The Analyst: A Monthly Journal of Pure and Applied Mathematics, Volumes 3-4Pierson & Blair, 1876 |
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... Quadrics so that their Intersections shall be Plane , · 118 97 Evans , Alexander , 10 , 75 Perfect Cubes , 104 Eggers , Dr. H. , 16 , 100 , 149 Pratt , Professor Orsen , Sen. , - 186 First Principles of the Differential Calculus . 13 ...
... Quadrics so that their Intersections shall be Plane , · 118 97 Evans , Alexander , 10 , 75 Perfect Cubes , 104 Eggers , Dr. H. , 16 , 100 , 149 Pratt , Professor Orsen , Sen. , - 186 First Principles of the Differential Calculus . 13 ...
Page 97
... quadrics we can eliminate one of the variables , say z , without raising the degree of the resulting equation above the second . Thus , if the equations are А1x2 + В1xу + С1у2 + D122 + E1x + F1y + G1 = 0 , А2x2 + В2xу + C2y2 + D222 + ...
... quadrics we can eliminate one of the variables , say z , without raising the degree of the resulting equation above the second . Thus , if the equations are А1x2 + В1xу + С1у2 + D122 + E1x + F1y + G1 = 0 , А2x2 + В2xу + C2y2 + D222 + ...
Page 98
... quadrics , and at these two points common tangent planes to the two surfaces may be drawn . Hence the intersection of two quadrics will be plane , whenever they have a common chord , at whose extremities planes may be drawn tangent ...
... quadrics , and at these two points common tangent planes to the two surfaces may be drawn . Hence the intersection of two quadrics will be plane , whenever they have a common chord , at whose extremities planes may be drawn tangent ...
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Common terms and phrases
5th degree a₁ algebraic ANALYST angle ARTEMAS MARTIN assumed axis b₁ C₁ circular coefficients common logarithms constant curve denote determine differential distance E. B. SEITZ ellipse Elliptic Functions equal equation expression factor formula function given circle gives hence hyperbola integral intersection inverse Lagrange's Theorem locus logarithms method multiply observations orbital orbital force ORSON PRATT oxen parabola parallel perpendicular plane points at infinity position probable error quadrics quadrilateral radius ratio reduce represent result roots sides SOLUTION BY PROF SOLUTIONS of problems sphere square substitution surface tangent Taylor's Theorem Theorem tion triangle UNION SPRINGS unknown quantities values velocity whence zero