An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side 32
... imaginary , but pass through the real point ( 0 , 0 ) . The lines given by the equation Ax2 + 2Bxy + Cy2 = 0 , will be at right angles to one another if A + Č = 0 ; that is , if the sum of the coefficients of x2 and y2 is zero . 37. To ...
... imaginary , but pass through the real point ( 0 , 0 ) . The lines given by the equation Ax2 + 2Bxy + Cy2 = 0 , will be at right angles to one another if A + Č = 0 ; that is , if the sum of the coefficients of x2 and y2 is zero . 37. To ...
Side 35
... imaginary ? Ans . 28 . 7. For what value of A does the equation Xxy + 5x + 3y + 2 = 0 represent two straight lines ? Ans . λ = 1 . 8. Shew that the lines joining the origin to the points common to 3x2 + 5xу - 3y2 + 2x + 3y = 0 and 3x ...
... imaginary ? Ans . 28 . 7. For what value of A does the equation Xxy + 5x + 3y + 2 = 0 represent two straight lines ? Ans . λ = 1 . 8. Shew that the lines joining the origin to the points common to 3x2 + 5xу - 3y2 + 2x + 3y = 0 and 3x ...
Side 66
... imaginary points - imaginary points being those one or both of whose co - ordinates are imaginary . It is impossible to represent geometrically the two imaginary points of intersection of a straight line and a circle : we shall find ...
... imaginary points - imaginary points being those one or both of whose co - ordinates are imaginary . It is impossible to represent geometrically the two imaginary points of intersection of a straight line and a circle : we shall find ...
Side 67
... imaginary , but their sum is still zero , and therefore the middle point of the chord is still on the axis of y . The locus of the middle points of parallel chords of a circle is therefore the straight line through the centre which is ...
... imaginary , but their sum is still zero , and therefore the middle point of the chord is still on the axis of y . The locus of the middle points of parallel chords of a circle is therefore the straight line through the centre which is ...
Side 68
... imaginary if the point be within the circle . Let the equation of the circle be x2 + y2 = a2 , and let h , k be the co - ordinates of any point . Let x ' , y ' be the co - ordinates of any point on the circle , then the equation of the ...
... imaginary if the point be within the circle . Let the equation of the circle be x2 + y2 = a2 , and let h , k be the co - ordinates of any point . Let x ' , y ' be the co - ordinates of any point on the circle , then the equation of the ...
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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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