Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 162
ellii)se,s and liyperbolasrepresented by eqiiation (1) is \(i+ \ —Ir— \\-= {tC-— U)-.Hence equation (1) when interpreted for different values of A.in the same rectangular axes represents ellipses and hyperbolashaving common foci; that is, a system of confocal conic sections.Through every point {x,… … a- + X b- + XThis function of A, .^1^ + ^ 1, a- + A h- + X is negative when A = + co,positive just before A be-comes — 6-, negative whenA is just less than — liand again positive whenA is just greater than — cr.Hence equation (2) deter-mines for A two values, one between + x and — h-, the…
Geometry, Analytic
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