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 xiii
... infinite Distance 314 315 · > 316 317 · Proof that any Conic may be projected so as to become a Circle , while a given Line passes to Infinity 318 Orthogonal Projection Determination of Focus of Section of a right Cone Locus of Vertices ...
... infinite Distance 314 315 · > 316 317 · Proof that any Conic may be projected so as to become a Circle , while a given Line passes to Infinity 318 Orthogonal Projection Determination of Focus of Section of a right Cone Locus of Vertices ...
Página 21
... between them vanishes . COR . 2. The two lines are perpendicular to each other when AA ' + BB ' = 0 , since then the tangent of the angle between them becomes infinite , If the equations of the lines had been given in THE RIGHT LINE . 21.
... between them vanishes . COR . 2. The two lines are perpendicular to each other when AA ' + BB ' = 0 , since then the tangent of the angle between them becomes infinite , If the equations of the lines had been given in THE RIGHT LINE . 21.
Página 33
... infinite ( Art . 25 ) . 40. Given the equations of two right lines , to find the equation of a third through their point of intersection . - - The method of solving this question , which will first occur to the reader , is to obtain the ...
... infinite ( Art . 25 ) . 40. Given the equations of two right lines , to find the equation of a third through their point of intersection . - - The method of solving this question , which will first occur to the reader , is to obtain the ...
Página 64
... infinite , and the line is altogether situated at an infinite distance from the origin . Now it was proved ( Art . 63 ) that the equation under consideration is equivalent to 0x + 0y + C = 0 , and though it cannot be satisfied by any ...
... infinite , and the line is altogether situated at an infinite distance from the origin . Now it was proved ( Art . 63 ) that the equation under consideration is equivalent to 0x + 0y + C = 0 , and though it cannot be satisfied by any ...
Página 65
... infinite dis- tance its equation takes the form z = 0 , we learn that equations in Cartesian co - ordinates are only the particular form assumed by trilinear equations when two of the lines of reference are what are called the co ...
... infinite dis- tance its equation takes the form z = 0 , we learn that equations in Cartesian co - ordinates are only the particular form assumed by trilinear equations when two of the lines of reference are what are called the co ...
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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