an angle in the first, or the second,quadrant. In either case, the segment PiP^ has a position suchthat, in passing from Pi to P2> the origin lies to the left as at (a).Fig 21. On the other hand, the expression {x{y2 — x^^ will be negativewhen ^2 — ^1…
Geometry, Analytic
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