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 страници |
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Страница x
... base Angles move on fixed Lines ( see also pp . 307 , 336 ) 239 • To inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 261 , 269 , 289 ) . Generalizations of MacLaurin's Method of generating Conics ...
... base Angles move on fixed Lines ( see also pp . 307 , 336 ) 239 • To inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 261 , 269 , 289 ) . Generalizations of MacLaurin's Method of generating Conics ...
Страница xi
... base Angles move along Conics 260 261 261 To inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 239 , 269 , 289 ) 261 · Equation of Conic touching five Lines 262 Co - ordinates of Focus of a Conic given ...
... base Angles move along Conics 260 261 261 To inscribe in a Conic a Triangle whose sides pass through fixed Points ( see also pp . 239 , 269 , 289 ) 261 · Equation of Conic touching five Lines 262 Co - ordinates of Focus of a Conic given ...
Страница xiv
... Base of Triangle inscribed in one Conic , two of whose sides touch another 336 • Locus of free Vertex of a Polygon all whose sides touch one Conic , and all whose Vertices but one move on another 337 · Condition that Lines joining to ...
... Base of Triangle inscribed in one Conic , two of whose sides touch another 336 • Locus of free Vertex of a Polygon all whose sides touch one Conic , and all whose Vertices but one move on another 337 · Condition that Lines joining to ...
Страница 19
... base . Ans . x У 1 - + = a b m 23. To express the equation of a right line in terms of the length of the perpendicular on it from the origin , and of the angles which this perpendicular makes with the axes . Let the length of the ...
... base . Ans . x У 1 - + = a b m 23. To express the equation of a right line in terms of the length of the perpendicular on it from the origin , and of the angles which this perpendicular makes with the axes . Let the length of the ...
Страница 26
... base of a triangle and the bisector of the base , form the equations of the two bisectors of sides , and find the co - ordinates of their intersection . Let the co - ordinates of the vertex be 0 , y ' , those of the base - angles x ...
... base of a triangle and the bisector of the base , form the equations of the two bisectors of sides , and find the co - ordinates of their intersection . Let the co - ordinates of the vertex be 0 , y ' , those of the base - angles x ...
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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