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 124
me equa- b2tion; hence comparing; mm! — —, which gives the relation between the slopes of supplemental chords. Art. 82. The equation to a diameter of the ellipse. The diameter it will be remembered, is the locus of themiddle points of a system of parallel chords. Analytical Geometry. JI5 Let RS be… … and (2), we get an equation whose roots are the abscissasof R and S, respectively, if y be eliminated; an equationwhose roots are the ordinates of R and S, if x be eliminated.Eliminating y; a2 (mx + c)2 + b2 x2 = a2 b2,a2 m2 x2 + 2 a2 mxc + a2 c2 + b2 x2 = a2 b2,2 a2 mc x2 + x + a - a2 b2 = o a2 m2…
Geometry, Analytic · Calculus
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