Mathematics for engineering students, Analytical geometry and calculus (1907)
Keller, S. S. (Samuel Smith), 1867-1923, Knox, W. F., [from old catalog] joint author · New York : D. Van Nostrand company · leaf 63
he angleremaining a right angle. Let OX and OY* be the new axes, the axis OrX mak-ing the angle 0 with the old X-axis, and the new origin Obeing at the point (a, b). Let the old co-ordinates of P [OD and PD in the figure]be (x, y) and the new co-ordinates [OA and PA in thefigure] be {xf, /). Draw… … «g- 23. Also in BPA, BA = PA sin BPA or BA = / sin 0; andOF= a. Substituting in (1), x = a + oc? cos 0 — y sin d.Again: PD = y = OF + AC + PB . . . . (2)OrF = b; AC - (TA sin AOC or AC - x sin 0 and PB = PA cos BPA or PB = / cos d. Substituting in (2), y = b + 00 sin d + yf cos ^ )x = a -\- xf cos…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
