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 vi
... circumscribing a Quadrilateral • Equation of Circle circumscribing Triangle a , ß , Y Geometrical meaning of the Equation Locus of Point such that Area of Triangle formed by feet of Perpendiculars from it on sides of Triangle may be ...
... circumscribing a Quadrilateral • Equation of Circle circumscribing Triangle a , ß , Y Geometrical meaning of the Equation Locus of Point such that Area of Triangle formed by feet of Perpendiculars from it on sides of Triangle may be ...
Página viii
... circumscribing Triangle formed by three Tangents passes through Focus ( see also pp . 203 , 263 , 273 , 308 ) 194 194 196 Polar Equation of Parabola . 196 CHAPTER XIII . EXAMPLES ON CONICS . Loci 197 Focal Properties 198 Locus of Pole ...
... circumscribing Triangle formed by three Tangents passes through Focus ( see also pp . 203 , 263 , 273 , 308 ) 194 194 196 Polar Equation of Parabola . 196 CHAPTER XIII . EXAMPLES ON CONICS . Loci 197 Focal Properties 198 Locus of Pole ...
Página ix
... circumscribing an inscribed or circumscribing Triangle Locus of intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates of intersection ...
... circumscribing an inscribed or circumscribing Triangle Locus of intersection of Tangents which cut at a given Angle ( see also pp . 202 245 , 273 ) 202 Locus of foot of Perpendicular from Focus on Normal Co - ordinates of intersection ...
Página x
... circumscribing Triangle formed by two Tangents and their Chord . 230 231 · • • Property of Chords of Intersection of two Conics , each having double contact with a third Diagonals of inscribed and circumscribed Quadrilateral pass ...
... circumscribing Triangle formed by two Tangents and their Chord . 230 231 · • • Property of Chords of Intersection of two Conics , each having double contact with a third Diagonals of inscribed and circumscribed Quadrilateral pass ...
Página xi
... circumscribing Hexagon ( see also p . 277 ) 258 Test whether three pairs of Lines touch the same Conic 258 · Equations of Lines joining to a given point intersections of two Curves 259 • Chord which subtends a right Angle at a fixed ...
... circumscribing Hexagon ( see also p . 277 ) 258 Test whether three pairs of Lines touch the same Conic 258 · Equations of Lines joining to a given point intersections of two Curves 259 • Chord which subtends a right Angle at a fixed ...
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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