A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 páginas |
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Página v
... represent Right Lines ( see also Number of conditions that higher Equations may represent Right Lines Number of terms in Equation of nth Degree • CHAPTER VI . THE CIRCLE . Equation of Circle • Conditions that general Equation may ...
... represent Right Lines ( see also Number of conditions that higher Equations may represent Right Lines Number of terms in Equation of nth Degree • CHAPTER VI . THE CIRCLE . Equation of Circle • Conditions that general Equation may ...
Página ix
... also p . 338 ) 231 CHAPTER XIV . ABRIDGED NOTATION , Meaning of the Equation SkS ' Three values of k for which it represents right Lines 232 • 233 PAGE Equation of osculating Circle Equation of Conic passing through CONTENTS . ix.
... also p . 338 ) 231 CHAPTER XIV . ABRIDGED NOTATION , Meaning of the Equation SkS ' Three values of k for which it represents right Lines 232 • 233 PAGE Equation of osculating Circle Equation of Conic passing through CONTENTS . ix.
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... represents a point . If the equations be of higher degree , they represent more points than one . For , eliminating y between the equations , we obtain an equation containing x only ; let its roots be a ,, a , a , & c . Now , if we ...
... represents a point . If the equations be of higher degree , they represent more points than one . For , eliminating y between the equations , we obtain an equation containing x only ; let its roots be a ,, a , a , & c . Now , if we ...
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... represent . We can illustrate by a still simpler example , that a single equation between the coordinates signities ... represented by the equation x = a , were merely given the know that the point P MK , but its position in since ...
... represent . We can illustrate by a still simpler example , that a single equation between the coordinates signities ... represented by the equation x = a , were merely given the know that the point P MK , but its position in since ...
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... represent its figure to the eye . Ex . 1. Represent in a figure a series of points which satisfy the equation y = 2x + 3 . Ans . Giving a the values - 2 , 1 , 0 , 1 , 2 , & c . , we find for y , 1 , 1 , 3 , 5 , 7 , & c . , and the ...
... represent its figure to the eye . Ex . 1. Represent in a figure a series of points which satisfy the equation y = 2x + 3 . Ans . Giving a the values - 2 , 1 , 0 , 1 , 2 , & c . , we find for y , 1 , 1 , 3 , 5 , 7 , & c . , and the ...
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Otras ediciones - Ver todas
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2016 |
Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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