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 viii
... projection of distance between their Poles 189 190 · Subnormal Constant Locus of foot of Perpendicular from Focus on Tangent 191 193 • Locus of intersection of Tangents which cut at right Angles ( see also 273 , 339 ) Angle between two ...
... projection of distance between their Poles 189 190 · Subnormal Constant Locus of foot of Perpendicular from Focus on Tangent 191 193 • Locus of intersection of Tangents which cut at right Angles ( see also 273 , 339 ) Angle between two ...
Página xiii
... PROJECTION . PAGE 298 299 · 301 301 All Points at Infinity may be regarded as lying in a right Line Projective Properties of a Quadrilateral Any two Conics may be projected into Circles Projective proof of Carnot's Theorem ( see also p ...
... PROJECTION . PAGE 298 299 · 301 301 All Points at Infinity may be regarded as lying in a right Line Projective Properties of a Quadrilateral Any two Conics may be projected into Circles Projective proof of Carnot's Theorem ( see also p ...
Página 106
... the equation of the circle pop'o ' be a ( x2 + 2xy cos w + y2 ) + 2gx + 2fy + c = 0 , that of the other will be P a ( x2 106 PROPERTIES OF A SYSTEM OF TWO OR MORE CIRCLES . CENTRAL EQUATIONS PAGE THE METHOD OF PROJECTION PAGE.
... the equation of the circle pop'o ' be a ( x2 + 2xy cos w + y2 ) + 2gx + 2fy + c = 0 , that of the other will be P a ( x2 106 PROPERTIES OF A SYSTEM OF TWO OR MORE CIRCLES . CENTRAL EQUATIONS PAGE THE METHOD OF PROJECTION PAGE.
Página 219
... projections of the radius of curvature upon each axis . Now it is plain that this radius is to its projection on y as the normal to the ordinate y . We find the projection , therefore , of the radius of curvature on the axis of by ...
... projections of the radius of curvature upon each axis . Now it is plain that this radius is to its projection on y as the normal to the ordinate y . We find the projection , therefore , of the radius of curvature on the axis of by ...
Página 282
... HARMONIC AND ANHARMONIC PROPERTIES OF CONICS . 282 THE METHOD OF RECIPROCAL POLARS . Projections of Theorems concerning Angles in general Locus of Point cutting in given ratio intercept of variable Tangent between fixed Tangents.
... HARMONIC AND ANHARMONIC PROPERTIES OF CONICS . 282 THE METHOD OF RECIPROCAL POLARS . Projections of Theorems concerning Angles in general Locus of Point cutting in given ratio intercept of variable Tangent between fixed Tangents.
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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