Plane and solid analytic geometry; an elementary textbook (1904)
Ashton, Charles Hamilton, 1866-1936 · New York, C. Scribner's Sons · leaf 136
Pl = ± (a + ex{). Let the student show that, though the work in the caseof the hyperbola will be slightly different, the results willbe the same. Since it is only the length of the focal radii that weseek, it will be neces-sary to determine ineach conic which signshould be used beforethe… … [45] 120 ANALYTIC GEOMETRY [Ch. IX, § 71 It will be necessary to consider the two branches of thehyperbola separately. For the right-hand branch exx isalways positive and greater than a; and the two dis-tances are FP-. = exi - a, [46, »]and FP1 = exi + a. For the left-hand branch ex1 is negative…
Geometry, Analytic
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