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 159
heslopes of supplemental chords in the hyperbola is, b2mm = —^ [putting — b2 for b2 in ellipse condition]. Since this is also the relation between the slopes of conjugate i5° Analytical Geometry. diameters, it follows that there is a pair of diameters parallelto every pair of supplemental chords,… … Fig. 56. readily determined as in the ellipse and a more arbitrarydefinition is necessary. The angle <f> so determined that x = a sec cf) and y = b tan <f), is called the eccentric angle for the point (x, y). Thesevalues will satisfy the equation b2x2 - a2y2 = a2b2;for substituting; a2b2…
Geometry, Analytic · Calculus
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
