| Pierce Morton - 1830 - 272 páginas
...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 B. Woolhouse - 1831
...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
...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 - 352 páginas
...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 - 172 páginas
...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 - 172 páginas
...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 - 352 páginas
...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 - 180 páginas
...+ 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
...-- 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 - 128 páginas
...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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