A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
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Stranica xiii
... infinite Distance 329 Proof that any Conic may be projected so as to become a circle , while a given Line passes to Infinity · 330 Determination of Focus of Section of a right Cone 331 • Locus of Vertices of right Cones from which a ...
... infinite Distance 329 Proof that any Conic may be projected so as to become a circle , while a given Line passes to Infinity · 330 Determination of Focus of Section of a right Cone 331 • Locus of Vertices of right Cones from which a ...
Stranica 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.
Stranica 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 ...
Stranica 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 Ox + Oy + 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 Ox + Oy + C = 0 , and though it cannot be satisfied by any ...
Stranica 65
... infinite dis- tance its equation takes the form z = 0 , we learn that equations in Cartesian coordinates are only the particular form assumed by trilinear equations when two of the lines of reference are what are called the coordinate ...
... infinite dis- tance its equation takes the form z = 0 , we learn that equations in Cartesian coordinates are only the particular form assumed by trilinear equations when two of the lines of reference are what are called the coordinate ...
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Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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