 | Pierce Morton - 1830 - 584 σελίδες
...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 - 1831 - 106 σελίδες
...appropriated to 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. When... | |
 | 1835 - 684 σελίδες
...rectangular, but if they be oblique, the coefficient of x, in the equation to a straight line, is not the tangent of the angle which the line makes with the axis of л. Let w = the angle between the axes, в = the angle which the line makes with the axis of x ; y... | |
 | Charles Davies - 1836 - 370 σελίδες
...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 - 236 σελίδες
...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 abscissas,... | |
 | William Whewell - 1838 - 212 σελίδες
...Lacroix's Trigonometric, and other similar works. The equation to a straight line is y = ax + b : where o 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... | |
 | Charles Davies - 1838 - 366 σελίδες
...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... | |
 | Matthew O'Brien - 1844 - 210 σελίδες
...+ c, multiply by cos 0, and put с cos 0 = p, it assumes the form у cos 0 - x sin 0 = p. Here 0 is the angle which the line makes with the axis of x ; and, if we draw OQ perpendicular to AB, p = OQ ; for p = с cos 0 = OB cos BOO. = OQ. * This equation may... | |
 | Thomas Tate (mathematical master.) - 1849 - 274 σελίδες
...-- 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 - 1850 - 146 σελίδες
...represents 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 same,... | |
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In this equation n is the tangent of the angle which the line makes with the axis of abscissae, and B is the intercept on this axis from the origin. 
