A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
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Stranica ix
... ( see 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.
... ( see 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.
Stranica 8
... values for x and y given in the last article . Ex . 1. The coordinates of a point satisfy the relation x2 + y2 - 4x - 6y = 18 ; what will this become if the origin be transformed to the point ( 2 , 3 ) ? Ans . X2 Y2 = 31 . Ex . 2. The ...
... values for x and y given in the last article . Ex . 1. The coordinates of a point satisfy the relation x2 + y2 - 4x - 6y = 18 ; what will this become if the origin be transformed to the point ( 2 , 3 ) ? Ans . X2 Y2 = 31 . Ex . 2. The ...
Stranica 11
... values ( a , ) for x in the original equations , we get two equations in y , which must have a common root ( since the result of elimination be- tween the equations is rendered 0 by the supposition x = α1 ) . Let this common root be ...
... values ( a , ) for x in the original equations , we get two equations in y , which must have a common root ( since the result of elimination be- tween the equations is rendered 0 by the supposition x = α1 ) . Let this common root be ...
Stranica 12
... values of x and y can be found which will satisfy the given equation . And yet the coordinates of any point taken at ... value of y , x = a , y = b ' , we should proceed as before , and we = Y K P ' P O M X should find a point P ' still ...
... values of x and y can be found which will satisfy the given equation . And yet the coordinates of any point taken at ... value of y , x = a , y = b ' , we should proceed as before , and we = Y K P ' P O M X should find a point P ' still ...
Stranica 13
... value we please ( x = a ) , and the equation will enable us to determine a finite number of values of y answering to this particular value of x ; and , consequently , the equation will be satisfied for each of the points ( p , q , r ...
... value we please ( x = a ) , and the equation will enable us to determine a finite number of values of y answering to this particular value of x ; and , consequently , the equation will be satisfied for each of the points ( p , q , r ...
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Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
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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