A treatise on the analytical geometry of the point, line, circle, and conic sectionsHodges, Figgis, 1885 - 331 páginas |
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Otras ediciones - Ver todo
Términos y frases comunes
2hxy a² b2 angular points anharmonic ratio asymptotes ax² axes bisects Brocard Brocard circle Brocard points by² called chord of contact circle x² circumcentre circumcircle coaxal system coefficients collinear concurrent lines concyclic confocal conic conjugate cos² cosec² curve DEF.-The denote diameter directrix drawn ellipse equal equilateral hyperbola Find the equation Find the locus fixed point focus given circles given points Hence inscribed intercept inverse join latus rectum line passing locus meet middle points mẞ Nine-points Circle pair parabola parallel perpendicular point of intersection point x'y points of contact polar prove quadrilateral radical axis respect right angles right line S₁ sec² sides sin² symmedian point tan² tangents theorem triangle ABC triangle formed triangle of reference vertex vertices
Pasajes populares
Página 143 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Página 236 - We learn that the locus of a point, such that the tangent from it to a fixed circle is in a constant ratio to its distance from a fixed line...
Página 62 - Find the locus of a point the sum of whose distances from two given parallel lines is equal to a given length.
Página 256 - Shew that the equation of the locus of the foot of the perpendicular from the centre of an ellipse on a tangent is r2=a2cos20 + fc2sin20.
Página 239 - If two conies have each double contact with a third, their chords of contact with the third conic, and a pair of their chords of intersection with each other, will all pass through the same point, and will form an harmonic pencil.
Página 170 - Prove that the area of the parallelogram formed by the tangents at the extremities of two conjugate diameters of an ellipse is constant, and is equal to 4 ab.
Página 142 - Catalan, depends on the fact that the circle circumscribing the triangle formed by three tangents to a parabola passes through the focus.
Página 240 - If two tangents be drawn to an ellipse from any point of a confocal ellipse, the excess of the sum of these two tangents over the arc intercepted between them is constant.
Página 21 - A line which divides two sides of a triangle proportionally is parallel to the third side.
Página 100 - The angles of the triangle formed by joining the points of contact of the inscribed circle of a triangle with the sides are equal to the halves of the supplements of the corresponding angles of the original triangle. 4. If ABC, A'B'C...