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" ... the tangent of the angle which the line makes with the axis of abscissae), was lately employed by M. Crova* for the discussion of experiments relating to the degree of constancy possessed by so-called  "
Elements of analytic geometry - Página 57
de Simon Newcomb - 1885 - 356 páginas
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Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 584 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...
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An Elementary Treatise on the Application of the Algebraic Analysis ..., Parte 1

Wesley Stoker Barker Woolhouse - 1831 - 106 páginas
...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...
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Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

1835 - 684 páginas
...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...
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Elements of Analytical Geometry: Embracing the Equations of the Point, the ...

Charles Davies - 1836 - 370 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...
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The Doctrine of Limits with Its Applications: Namely, Conic Sections, the ...

William Whewell - 1838 - 236 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,...
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The doctrine of limits, with its applications

William Whewell - 1838 - 204 páginas
...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 a?, and b is the distance from the origin at which it intersects the axis of y. 31. Let a, a' be the...
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Elements of Analytical Geometry: Embracing the Equations of the Point, the ...

Charles Davies - 1838 - 366 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...
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A Treatise on Plane Co-ordinate Geometry: Or, The Application of ..., Parte 1

Matthew O'Brien - 1844 - 214 páginas
...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...
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The principles of the differential and integral calculus simplified

Thomas Tate (mathematical master.) - 1849 - 274 páginas
...-- 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...
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A Rudimentary Treatise on Analytical Geometry and Conic Sections

James Hann - 1850 - 146 páginas
...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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