 | Michel Chasles - Cone - 1837 - 564 pages
.... Hence when the point of contact is at an infinite distance, the tangent passes through the center and makes with the axis of x an angle whose tangent is - ; ie it coincides with the diagonal CW of the rectangle constructed with the semi-axes. This line... | |
 | John Hymers - Conic sections - 1837 - 486 pages
.... Hence when the point of contact is at an infinite distance, the tangent passes through the center and makes with the axis of x an angle whose tangent is - ; ie it coincides with the diagonal a С W of the rectangle constructed with the semi-axes. This... | |
 | George Salmon - Conic sections - 1852 - 338 pages
...point on the tangent,> and y those of its point of contact, the equation of the tangent is where -^- is to be found from the equation of the curve ; for...the tangent passes through the point xy, and makes an angle with the axis of x, whose tangent = -—- (Art. 39). The normal, then, being (tx a perpendicular... | |
 | George Salmon - Conic sections - 1852 - 329 pages
...tangent, x and y those of its point of contact, the equation of the tangent is = (/3 cij where -—• is to be found from the equation of the curve ; for the CLOG tangent passes through the point xy, and makes an angle with the axis of#, whose tangent = -~... | |
 | Mathematics - 1875 - 420 pages
...ux + (v + ru)y = 0 ................... (n), denoting a straight line which passes through the origin and makes with the axis of x an angle whose tangent is - r. - - . v + ru The origin being, as we have seen, excepted, the other extremity of the chord (of... | |
 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...those of its point of contact, the equation of the tangent is £ - y = -j- (a - x) ; where -j- , which we shall call for shortness p, is to be found from...perpendicular to this at the point xy} has for its equation («-*)+!> OS-y) = 0 ................... (1). We have now to find the envelope of this line which contains... | |
 | George Salmon - Curves, Algebraic - 1879 - 424 pages
...of its point of contact, the equation of the tangent is /3 — y = -j- (a - x) ; where -j- , which we shall call for shortness p, is to be found from...normal then being a perpendicular to this at the point a:?/, has for its equation (a-*)+j»G8-y) = 0 ................... (1). We have now to find the envelope... | |
 | Joseph Edwards - Mathematics - 1892 - 550 pages
...any point on the tangent; for the line represented by this equation goes through the point (x, y), and makes with the axis of x an angle whose tangent is m. EXAMPLES. Find the equation of the tangent at the point (x, y) en each of the following curves :... | |
 | Joseph Edwards - Differential calculus - 1896 - 288 pages
...any point on the tangent ; for the line represented by this equation goes through the point (x, y), and makes with the axis of x an angle whose tangent is m. 19. DEF. — DIFFERENTIAL COEFFICIENT. Let ф(х) denote any function of x, and ф (x + h) the ,... | |
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... we shall call for shortness p, is to be found from the equation of the curve. For the tangent passes through the point xy, and makes with the axis of x an angle whose tangent is p (Art. 38). The normal then being a perpendicular to this at the point... 