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 iii
... Origin in any Position 11 12 13 14 15 16 Meaning of the Constants in Equation of a Right Line 17 Equation of a Right Line in terms of its Intercepts on the Axes 18 in terms of the Perpendicular on it from Origin , and the Angles it ...
... Origin in any Position 11 12 13 14 15 16 Meaning of the Constants in Equation of a Right Line 17 Equation of a Right Line in terms of its Intercepts on the Axes 18 in terms of the Perpendicular on it from Origin , and the Angles it ...
Página v
... origin Co - ordinates of Points where a given Line meets a given Circle Imaginary Points General definition of Tangents 75 76 77 77 77 77 78 Condition that Circle should touch either Axis Equation of Tangent to a Circle at a given Point ...
... origin Co - ordinates of Points where a given Line meets a given Circle Imaginary Points General definition of Tangents 75 76 77 77 77 77 78 Condition that Circle should touch either Axis Equation of Tangent to a Circle at a given Point ...
Página viii
... Origin of names Parabola , Hyperbola , and Ellipse ( see also p . 316 ) 180 ASYMPTOTES : how found 180 Intercepts on Chord between Curve and Asymptotes are equal 181 Lines joining two fixed to variable Point make constant Intercept on ...
... Origin of names Parabola , Hyperbola , and Ellipse ( see also p . 316 ) 180 ASYMPTOTES : how found 180 Intercepts on Chord between Curve and Asymptotes are equal 181 Lines joining two fixed to variable Point make constant Intercept on ...
Página xii
... origin to another Reciprocals with regard to a Parabola 280 281 • CHAPTER XVI . HARMONIC AND ANHARMONIC PROPERTIES . Anharmonic Ratio , when one Point infinitely distant 283 Centre the Pole of the Line at infinity 284 · Asymptotes ...
... origin to another Reciprocals with regard to a Parabola 280 281 • CHAPTER XVI . HARMONIC AND ANHARMONIC PROPERTIES . Anharmonic Ratio , when one Point infinitely distant 283 Centre the Pole of the Line at infinity 284 · Asymptotes ...
Página xiii
... Origin of these Names SECTIONS OF A CONE Every Section is Ellipse , Hyperbola , or Parabola Every Parabola has a Tangent at an infinite Distance 314 315 · > 316 317 · Proof that any Conic may be projected so as to become a Circle ...
... Origin of these Names SECTIONS OF A CONE Every Section is Ellipse , Hyperbola , or Parabola Every Parabola has a Tangent at an infinite Distance 314 315 · > 316 317 · Proof that any Conic may be projected so as to become a Circle ...
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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