A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 páginas |
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Página vi
... Plane Proof of Prof. Casey's theorems . • CHAPTER X. • · 131 134 135 GENERAL EQUATION OF SECOND DEGREE . Number of conditions which determine a Conic Transformation to Parallel Axes of Equation of second Degree 136 • 137 Discussion of ...
... Plane Proof of Prof. Casey's theorems . • CHAPTER X. • · 131 134 135 GENERAL EQUATION OF SECOND DEGREE . Number of conditions which determine a Conic Transformation to Parallel Axes of Equation of second Degree 136 • 137 Discussion of ...
Página xiii
... Plane Curves from Spherical 331 331 Orthogonal Projection 332 Radius of Circle circumscribing inscribed Triangle 333 • CHAPTER XVIII . INVARIANTS AND COVARIANTS . Equation of Chords of Intersection of two Conics 334 Locus of ...
... Plane Curves from Spherical 331 331 Orthogonal Projection 332 Radius of Circle circumscribing inscribed Triangle 333 • CHAPTER XVIII . INVARIANTS AND COVARIANTS . Equation of Chords of Intersection of two Conics 334 Locus of ...
Página 1
... plane was introduced by Des Cartes in his Géométrie , 1637 , and has been generally used by succeeding geometers . We are supposed to be given the position of two fixed right lines XX ' , YY ' intersecting in the point 0 . through any ...
... plane was introduced by Des Cartes in his Géométrie , 1637 , and has been generally used by succeeding geometers . We are supposed to be given the position of two fixed right lines XX ' , YY ' intersecting in the point 0 . through any ...
Página 126
... plane triangle sin B + sin C - sin A = 4 cos4 sin B sin C , sinВ these values for l , m , n are respectively proportional to cos31⁄24 , cos B , cos2C , and the equation of the corresponding circle , which is the inscribed circle , is ...
... plane triangle sin B + sin C - sin A = 4 cos4 sin B sin C , sinВ these values for l , m , n are respectively proportional to cos31⁄24 , cos B , cos2C , and the equation of the corresponding circle , which is the inscribed circle , is ...
Página 134
... plane . This investigation is also Prof. Cayley's ( Lessons on Higher Algebra , p . 24 ) . Prefix a unit and cyphers to each of the determinants in the last example ; thus 1 , 0 , 0 , 0 x12 + y12 , — 2x1 , -2y1 , 1 & c . - 0 , 0 , 0 , 1 ...
... plane . This investigation is also Prof. Cayley's ( Lessons on Higher Algebra , p . 24 ) . Prefix a unit and cyphers to each of the determinants in the last example ; thus 1 , 0 , 0 , 0 x12 + y12 , — 2x1 , -2y1 , 1 & c . - 0 , 0 , 0 , 1 ...
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Otras ediciones - Ver todas
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Sin vista previa disponible - 2016 |
Términos y frases comunes
anharmonic ratio asymptotes ax² axes bisected bisectors by² centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points geometrically given conic given line given point Hence hyperbola imaginary points infinite distance inscribed intercept last Article 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 reciprocal rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices
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