A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, 1904 - 399 sidor |
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A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Obegränsad förhandsgranskning - 1879 |
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A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Ingen förhandsgranskning - 2016 |
Vanliga ord och fraser
anharmonic ratio asymptotes ax² axes bisected bisectors by² chord of contact circumscribing coefficients common tangents condition conic having double conic section conic touching conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points geometrically given line given point 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 right angles right line second degree sides square substituting tangential equation theorem transform trilinear coordinates values vanish vertex vertices
Populära avsnitt
Sida 240 - Find the locus of a point, the square of whose distance from a given point is proportional to its distance from a given line.
Sida 241 - A conic is the locus of a point whose distance from a fixed point called the focus is in a constant ratio to its distance from a fixed line called a directrix.
Sida 179 - conic' is the locus of a point P which moves so that its distance from a fixed point S, called the 'focus,' is in a constant ratio to its distance from a fixed line called the 'directrix.
Sida 97 - If through any point 0 on the circumference of a" circle any three chords be drawn, and on each as a diameter a circle be described; these three circles (which of course all pass through 0) will intersect in three other points which lie on one right Une.
Sida 126 - 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...
Sida 230 - The radius of curvature at any point of a conic section, is equal to the cube of the normal divided by the square of half the parameter.
Sida 242 - If two conies have each double contact with a third conic, prove that their chords of contact with the third conic, and a pair of their chords of intersection with each other, will all meet in a point and form a harmonic pencil.
Sida 229 - There are three points on a conic, whose osculating circles pass through a given point on the curve...
Sida 377 - If two tangents be drawn to an ellipse from any point of a confocal ellipse...
Sida 213 - Find the locus of the. foot of the perpendicular from the focus on the tangent.