 | X. Y. Z. - Equations - 1843 - 124 pages
...Line at a given Angle 47 3. To find the Equation to a Line passing through two given points .... 48 4. To find the Co-ordinates of the point of intersection of two given Lines - - - - 49 5. To find the perpendicular from a given point on a given Line .... u>. Examples... | |
 | Isaac Todhunter - Geometry - 1855 - 332 pages
...indefinite number of straight lines can be drawn parallel to a given straight line. 39. To determine the co-ordinates of the point of intersection of two given straight lines. Let the equation to one line be y = m,x + cl ........................ (1), and the equation to the other y... | |
 | Isaac Todhunter - Conic sections - 1858 - 334 pages
...indefinite number of straight lines can be drawn parallel to a given straight line. 39. To determine the co-ordinates of the point of intersection of two given straight lines. Let the equation to one line be y = m,x + c, ...................... (1), and the equation to the other ......................... | |
 | W. P. Turnbull - Geometry, Analytic - 1867 - 276 pages
...i a % & k = -J = -s = &c. & 1 & 2 so that &^ , & 2 /fc... may be substituted for a l, a a .... 33. To. find the co-ordinates of the point of intersection of two given lines Let Pbe the point of intersection. Then the Ax -\-By-\- O of P= 0, because P is on the line (1),... | |
 | Thomas Grenfell Vyvyan - Geometry, Analytic - 1867 - 294 pages
...line represented by either of them. 38. To find the equation of a straigM line which passestftrough the point of intersection of two given straight lines. Let the equations to the two straight lines be A}x + BJJ + С = 0 ................ (1), Aje+Bjf + Ct = Q ................... | |
 | Charles Smith - Conic sections - 1883 - 388 pages
...0) and (2, £}) are in the four different compartments made by the two straight lines 2x-3y+l = 27. To find the co-ordinates of the point of intersection...two given straight lines. Let the equations of the lines be ax + by + c = 0 .................. (i), and a'x + b'y + c' = 0 .................. (ii). We... | |
 | Charles Smith - Conic sections - 1883 - 452 pages
...and (2, 4£) are in the four different compartments made by the two straight lines *27. To find tlie co-ordinates of the point of intersection of two given straight lines. Let the equations of the lines be ax +by + c = 0 .................. (i), and ax + b'y + c = 0 .................. (ii). Then... | |
 | John Daniel Runkle - Geometry, Analytic - 1888 - 370 pages
...perpendicular to AB, and their equations reduce to . , m + cosw as found in Art. 50. Intersection of Lines. 52. To find the coordinates of the point of intersection...given straight lines. Let the equations of the two given lines be Ax+By + C=0, A'x+B'y + (7=0. Let (x'y') be the point in which these lines intersect... | |
 | Sidney Luxton Loney - Coordinates - 1896 - 447 pages
...distance from the origin of the perpendicular from the point (1, 2) upon the straight line 4=0. 77. To find the coordinates of the point of intersection...lines. Let the equations of the two straight lines be a-flc + bffl + c1 = 0 .................. (1), and a^x + % + c2 = 0 .................. (2), and let... | |
 | William Meath Baker - Conic sections - 1906 - 363 pages
...points ( \ ( \ ' y ~ yl _ x ~ xi Either of the methods of Arts. 28, 29 may be used to prove this. 68. To find the co-ordinates of the point of intersection of two given straight lines. The method of Art. 23 holds good for oblique axes. 69. To find the angle between the straight lines... | |
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To find the co-ordinates of the point of intersection of two given straight lines. Let the equations of the lines be ax + by +c = 0 (i), and a'x + b'y + c 
