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Livros Livros 21 - 30 de 87 sobre In this equation n is the tangent of the angle which the line makes with the axis....
" 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. "
A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ... - Página 25
de Isaac Todhunter - 1862 - 326 páginas
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An easy introduction to the higher treatises on the conic sections. [With] Key

John Hunter (of Uxbridge.) - 1866
...hence by substitution 2/7 2a TO 2 TO y=mx+— ; m •which is the equation to the tangent in terms of the tangent of the angle which the line makes with the axis of the parabola. 80. To find the equation to the normal at any point on a parabola. Let (x', 2/') be the...
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An easy introduction to the higher treatises on the conic sections. [With] Key

John Hunter (of Uxbridge.) - 1866
...radius =2a=DS. 9. Let 7/2=4aa; be the equation to the parabola. The equation to the tangent, in terms of the tangent of the angle which the line makes with the axis, is y'=mx' + — , or m2— ¥-, m+ — , =0 : m o> of solving this quadratic, we obtain bat a;'= ^-—...
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AN INTRODUCTION TO ANALYTICAL PLANE GEOMETRY

W. P. TURNBULL, M.A. - 1867
...—, maybe written y = —- x 4- —, or, if —7 be denoted by m, V y 2a' y 1 J ym — — (1} Here m is the tangent of the angle which the line makes with the axis of x. Conversely any line whose equation is of the form y — x tan 0 + a cot #, touches the parabola y*...
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An Introduction to Analytical Plane Geometry

W. P. Turnbull - 1867 - 272 páginas
...y' -e 2a . , . , , y= — x+ ^~ , or, it —7 be denoted by m, y 2a y y = mx-\ — ••(!)• Here m is the tangent of the angle which the line makes with the axis of x. Conversely any line whose equation is of the form y = x tan 6 + a cot 0, touches the parabola y' =...
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A Treatise on Analytic Geometry: Especially as Applied to the Properties of ...

George Holmes Howison, Joseph Ray - 1869 - 574 páginas
...conveniently written y — II' X — X' 7 . where s and c are abbreviations for the sine and cosine of the angle which the line makes with the axis of x. 1O2. Geometric meaning of the ratio /.—If, in the annexed diagram, P' denote the fixed point x'y',...
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A General Geometry and Calculus

Edward Olney - 1870 - 152 páginas
...after reduction, y = ax -\- b, which is the common equation of the straight line. In this equation a is the tangent of the angle which the line makes with the axis of abscissas, and b the distance from the origin to where the line intersects the axis of ordinates. SCH....
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A General Geometry and Calculus: Including Book I. of the General Geometry ...

Edward Olney - 1871 - 356 páginas
...coefficient — '-— as obtained in the several x — x c«ses in Ex. 4, 10, and 1. But this coefficient is the tangent of the angle which the line makes with the axis of x (31, COB. 1). , Ex. 1. What angle does a tangent to ya = Bx make with the axis of x, when the point...
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Elements of Analytical Geometry, and of the Differential and Integral Calculus

Gerardus Beekman Docharty - 1865 - 306 páginas
...co-efficient we have divided the equation. Illustration. If 3y=6x— 9, then y — 2x— 3. Here 2 is the tangent of the angle which the line makes with the axis of a;, and —3 is the distance from the origin to the point where the line cuts the axis of y. Or, solving...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1877
...expression for the length of the portion of the line which is intercepted between the two curves in terms of the angle which the line makes with the axis of x. 24. Prove that in order to find the differential co-efficient of a defi::::e integral with respect...
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An Elementary Manual of Coordinate Geometry and Conic Sections

Rev. James White - 1878 - 148 páginas
...ratio to each, other. Also, it is evident that m = -'-, which in rectangular 33 . axes = tan XOP, ie = tangent of the angle which the line makes with the axis of x. When a line does not pass through the origin, its equation can be found thus :—Draw through the origin...
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