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Plane and solid analytic geometry; an elementary textbook (1904)

Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 202

An illustration from Plane and solid analytic geometry; an elementary textbook, 1904, leaf 202
of the conies obtained in problems1 and 2. CHAPTER XIV PROBLEMS IN LOCI 1. Find the locus of the vertex of a right angle whose 1. or ijsides are tangent to the ellipse — + *- <(- The equations of any two perpendicular tangents PKand PL may be written in the form y Ip + y/lfcP + lPi and t/ = ljc… … Fig. 92. two equations in x\ y\and the variable param-eter lv By eliminating lv we shall obtain a single equa-tion in xr and yf. Clearing of fractions, transposing, andsquaring, 185 186 ANALYTIC GEOMETRY [Ch. XIV y2 - 2 lxxy + l2x2 = l2a2 + b2l2y2 + 2 Z^y 4- x2 = a2 + ^262 Adding, (l + Z12)y2+(l +…

Geometry, Analytic

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