 | Elias Loomis - Calculus - 1851 - 296 pages
...are x'=1, y'=4, x"=5, y"—3, and determine the angle which it makes with the axis of abscissas. Ex. 2. Find the equation to the straight line which passes through the two points x'=2, y'=3, and x"=4, y"=5. 30 PROPOSITION V. — THEOREM. (22.) The distance between two... | |
 | Charles Hutton - Mathematics - 1860 - 1020 pages
...8y — 6* + 5=0, j +St=* у* —5л;2 = 0, and y* — 7y + 12 = 0; the axes of co-ordinate« being (2.) Find the equation to the straight line which passes through the t»« [•• • (2, 3) and (4, 5). ABS.J=I-. (3.) Describe the circle whose equation is у* + г?... | |
 | James Fraser (bp. of Manchester.) - 1866 - 480 pages
...DIVISION D. Analytical Geometry. 1. Give all the equations which indicate the position of a straight line. 2. Find the equation to the straight line which passes through the points whose co-ordinates are x'=2, y'—3, and я"=4, у''=5. 3. Prove that the distance between two points... | |
 | James Robert Christie - Mathematics - 1866 - 428 pages
...= 4. 1021. Find the area of the triangle whose angular points are (3; -2), (5; 4)and(-7j 3). 1022. Find the equation to the straight line which passes through the points (5 ; — 7) and (— 1 ; 4). 1023. The equations of the three sides of a triangle are Wx + 5y = 4,... | |
 | Thomas Grenfell Vyvyan - Geometry, Analytic - 1867 - 294 pages
...shall be negative. EXAMPLES. The equation required is у— b x—a a—bb — a,' or x + у = a + b. 2. Find the equation to the straight line which passes through the point (hk) and makes an angle -= with the axis of x. о The equation is evidently If we wish to determine... | |
 | George Hale Puckle - Conic sections - 1887 - 404 pages
...lines whose equations are (1) y = 5x +2, (2) y-7 = 5x + 3, (3) (4) 6-*=2y, (5) |+fj = 2, (6) 2x + 3=0. 2. Find the equation to the straight line which passes...straight lines, each of which bisects two of the sides. r 4. Two straight lines make each of them an angle of 45" with the axis of x, and their intercepts... | |
 | Thomas Grenfell Vyvyan - Geometry - 1894 - 178 pages
...sin ß = p. (vi) я+у=2, х+3у = ±. (vü) -+|= 1^-^=1. Q> OO Oí (viii) y = x + 1, and y= 2a; + 2. 2. Find the equation to the straight line which passes through the intersection of За; + 4y = 7, 4ж — % = 2 and through the origin. 3. Find the equation to the straight... | |
 | Charles Briot, Bouguet (M., Jean Claude) - Geometry, Analytic - 1896 - 598 pages
...THE STRAIGHT LINE. 1. Draw the lines whose equations are (2) y-7 = 5z + 3, (3)7y-3x = 0, - , , o tt 2. Find the equation to the straight line which passes through the points (2, o), and (0, - 7). 3. The co-ordinates of the angular points of a triangle being given, find the equations... | |
 | Sidney Luxton Loney - Coordinates - 1896 - 447 pages
...coordinates must satisfy (1), so that 3-{-4) = a, and therefore a = 7. The required equation is therefore Ex. 2. Find the equation to the straight line which passes through the point (-5, 4) and is such that the portion of it between the axes is divided by the point in the ratio... | |
 | University of St. Andrews - 1903 - 762 pages
...GEOMETRY. 7. Find the area of a triangle, the co-ordinates of whose vertices are given ; and hence find the equation to the straight line which passes through the points (a,b~), (p,q). Determine the area of the triangle whose angular points are a cos a, a sin a ; a cos... | |
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Find the equation to the straight line which passes through the points (2, 5) and (0, - 7). 3. The co-ordinates of the angular points of a triangle being given, find the equations to the three straight lines, each of which bisects two of the sides. 4.... 