 | George Hale Puckle - Conic sections - 1870 - 380 pages
...that the equation Ax + By + C + k(A'x+B'y+C')=0 (1) can by varying k be made to represent any straight line passing through the intersection of the lines Ax + By + C =0, A'x + B'y+C' = 0 (2). Let the symbols L and M stand for Ax + By + C and A'x +B'y + C' ; then equations... | |
 | George Albert Wentworth - 1886 - 322 pages
...11) to the intersection of the lines / — 8 = 0 and 3x — 4y = 8. Find the equation of the straight line passing through the intersection of the lines Ax + By + C = 0 and A'x + £'y+C' = 0, and also: 9. Passing through the origin. 10. Drawn parallel to the axis of x. 11. Passing... | |
 | George Albert Wentworth - Geometry, Analytic - 1886 - 262 pages
...to the intersection of the lines 2z + 5y-8 = 0 and Bx — 4y = 8. Find the equation of the straight line passing through the intersection of the lines Ax + By + C = 0 and A'x + B'y ' = 0, and also 9. Passing through the origin. 10. Drawn parallel to the axis of x. 11. Passing through... | |
 | George Albert Wentworth - 1894 - 362 pages
...this value of k in (1), we obtain (AC' -A'C)x+ (BC' -B'C)y = 0. 10. Find the equation of the straight line passing through the intersection of the lines Ax + By + C= 0 and A'x + B'y + C" = 0, and also drawn parallel to the axis of x. By § 51, the required equation may be written in the form... | |
 | William Briggs - 1897 - 286 pages
...of the straight line joining these two points. \ 20. Show that the equation 0 represents a straight line passing through the intersection of the lines Ax + By + C= 0 and A'x+£'y+C' = 0. Also, find what value k must have in order that it may also pass through the origin.... | |
 | George Salmon - Curves, Plane - 1900 - 462 pages
...or, what is the same thing, where k is indeterminate, always passes through a fixed point, namely, the intersection of the lines Ax + By + C= 0, and A'x + B'y + C" = 0. Hence, if the equation of a right line contain an indeterminate quantity in the first degree, the right... | |
 | Raymond Benedict McClenon - Functions - 1918 - 264 pages
...locus of the equation ax + by + c + k (a'x + b'y + c') = 0 is a straight line through the points of intersection of the lines ax + by + c = 0 and a'x + b'y + c' = 0. 19. Prove that the area of the triangle whose vertices are the points that is, iL 1 THE CIRCLE 84.... | |
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I (Ax +By+C) + m (A'x + B'y + C') = 0, the new equation will represent a right line passing through the intersection of the lines Ax + By -\- C= 0 and A'x + B'y + C 