A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - 399 oldal |
Részletek a könyvből
1 - 5 találat összesen 76 találatból.
v. oldal
... Point , and its Polar Equation of pair of Tangents from a given Point to a Circle . Circle through three Points ( see also p . 130 ) Condition that four Points should lie on a Circle , and its Geometrical meaning Polar Equation of a ...
... Point , and its Polar Equation of pair of Tangents from a given Point to a Circle . Circle through three Points ( see also p . 130 ) Condition that four Points should lie on a Circle , and its Geometrical meaning Polar Equation of a ...
vi. oldal
... Points whence Tangents to two Circles have a given Ratio Radical Centre of ... four Circles touched by same fifth Method of Inversion of Curves 108 • 109 ... four Circles which touch the sides of a Triangle are touched by the same Circle ...
... Points whence Tangents to two Circles have a given Ratio Radical Centre of ... four Circles touched by same fifth Method of Inversion of Curves 108 • 109 ... four Circles which touch the sides of a Triangle are touched by the same Circle ...
vii. oldal
... four Points ( see also pp . 254 , 267 , 271 , 302 , 320 ) 153 CHAPTER XI . CENTRAL EQUATIONS . Transformation of general Equation to the centre Condition that it should represent right Lines • • Centre , the Pole of the Line at infinity ...
... four Points ( see also pp . 254 , 267 , 271 , 302 , 320 ) 153 CHAPTER XI . CENTRAL EQUATIONS . Transformation of general Equation to the centre Condition that it should represent right Lines • • Centre , the Pole of the Line at infinity ...
ix. oldal
... four Tangents ( see also pp . 254 , 268 , 339 ) ditto , given three Tangents and sum of squares of Axes Locus of Foci , given four Points Intersections of perpendiculars of four Triangles formed by four Lines lie on a right Line ...
... four Tangents ( see also pp . 254 , 268 , 339 ) ditto , given three Tangents and sum of squares of Axes Locus of Foci , given four Points Intersections of perpendiculars of four Triangles formed by four Lines lie on a right Line ...
x. oldal
... Points • Equations of Conics having double contact with each other Every Parabola has a Tangent at infinity ( see ... four Lines meet in a Point When five Lines are given , the five Points so found lie on a Circle Given five Tangents ...
... Points • Equations of Conics having double contact with each other Every Parabola has a Tangent at infinity ( see ... four Lines meet in a Point When five Lines are given , the five Points so found lie on a Circle Given five Tangents ...
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Más kiadások - Összes megtekintése
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Nincs elérhető előnézet - 2016 |
Gyakori szavak és kifejezések
anharmonic ratio asymptotes ax² axes bisected bisectors centre chord of contact circumscribing coefficients common tangents condition conic having double conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal express find the equation find the locus fixed line fixed point foci focus four points geometrically given conic 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 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
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