 | Elias Loomis - 1851 - 300 páginas
...equation of a straight line passing through a given point, Art. 18, is y—y'=a(x—x')t where a denotes the tangent of the angle which the line makes with the axis of abscissas. But we have found, Art. 201, that the first differential coefficient -7- is equal to the... | |
 | Albert Ensign Church - 1851 - 318 páginas
...line ; and if it be solved with reference to either variable, the coefficient of the other 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, by the line, on the axis of that... | |
 | Royal Military Academy, Woolwich - 1853 - 476 páginas
...of a straight line is of the first degree (Art. 10), and contains two constants a and b ; the former is the tangent of the angle which the line makes with the axis of x, that is, the angle formed by the part of the line above the axis of a;, and the axis of x itself taken... | |
 | Albert Ensign Church - 1854 - 322 páginas
...cos a or denoting tang a by a y = ax + !' (1). in which, it should be remembered, that. a represents the tangent of the angle which the line makes with the axis of abscissas, and b the distance from the origin to the point, in which the line cuts the axis of ordinates.... | |
 | Charles Davies, William Guy Peck - 1855 - 628 páginas
...is not solved. The most ordinary form of the equation of a straight line is у = ax + b, in which a is the tangent of the angle which the line makes with the axis of A", and b the distance from the origin to the point in which it cuts the axis of Y. The equation of... | |
 | Isaac Todhunter - 1855 - 376 páginas
...equation to the normal at (a/, y'). 135. The equation to the normal may also be expressed in terms of the tangent of the angle which the line makes with the axis of the curve. For the equation to the normal is or y = — — Let —±L=m; .'. y' = — 2am ; thus (1)... | |
 | William Smyth - 1859 - 308 páginas
...curve, we must have (An. Geom . art. 26) y' — y = a(x' — x), in which a is the trigonometrical tangent of the angle which the line makes with the axis of x. And in order next that the line may be tangent to the point x, y, we must have, as we have seen, art. 34,... | |
 | Elias Loomis - 1859 - 320 páginas
...rectangular axes is y=ax+b; where x and y are the co-ordinates of any point of the line, a represents the tangent of the angle which the line makes with the axis of abscissas, and b the distance from the origin at which it intersects the axis of ordinates. Also, a... | |
 | Isaac Todhunter - 1862 - 376 páginas
...represent some straight line. Also the equation is obviously satisfied by the values x=x,} y — y^, that is, the line which the equation represents does...straight line which passes through the assigned point. EQUATION tO A STRAIGHT LINE ON MX The geometrical meaning of equation (3) is obvious. For let AB be... | |
 | Albert Ensign Church - 1862 - 312 páginas
...cc or denoting tang a by a y = ax + b...: (1), in which, it should be remembered, that a represents the tangent of the angle which the line makes with the axis o^ abscissas, and b the distance from the origin to the point, in which the line cuts the axis of ordinates.... | |
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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. 
