Plane and solid analytic geometry; an elementary textbook (1901)
Ashton, Charles H. (Charles Hamilton), 1866- · New York, C. Scribner's sons · leaf 138
= ± (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 parenthesis,… … [45] 120 ANALYTIC GEOMETRY [Ch. IX, § 71 It will be necessary to consider the two branches of thehyperbola separately. For the right-hand branch ex1 isalways positive and greater than a; and the two dis-tances are FPX = e&i - a, [46, a]and FPX = exi + a. For the left-hand branch ex1 is negative…
Geometry, Analytic
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