Analytic geometry, for technical schools and colleges (1897)
Lambert, Preston Albert, 1862-1925 · New York, Macmillan · leaf 171
reted algebraically means that Xi is a linear function of X; that is, Xj = ^Jhj±A. By hypothesis, Xi = 0 when X = 0, cX + d ^ ^^ ^ and X, = CO when X = cc, hence b = 0, c = 0, and X, = - X. Let X = / and X, = /, be a third ])air of corresponding ele- * A complete projective treatment of conic… … ments;tlien - = -, Ai = -X, and the equations of tlie systems P+XQ = 0, Pi + Ai(3i = 0 become P + XQ = 0, IP^ + XI,Q,^0. Now the elements of^ IF, + XIQ, = 0 are the elements of P, + XQ, = 0,hence the systems betweenwhose elements there exists a^ one-to-one correspondence are the projective…
Geometry, Analytic
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