An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side ix
... Length of perpendicular from a point on a line Co - ordinates of four points in the form ± f , ± g , ± h Equation of four lines in the form la ± mß ± ny = 0 282 283 284 Examples 285 Tangent 286 Condition of tangency . 287 Co - ordinates ...
... Length of perpendicular from a point on a line Co - ordinates of four points in the form ± f , ± g , ± h Equation of four lines in the form la ± mß ± ny = 0 282 283 284 Examples 285 Tangent 286 Condition of tangency . 287 Co - ordinates ...
Side 1
... lengths of the lines PM , PL are given . For we have only to take OL , OM equal respectively to the known lines PM , PL and complete the parallelogram LOMP . The lengths MP and LP , or OL and OM , which thus define the position of the ...
... lengths of the lines PM , PL are given . For we have only to take OL , OM equal respectively to the known lines PM , PL and complete the parallelogram LOMP . The lengths MP and LP , or OL and OM , which thus define the position of the ...
Side 2
... lengths of the lines OL , LP , we must also know the directions in which they are measured . If lines measured in one direction be taken as positive , lines measured in the opposite direction must be taken as negative . We shall ...
... lengths of the lines OL , LP , we must also know the directions in which they are measured . If lines measured in one direction be taken as positive , lines measured in the opposite direction must be taken as negative . We shall ...
Side 5
... lengths of the lines joining the following pairs of points : ( i ) ( 1 , − 1 ) and ( − 1 , 1 ) ; ( ii ) ( a , −a ) and ( − b , b ) ; ( iii ) ( 3 , 4 ) and ( -1 , 1 ) . - - Ex . 3. Shew that the three points ( 1 , 1 ) , ( − 1 , − 1 ) ...
... lengths of the lines joining the following pairs of points : ( i ) ( 1 , − 1 ) and ( − 1 , 1 ) ; ( ii ) ( a , −a ) and ( − b , b ) ; ( iii ) ( 3 , 4 ) and ( -1 , 1 ) . - - Ex . 3. Shew that the three points ( 1 , 1 ) , ( − 1 , − 1 ) ...
Side 9
... of any point P will be known , if the angle XOP and the distance OP be given . r X These are called the polar co - ordinates of the point P. The length OP is called the radius vector , and is usually denoted by r , and the angle XOP is.
... of any point P will be known , if the angle XOP and the distance OP be given . r X These are called the polar co - ordinates of the point P. The length OP is called the radius vector , and is usually denoted by r , and the angle XOP is.
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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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