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
... Theorem of Anharmonic Section proved Algebraic Expression for Anharmonic Ratio of a Pencil Homographic Systems of ... Theorems CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
... Theorem of Anharmonic Section proved Algebraic Expression for Anharmonic Ratio of a Pencil Homographic Systems of ... Theorems CHAPTER V. RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
Página vi
... theorem , that the four Circles which touch the sides of a Triangle are touched by the same Circle · Tangential ... theorems CHAPTER X. GENERAL EQUATION OF SECOND DEGREE . Number of conditions which determine a Conic Transformation to ...
... theorem , that the four Circles which touch the sides of a Triangle are touched by the same Circle · Tangential ... theorems CHAPTER X. GENERAL EQUATION OF SECOND DEGREE . Number of conditions which determine a Conic Transformation to ...
Página x
... Theorem ( see also pp . 268 , 289 , 304 , 307 ) 233 234 Steiner's Supplement to Pascal's Theorem ( see also p . 360 ) 235 Circles circumscribing the Triangles formed by four lines meet in a Point When five Lines are given , the five ...
... Theorem ( see also pp . 268 , 289 , 304 , 307 ) 233 234 Steiner's Supplement to Pascal's Theorem ( see also p . 360 ) 235 Circles circumscribing the Triangles formed by four lines meet in a Point When five Lines are given , the five ...
Página xii
... Theorem and Brianchon's mutually reciprocal 265 267 • 268 • · Polar of one Circle with regard to another Radical Axes and Centres of Similitude of Conics having double contact with a given one 270 · 271 Reciprocation of Theorems ...
... Theorem and Brianchon's mutually reciprocal 265 267 • 268 • · Polar of one Circle with regard to another Radical Axes and Centres of Similitude of Conics having double contact with a given one 270 · 271 Reciprocation of Theorems ...
Página xiii
... Theorem concerning the Circle through middle Points of Sides of Triangle • CHAPTER XVII . THE METHOD OF PROJECTION ... Theorem ( see also p . 277 ) of Pascal's Theorem • Projections of Properties concerning Foci The six Vertices of two ...
... Theorem concerning the Circle through middle Points of Sides of Triangle • CHAPTER XVII . THE METHOD OF PROJECTION ... Theorem ( see also p . 277 ) of Pascal's Theorem • Projections of Properties concerning Foci The six Vertices 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