 | Charles Davies - 1838 - 366 páginas
...o'x. The condition of its passing through the point of contact, will give whence, But we have found for the tangent of the angle, which the tangent line makes with the transverse axis, Multiplying the members of these equations together, we obtain, , B* By comparing... | |
 | Washington McCartney - 1844 - 392 páginas
...limit, when Q coincides with P the secant line QR becomes a tangent line PR, the angle at R becomes the angle which the tangent line makes with the axis of x, and yy becomes — , the ultimate ratio or differential coeffix — x ax cient. Hence, when PR is a... | |
 | Elias Loomis - 1851 - 296 páginas
...logarithmic spiral, Art. 155, is <=log. r. ™ru j, Whence dt= - , rdt and -r-=M, dr which represents the tangent of the angle which the tangent line makes with the radius vector, Prop. V., Cor. ; that is, the tangent of the angle which the tangent line makes with... | |
 | Charles Davies - 1855 - 330 páginas
...yrrr = tangent PTH = -~- ; that is, the limiting ratio, or first differential coefficient, is equal to the tangent of the angle which the tangent line makes with the axis of abscissas. Of Tangents and Normals. 1 14. Having found the value of dy dx we will now proceed to find... | |
 | John Daniel Runkle - 1859 - 460 páginas
...once simple and general. Et depends merely on differentiating the equation of the curve to find -^ , the tangent of the angle which the tangent line makes with the axis of x, and therefore extends to every curve capable of being expressed by an equation, and whose equation... | |
 | Elias Loomis - 1859 - 320 páginas
...it will be a tangent to the parabola at P. SCHOL. In the equation — represents the trigonometrical tangent of the angle which the tangent line makes with the axis of" the parabola. (54.) DEFINITIONS. A normal is a line drawn perpendicular to a tangent from the point... | |
 | William Smyth - 1859 - 308 páginas
...constant. Let A be this constant ; then To determine A it will be observed that -j- expresses the sine of the angle which the tangent line makes with the axis of abscissas. Let a be the value of x at the point where the tangent is horizontal ; at this point the... | |
 | Charles Davies - 1867 - 362 páginas
...equation b sin eef —p cos ol = 0, gives, and since this value of tang *' is the same as that found in Prop. II, for the tangent of the angle which the tangent...with the axis of X, we conclude, that the new axis Yf is tangent to the parabola at the new origin A! . Scholium 1. Let us now resume the equation, and... | |
 | Gerardus Beekman Docharty - 1865 - 328 páginas
...reciprocal of that which the tangent line makes with the same axis, and also have a contrary sign. But the tangent of the angle which the tangent line makes with the axis of a; is — ; therefore the tanAy gent of the angle which the normal makes with the axis of a; in the... | |
 | 1882 - 452 páginas
...By Lieut. Chaa. A. Stone, U. 8. Naval Aoad., Ann., Md. — Find the equation of the curve in which the tangent of the angle which the tangent line makes with the axis of X, increases proportionally to the length of the curve. 381. By Prof. WP Casey. — To find a point in... | |
| |
MRS^ at a point on the indifference curve we can do so by drawing tangent at the point on the indifference curve and then measuring the slope by estimating the value of the tangent of the angle which the tangent line makes with the X-axis. 
