An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side viii
... Condition for a rectangular hyperbola . Examples on Chapter IX CHAPTER X. MISCELLANEOUS PROPOSITIONS . Equation of the tangent at any point of a conic PAGE 184 185 188 189 190 192 Condition that a given straight line may touch a conic ...
... Condition for a rectangular hyperbola . Examples on Chapter IX CHAPTER X. MISCELLANEOUS PROPOSITIONS . Equation of the tangent at any point of a conic PAGE 184 185 188 189 190 192 Condition that a given straight line may touch a conic ...
Side ix
... Condition for a parabola 288 The asymptotes 289 Condition for a rectangular hyperbola 290 The circumscribing circle 290 · The circular points at infinity 291 Conditions for a circle 291 Condition for ellipse , parabola , or hyperbola ...
... Condition for a parabola 288 The asymptotes 289 Condition for a rectangular hyperbola 290 The circumscribing circle 290 · The circular points at infinity 291 Conditions for a circle 291 Condition for ellipse , parabola , or hyperbola ...
Side x
Charles Smith. Condition for ellipse , parabola , or hyperbola Foci Equation of a circumscribing conic Equation of an inscribed conic PAGE 292 293 293 294 Equation of the inscribed circle 294 Conics through four fixed points 295 Conics ...
Charles Smith. Condition for ellipse , parabola , or hyperbola Foci Equation of a circumscribing conic Equation of an inscribed conic PAGE 292 293 293 294 Equation of the inscribed circle 294 Conics through four fixed points 295 Conics ...
Side 18
... conditions , we may take for its equation any one of the general forms . ( i ) y = mx + c , ( iii ) lx + my = 1 , or ( v ) Ax + By + C = 0 . ( ii ) 2 + 1 = 1 , a b - ( iv ) x cos a + y sin a − p = 0 , We have then to determine the ...
... conditions , we may take for its equation any one of the general forms . ( i ) y = mx + c , ( iii ) lx + my = 1 , or ( v ) Ax + By + C = 0 . ( ii ) 2 + 1 = 1 , a b - ( iv ) x cos a + y sin a − p = 0 , We have then to determine the ...
Side 19
... condition that the line has to satisfy . ✓ 24. To find the equation of a straight line which passes through two given points . Take any one of the general forms , for example , y = = mx + c ........ . ( i ) . y " Let the co - ordinates ...
... condition that the line has to satisfy . ✓ 24. To find the equation of a straight line which passes through two given points . Take any one of the general forms , for example , y = = mx + c ........ . ( i ) . y " Let the co - ordinates ...
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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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