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 |
Dentro del libro
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Página v
... origin · Coordinates of Points where a given Line meets a given Circle Imaginary Points · General definition of Tangents Condition that Circle should touch either Axis Equation of Tangent to a Circle at a given Point Condition that a ...
... origin · Coordinates of Points where a given Line meets a given Circle Imaginary Points · General definition of Tangents Condition that Circle should touch either Axis Equation of Tangent to a Circle at a given Point Condition that a ...
Página viii
... Origin of names Parabola , Hyperbola , and Ellipse ( see also p . 328 ) CONFOCAL CONICS ASYMPTOTES : how found 186 • 186 190 191 Intercepts on Chord between Curve and Asymptotes are equal Lines joining two fixed to variable Point make ...
... Origin of names Parabola , Hyperbola , and Ellipse ( see also p . 328 ) CONFOCAL CONICS ASYMPTOTES : how found 186 • 186 190 191 Intercepts on Chord between Curve and Asymptotes are equal Lines joining two fixed to variable Point make ...
Página xii
... origin to another Reciprocals with regard to a Parabola 287 288 288 289 290 291 291 291 292 • 292 293 · CHAPTER XVI . HARMONIC AND ANHARMONIC PROPERTIES . Anharmonic Ratio , when one Point infinitely distant Centre the Pole of the Line ...
... origin to another Reciprocals with regard to a Parabola 287 288 288 289 290 291 291 291 292 • 292 293 · CHAPTER XVI . HARMONIC AND ANHARMONIC PROPERTIES . Anharmonic Ratio , when one Point infinitely distant Centre the Pole of the Line ...
Página xiii
... Origin of these Names 828 Every Parabola has a Tangent at an 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 ...
... Origin of these Names 828 Every Parabola has a Tangent at an 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 ...
Página 2
... origin . The axes are said to be rectangular or oblique , according as the angle at which they intersect is a right angle or oblique . It will readily be seen that the coordinates of the point M on the preceding figure are x = a , y = 0 ...
... origin . The axes are said to be rectangular or oblique , according as the angle at which they intersect is a right angle or oblique . It will readily be seen that the coordinates of the point M on the preceding figure are x = a , y = 0 ...
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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 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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