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 |
Dentro del libro
Resultados 1-5 de 41
Página viii
... difference of Focal Radii constant 177 • Property of Focus and Directrix 179 Rectangle under Focal Perpendiculars on Tangent is constant 180 • Focal Radii equally inclined to Tangent 180 Confocal Conics cut at Right Angles 181 Tangents ...
... difference of Focal Radii constant 177 • Property of Focus and Directrix 179 Rectangle under Focal Perpendiculars on Tangent is constant 180 • Focal Radii equally inclined to Tangent 180 Confocal Conics cut at Right Angles 181 Tangents ...
Página ix
... difference of Reciprocals . Examples on Parabola · 211 • 212 212 Three Perpendiculars of Triangle formed by three Tangents intersect on Directrix ( see also pp . 247 , 275 , 290 , 342 ) 212 Area of Triangle formed by three Tangents 212 ...
... difference of Reciprocals . Examples on Parabola · 211 • 212 212 Three Perpendiculars of Triangle formed by three Tangents intersect on Directrix ( see also pp . 247 , 275 , 290 , 342 ) 212 Area of Triangle formed by three Tangents 212 ...
Página xi
... difference of Tangents to two Circles is constant 263 Malfatti's problem 262 262 263 Tangent and Polar of a Point with regard to a Conic given by the general Equation 265 · DISCRIMINANTS defined ; discriminant of a Conic found ( see ...
... difference of Tangents to two Circles is constant 263 Malfatti's problem 262 262 263 Tangent and Polar of a Point with regard to a Conic given by the general Equation 265 · DISCRIMINANTS defined ; discriminant of a Conic found ( see ...
Página xv
... Difference of Arc and Tangent , constant from any Point on Confocal Hyperbola 377 Fagnani's Theorem • • Locus of Vertex of Polygon circumscribing a Conic , when other Vertices move on Confocal Conics 378 378 NOTES . Theorems on complete ...
... Difference of Arc and Tangent , constant from any Point on Confocal Hyperbola 377 Fagnani's Theorem • • Locus of Vertex of Polygon circumscribing a Conic , when other Vertices move on Confocal Conics 378 378 NOTES . Theorems on complete ...
Página 4
... difference of y ' and y " . The learner will find no difficulty , if , having written the coordinates with their proper signs , he is careful to take for PS and QS the algebraic difference of the corresponding pair of coordinates ...
... difference of y ' and y " . The learner will find no difficulty , if , having written the coordinates with their proper signs , he is careful to take for PS and QS the algebraic difference of the corresponding pair of coordinates ...
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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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