A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, Reader, and Dyer, 1869 - 377 страници |
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Резултати 1 - 5 от 34.
Страница viii
... difference of Focal Radii constant 172 Property of Focus and Directrix 173 Rectangle under Focal Perpendiculars on Tangent is constant 174 Focal Radii equally inclined to Tangent 174 Confocal Conics cut at right Angles 175 • Tangents at ...
... difference of Focal Radii constant 172 Property of Focus and Directrix 173 Rectangle under Focal Perpendiculars on Tangent is constant 174 Focal Radii equally inclined to Tangent 174 Confocal Conics cut at right Angles 175 • Tangents at ...
Страница ix
... difference of Reciprocals Examples on Parabola Three Perpendiculars of Triangle formed by three Tangents intersect on 201 • 201 201 Directrix ( see also pp . 236 , 263 , 278 , 329 ) 201 Area of Triangle formed by three Tangents 201 ...
... difference of Reciprocals Examples on Parabola Three Perpendiculars of Triangle formed by three Tangents intersect on 201 • 201 201 Directrix ( see also pp . 236 , 263 , 278 , 329 ) 201 Area of Triangle formed by three Tangents 201 ...
Страница xi
... difference of Tangents to two Circles is constant 252 Malfatti's problem • • 252 Tangent and Polar of a Point with regard to a Conic given by the general Equation 254 DISCRIMINANTS , defined ; discriminant of a Conic found ( see also pp ...
... difference of Tangents to two Circles is constant 252 Malfatti's problem • • 252 Tangent and Polar of a Point with regard to a Conic given by the general Equation 254 DISCRIMINANTS , defined ; discriminant of a Conic found ( see also pp ...
Страница xv
... Difference of Arc and Tangent , constant from any Point on Confocal Hyperbola Fagnani's Theorem 358 358 • Locus of Vertex of Polygon circumscribing a Conic , when other Vertices move on Confocal Conics 359 NOTES . Theorems on complete ...
... Difference of Arc and Tangent , constant from any Point on Confocal Hyperbola Fagnani's Theorem 358 358 • Locus of Vertex of Polygon circumscribing a Conic , when other Vertices move on Confocal Conics 359 NOTES . Theorems on complete ...
Страница 4
... difference of y ' and y " . The learner will find no difficulty , if , having written the co- ordinates with their proper signs , he is careful to take for PS and QS the algebraic difference of the corresponding pair of co - ordinates ...
... difference of y ' and y " . The learner will find no difficulty , if , having written the co- ordinates with their proper signs , he is careful to take for PS and QS the algebraic difference of the corresponding pair of co - ordinates ...
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Често срещани думи и фрази
anharmonic ratio asymptotes ax² axes bisected bisectors chord of contact circumscribing coefficients common tangents condition conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the co-ordinates find the equation find the locus fixed lines fixed point foci focus four points given circles given line given point Hence hyperbola imaginary points infinite distance inscribed intercept joining the points last Article length line at infinity line joining line meets meet the curve middle points origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadratic quadrilateral radical axis radius vector rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices