Elements of analytical geometry and the differential and integral calculus (1856)
Robinson, Horatio N. (Horatio Nelson), 1806-1867 · Cincinnati : J. Ernst · leaf 138
find Each term being a square, will be positive, and therefore theequation can only be satisfied by making each term separatelyequal to 0. Whence a=a, h=b, and ab=ab. The third condition is in consequence of the first two. CHAPTER IV.On the Equation of a Plane. An equation which can represent any… … EQUATION OF A PLANE. 129 The co-ordinates AZ, and AX, designate a plane which wecall the plane of xz. The equation for any line in this plane, asMy is in the form z=ax-\-b. This equation represents points inthe line M, but if we assign to h any-other value, as h\ we shall have pointsin another line…
Geometry, Analytic · Calculus
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