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 páginas |
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Página iv
... Vertices Area of any Polygon • Condition that three Lines may meet in a Point ( see also Area of Triangle formed by three given Lines Equation of Line through the Intersection of two given Lines 28 29 30 p . 34 ) • Test that three ...
... Vertices Area of any Polygon • Condition that three Lines may meet in a Point ( see also Area of Triangle formed by three given Lines Equation of Line through the Intersection of two given Lines 28 29 30 p . 34 ) • Test that three ...
Página xii
... Vertices of circumscribing Quadrilateral 275 • Tangential Equation of Reciprocal Conic 374 Trilinear Equation given Focus and either three Points or three Tangents Reciprocation of Anharmonic Properties 276 • 275 Carnot's Theorem ...
... Vertices of circumscribing Quadrilateral 275 • Tangential Equation of Reciprocal Conic 374 Trilinear Equation given Focus and either three Points or three Tangents Reciprocation of Anharmonic Properties 276 • 275 Carnot's Theorem ...
Página xiii
... Vertices of two Triangles circumscribing a Conic , lie on the same Conic , ( see also p . 331 ) Projections of Properties concerning Right Angles Locus of Pole of a Line with regard to a System of Confocal Conics The six Vertices of two ...
... Vertices of two Triangles circumscribing a Conic , lie on the same Conic , ( see also p . 331 ) Projections of Properties concerning Right Angles Locus of Pole of a Line with regard to a System of Confocal Conics The six Vertices of two ...
Página xiv
... Vertices but one move on another 337 · Condition that Lines joining to opposite vertices , Points where Conic meets Triangle of reference should form two sets of three meeting in a Point 337 General Tangential Equation of two Circular ...
... Vertices but one move on another 337 · Condition that Lines joining to opposite vertices , Points where Conic meets Triangle of reference should form two sets of three meeting in a Point 337 General Tangential Equation of two Circular ...
Página xv
... Vertices move on Confocal Conics 359 NOTES . Theorems on complete Figure formed by six Points on a Conic On systems of Tangential Co - ordinates • On Mr. Casey's form of the Equation of a Conic having double contact with a given one and ...
... Vertices move on Confocal Conics 359 NOTES . Theorems on complete Figure formed by six Points on a Conic On systems of Tangential Co - ordinates • On Mr. Casey's form of the Equation of a Conic having double contact with a given one and ...
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Términos y frases comunes
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