An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Side 14
... represent any straight line whatever . For example , the straight line which cuts the axis of y at unit distance from the origin , and makes an angle of . 45 ° with the axis of x , has for equation y = x + 1 . We see from ( i ) that the ...
... represent any straight line whatever . For example , the straight line which cuts the axis of y at unit distance from the origin , and makes an angle of . 45 ° with the axis of x , has for equation y = x + 1 . We see from ( i ) that the ...
Side 19
... represent any straight line through the point ( x ' , y ' ) . If then we know that a straight line passes through a particular point ( x , y ) we at once write down y - y ' = m ( xx ) for its equation , and find the value of m from ...
... represent any straight line through the point ( x ' , y ' ) . If then we know that a straight line passes through a particular point ( x , y ) we at once write down y - y ' = m ( xx ) for its equation , and find the value of m from ...
Side 31
... represent n straight lines through the origin . Let the equation be · Ay " + By " ́1x + Cy " 2x2 + ... + Kx " = 0 ...... . ( i ) . Divide by " and we get n \ n - 1 A 4 ( 2 ) ( y + B + C x ( 4 ) n - 2 + ... + K = 0 ... ( ii ) . Let m1 ...
... represent n straight lines through the origin . Let the equation be · Ay " + By " ́1x + Cy " 2x2 + ... + Kx " = 0 ...... . ( i ) . Divide by " and we get n \ n - 1 A 4 ( 2 ) ( y + B + C x ( 4 ) n - 2 + ... + K = 0 ... ( ii ) . Let m1 ...
Side 32
... represent two straight lines . The most general form of the equation of the second degree is .... ( i ) . ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 ............ .. If this is identically equivalent to ( lx + my + n ) ( l'x + my + n ' ) = 0 ...
... represent two straight lines . The most general form of the equation of the second degree is .... ( i ) . ax2 + 2hxy + by2 + 2gx + 2fy + c = 0 ............ .. If this is identically equivalent to ( lx + my + n ) ( l'x + my + n ' ) = 0 ...
Side 35
... represent two straight lines ? - Ans . 10 , or - $ 5 . 6. For what value of λ does the equation 12x2 + 36xy + λy2 + 6x + 6y + 3 = 0 X represent two straight lines ? Are the lines real or imaginary ? Ans . 28 . 7. For what value of A ...
... represent two straight lines ? - Ans . 10 , or - $ 5 . 6. For what value of λ does the equation 12x2 + 36xy + λy2 + 6x + 6y + 3 = 0 X represent two straight lines ? Are the lines real or imaginary ? Ans . 28 . 7. For what value of A ...
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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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