An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side ix
... circle of envelope ( cf. 203 ) Foci of envelope • Meaning of the tangential equation S - XS ' = 0 Director - circles of conics which touch four given straight lines have a common radical axis . [ See also 308 and 319. ] Examples CHAPTER ...
... circle of envelope ( cf. 203 ) Foci of envelope • Meaning of the tangential equation S - XS ' = 0 Director - circles of conics which touch four given straight lines have a common radical axis . [ See also 308 and 319. ] Examples CHAPTER ...
Side x
... circle 294 Conics through four fixed points 295 Conics touching four fixed lines 296 Conics with respect to which the triangle of reference is self - polar 297 • • Conics referred to two tangents and the chord of contact 298 The circle ...
... circle 294 Conics through four fixed points 295 Conics touching four fixed lines 296 Conics with respect to which the triangle of reference is self - polar 297 • • Conics referred to two tangents and the chord of contact 298 The circle ...
Side 8
... circle whose centre is the origin 0 and whose radius is equal to c , the square of the distance OP will be equal to x + y2 [ Art . 4 ] . But OP is equal to the radius of the circle . Therefore the co - ordinates x , y of any point on the ...
... circle whose centre is the origin 0 and whose radius is equal to c , the square of the distance OP will be equal to x + y2 [ Art . 4 ] . But OP is equal to the radius of the circle . Therefore the co - ordinates x , y of any point on the ...
Side 42
... circle and of the escribed circles of a triangle whose angular points are given . Let ( x ' , y ′ ) , ( x ' , y ... circle on the sides of the triangle are all drawn in the same direction as those from the angular points of the triangle ...
... circle and of the escribed circles of a triangle whose angular points are given . Let ( x ' , y ′ ) , ( x ' , y ... circle on the sides of the triangle are all drawn in the same direction as those from the angular points of the triangle ...
Side 60
... circle referred to any rectangular axes . Y K M N Let C be the centre of the circle , and P any point on its circumference . Let d , e be the co - ordinates of C ; x , y the co - ordinates of P ; and let a be the radius of the circle ...
... circle referred to any rectangular axes . Y K M N Let C be the centre of the circle , and P any point on its circumference . Let d , e be the co - ordinates of C ; x , y the co - ordinates of P ; and let a be the radius of the circle ...
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An Elementary Treatise on Conic Sections by the Methods of Co-ordinate Geometry Charles Smith Uten tilgangsbegrensning - 1921 |
Vanlige uttrykk og setninger
2hxy a² b2 angular points asymptotes ax² axes bisect by² Cambridge centre circumscribing coefficients College confocal conics conjugate diameters conjugate hyperbola constant corresponding cross ratio Crown 8vo curve diagonals directrix distance eccentric angles Edition ellipse envelope equal angles Extra fcap fcap find the equation find the locus fixed point fixed straight line foci focus four points given points given straight line harmonic Hence imaginary inscribed latus rectum Let the co-ordinates Let the equation line joining line whose equation meet middle point nine-point circle normals pair of conjugate parabola pass pencil perpendicular point of intersection point Q points at infinity points of contact polar pole Professor projection prove quadrilateral radical axis rectangular hyperbola required equation right angles shew sides square subtend tangents triangle of reference values vertex zero
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