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 iii
... LINE . Two Equations represent Points . A single Equation represents a Locus [ Geometric representation of Equations ... joining two given Points Condition that three Points shall be on one Right Line Co - ordinates of Intersection of ...
... LINE . Two Equations represent Points . A single Equation represents a Locus [ Geometric representation of Equations ... joining two given Points Condition that three Points shall be on one Right Line Co - ordinates of Intersection of ...
Página iv
... Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Co - ordinates of ... joining two Points 89 47 • 153 47 50 50 • 51 53 · 34 , 54 55 • 55 56 57 • 57 , 57 59 59 60 34 , 60 60 61 61 62 62 · ❁ ཤྩཤྩ ...
... Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Co - ordinates of ... joining two Points 89 47 • 153 47 50 50 • 51 53 · 34 , 54 55 • 55 56 57 • 57 , 57 59 59 60 34 , 60 60 61 61 62 62 · ❁ ཤྩཤྩ ...
Página v
... Line meets a given Circle Imaginary Points General definition of Tangents 75 ... joining their extremities transversely meet on its Polar 92 26 • Distances ... Line always touches a Circle Examples on Circle solved by Polar Co - ordinates ...
... Line meets a given Circle Imaginary Points General definition of Tangents 75 ... joining their extremities transversely meet on its Polar 92 26 • Distances ... Line always touches a Circle Examples on Circle solved by Polar Co - ordinates ...
Página viii
... Line joining Focus to its Pole ( see also pp . 244 , 272 ) 177 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord Polar Equation , Focus being Pole ( see p . 309 ) . 177 · 178 Segments of Focal Chord have ...
... Line joining Focus to its Pole ( see also pp . 244 , 272 ) 177 Line joining Focus to Pole of a Focal Chord is perpendicular to that Chord Polar Equation , Focus being Pole ( see p . 309 ) . 177 · 178 Segments of Focal Chord have ...
Página xii
... Lines and having double contact with a given Conic ( see also p . 345 ) 289 289 Anharmonic proof of Pascal's Theorem 289 of Locus of Centre , when four Points are given 290 • Envelope of Line joining corresponding Points of two ...
... Lines and having double contact with a given Conic ( see also p . 345 ) 289 289 Anharmonic proof of Pascal's Theorem 289 of Locus of Centre , when four Points are given 290 • Envelope of Line joining corresponding Points of two ...
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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