An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side viii
... points and conjugate lines 194 · 195 A chord of a conic is cut harmonically ... Four foci of a conic 204 Eccentricities of a conic 205 Equations giving the ... points Conics through four points . [ See also 295 ] Two parabolas through ...
... points and conjugate lines 194 · 195 A chord of a conic is cut harmonically ... Four foci of a conic 204 Eccentricities of a conic 205 Equations giving the ... points Conics through four points . [ See also 295 ] Two parabolas through ...
Side ix
... four fixed lines . [ See also 137 , 270 , and 297 ] Parabola touching the axes of co - ordinates . Confocal conics ... points in the form ± f , ± g , ± h Equation of four lines in the form la ± mß ± ny = 0 282 283 284 Examples 285 ...
... four fixed lines . [ See also 137 , 270 , and 297 ] Parabola touching the axes of co - ordinates . Confocal conics ... points in the form ± f , ± g , ± h Equation of four lines in the form la ± mß ± ny = 0 282 283 284 Examples 285 ...
Side x
... points 295 Conics touching four fixed lines 296 Conics with respect to which the triangle of reference is self ... point circle 299 Pascal's theorem . [ See also 328. ] 299 Brianchon's theorem 301 • AREAL CO - ORDINATES 302 TANGENTIAL CO ...
... points 295 Conics touching four fixed lines 296 Conics with respect to which the triangle of reference is self ... point circle 299 Pascal's theorem . [ See also 328. ] 299 Brianchon's theorem 301 • AREAL CO - ORDINATES 302 TANGENTIAL CO ...
Side xi
... four fixed points are cut by any straight line in pairs of points in involution PAGE 327 329 329 The cross ratio of a pencil of four lines equal to that of the range formed by their poles 329 Anharmonic properties of points on a conic ...
... four fixed points are cut by any straight line in pairs of points in involution PAGE 327 329 329 The cross ratio of a pencil of four lines equal to that of the range formed by their poles 329 Anharmonic properties of points on a conic ...
Side 5
... points : ( i ) ( 1 , − 1 ) and ( − 1 , 1 ) ; ( ii ) ( a , −a ) and ( − b , b ) ; ( iii ) ( 3 , 4 ) and ( -1 , 1 ) ... four points ( 0 , − 1 ) , ( − 2 , 3 ) , ( 6 , 7 ) and ( 8 , 3 ) are the angular points of a rectangle . Ex . 5 ...
... points : ( i ) ( 1 , − 1 ) and ( − 1 , 1 ) ; ( ii ) ( a , −a ) and ( − b , b ) ; ( iii ) ( 3 , 4 ) and ( -1 , 1 ) ... four points ( 0 , − 1 ) , ( − 2 , 3 ) , ( 6 , 7 ) and ( 8 , 3 ) are the angular points of a rectangle . Ex . 5 ...
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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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