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Analytic geometry (1914)

Dowling, L. Wayland (Linnaeus Wayland), b. 1867, Turneaure, F. E. (Frederick Eugene), 1866- · New York, H. Holt and company · leaf 230

An illustration from Analytic geometry, 1914, leaf 230
ation sought.It is called the normalform of the equation be-cause it is expressed interms of the perpendic-ular from the origin. It follows that theequation of a plane is offirst degree in the vari-ables. We shall now show that, conversely, every equation of the first degree in the variables X, y,… … Fig. 129 214 THE PLANE [Chap. XIII. isfy it after each of the coefficients A, B, C, D is multiplied byany constant k. The constant Ti can be chosen so that the equa-tion TcAx -\- JcBy -{- kCz = — kD will coincide with equation (1),term for term; that is, so that kA = cos a,kB = cos ji,kC= cos y,kD…

Geometry, Analytic

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