An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side vii
... POLAR EQUATION OF A CONIC , THE FOCUS BEING 105 112 138 146 162 THE POLE • Examples on Chapter VIII . 166 176 CHAPTER IX . GENERAL EQUATION OF THE SECOND DEGREE , Every curve whose equation is of the second degree is a conic Co ...
... POLAR EQUATION OF A CONIC , THE FOCUS BEING 105 112 138 146 162 THE POLE • Examples on Chapter VIII . 166 176 CHAPTER IX . GENERAL EQUATION OF THE SECOND DEGREE , Every curve whose equation is of the second degree is a conic Co ...
Side viii
... polar of any point with respect to a conic Conjugate points and conjugate lines 194 · 195 A chord of a conic is cut harmonically by a point and its polar 195 Diameters of a conic 196 Condition that two given lines may be parallel to ...
... polar of any point with respect to a conic Conjugate points and conjugate lines 194 · 195 A chord of a conic is cut harmonically by a point and its polar 195 Diameters of a conic 196 Condition that two given lines may be parallel to ...
Side ix
Charles Smith. Diagonals of a quadrilateral are sides of a triangle self - polar with respect to any inscribed conic Centre - locus of conics touching four fixed lines . [ See also 137 , 270 , and 297 ] Parabola touching the axes of co ...
Charles Smith. Diagonals of a quadrilateral are sides of a triangle self - polar with respect to any inscribed conic Centre - locus of conics touching four fixed lines . [ See also 137 , 270 , and 297 ] Parabola touching the axes of co ...
Side x
... polar 297 • • Conics referred to two tangents and the chord of contact 298 The circle with respect to which the triangle of reference is self - polar 298 The nine - point circle 299 Pascal's theorem . [ See also 328. ] 299 Brianchon's ...
... polar 297 • • Conics referred to two tangents and the chord of contact 298 The circle with respect to which the triangle of reference is self - polar 298 The nine - point circle 299 Pascal's theorem . [ See also 328. ] 299 Brianchon's ...
Side 10
... polar equation of a circle whose centre is at the point ( a , a ) and whose radius is c , is c2 = a2 + r2 - 2ar cos ( 0 - a ) ; where r , are the polar co - ordinates of any point on it . 11. To find the area of a triangle having given ...
... polar equation of a circle whose centre is at the point ( a , a ) and whose radius is c , is c2 = a2 + r2 - 2ar cos ( 0 - a ) ; where r , are the polar co - ordinates of any point on it . 11. To find the area of a triangle having given ...
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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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