 | Pierce Morton - Geometry - 1830 - 584 pages
...Е. Ex. 3. у — x ='0 ; let« =r О Л у = 0, and the line passes through the origin ; also a or the tangent of the angle which the line makes with the axis o( x =: 1, therefore that angle = 45°; hence the straight line drawn through the origin and bisecting... | |
 | Wesley Stoker Barker Woolhouse - Algebra - 1831 - 106 pages
...the former by substituting, (11,) — -fL for m, and — .£ for h . . , . ob 14. Since, (12,) m is the tangent of the angle which the line makes with the axis of x, by calling this angle u, the equation of the line may be expressed thus : y = x tan u -j- h, 15.... | |
 | Mathematics - 1835 - 684 pages
...angle FGA = the angle РАМ: hence tan.FGA = ta It is to be particularly observed that, in calling « the tangent of the angle which the line makes with the axis of x, we understand the angle FGX and not FG x. 34. In the equation y = ax + b, the quantities « and... | |
 | Charles Davies - Geometry, Analytic - 1836 - 370 pages
...coefficient of either variable be made equal to unity, the coefficient of the other variable will be the tangent of the angle which the line makes with the axis of that variable ; and the absolute term will be the distance cut off from the axis of that variable whose... | |
 | William Whewell - Calculus - 1838 - 236 pages
...Lacroiafs Trigonometrie, and other similar works. The equation to a straight line is y = ax + b: where a is the tangent of the angle which the line makes with the axis of x, and 6 is the distance from the origin at which it intersects the axis of y. 31 . Let a, a be the... | |
 | Charles Davies - Geometry, Analytic - 1838 - 366 pages
...coefficient of either variable be made equal to unity, the coefficient of the other variable will be the tangent of the angle which the line makes with the axis of that variable ; and the absolute term will be the distance cut off from the axis of that variable whose... | |
 | William Whewell - 1838 - 204 pages
...y = ax + b : where a is the tangent of the angle which the line makes with the axis of a?, and b is the distance from the origin at which it intersects the axis of y. 31. Let a, a' be the abscissas, ß, ß' the ordinates of the points; then the equation to the required... | |
 | Matthew O'Brien - Geometry, Analytic - 1844 - 214 pages
...divide by В and put - — = m, -= = c, the equation Л Z> assumes the form у = mx + c. Here m is the tangent of the angle which the line makes with the axis of x ; and, since y = с when x = 0, с is the portion cut off from the axis of y. If therefore we take... | |
 | Thomas Tate (mathematical master.) - 1849 - 274 pages
...-- 5- ; m2a2= a*y LI _ .'. A/»w2a2+62= — ; substituting these values, . . . (2) ; where m must be the tangent of the angle which the line makes with the axis ofa;. This form of the equation to the tangent is often convenient in the solution of problems. As... | |
 | James Hann - Conic sections - 1850 - 146 pages
...a straight line passing through the origin, since x = 0, gives y = 0. Now, the coefficient of x is the tangent of the angle which the line makes with the axis of x. Hence, if 9X be the angle which (1) makes with axis, and 62 be the angle which (2) makes with the... | |
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In this equation n is the tangent of the angle which the line makes with the axis of abscissas, and B is the intercept on this axis from the origin. 
