An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side 8
... equation of the curve . Conversely all points whose co - ordinates satisfy a given algebraical equation lie on a ... find the equation which is satisfied by the co - ordinates of all the points on a curve which has been defined by some ...
... equation of the curve . Conversely all points whose co - ordinates satisfy a given algebraical equation lie on a ... find the equation which is satisfied by the co - ordinates of all the points on a curve which has been defined by some ...
Side 9
... find the equation of its locus . - Ans . x - 3y = 1 . Ex . 2. A point moves so that the sum of the squares of its distances from the two fixed points ( a , 0 ) and ( −a , 0 ) is constant ( 2c2 ) ; find the equation of its locus . Ans ...
... find the equation of its locus . - Ans . x - 3y = 1 . Ex . 2. A point moves so that the sum of the squares of its distances from the two fixed points ( a , 0 ) and ( −a , 0 ) is constant ( 2c2 ) ; find the equation of its locus . Ans ...
Side 12
... equation of the line . Similarly a is the equation of a straight line parallel to the axis of y and at a distance a from it . 14. To find the equation of a straight line which passes through the origin . Let OP be a straight line ...
... equation of the line . Similarly a is the equation of a straight line parallel to the axis of y and at a distance a from it . 14. To find the equation of a straight line which passes through the origin . Let OP be a straight line ...
Side 15
... equation found in Art . 15 only involves two . But if the co - ordinates x , y of any point satisfy the equation Ax ... find the equation of a straight line in terms of the intercepts which it makes on the axes . Let A , B be the points ...
... equation found in Art . 15 only involves two . But if the co - ordinates x , y of any point satisfy the equation Ax ... find the equation of a straight line in terms of the intercepts which it makes on the axes . Let A , B be the points ...
Side 16
... find the equation of a straight line in terms of the length of the perpendicular upon it from the origin and the angle which that perpendicular makes with an axis , Let OL be the perpendicular upon the straight line AB , and let OL = p ...
... find the equation of a straight line in terms of the length of the perpendicular upon it from the origin and the angle which that perpendicular makes with an axis , Let OL be the perpendicular upon the straight line AB , and let OL = p ...
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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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