 | Elias Loomis - Calculus - 1851 - 300 pages
...line cuts the axis of X to the left of the origin, and the axis of Y below it, then both a and b Y •will be negative, so that the equation becomes...y=ax, which is the equation of a straight line passing throu h the origin. Ex. 1. Let it be required to draw the line whose equation is If in this equation... | |
 | Elias Loomis - Calculus - 1851 - 296 pages
...therefore, the rl — ^^ — — X equation is y=— ax+b. •X' the axis of Y below it, then both a and b Y •will be negative, so that the equation becomes...y=—ax—b. If we suppose the straight line to pass -X B X through the origin A, then b will be equal to zero, and the general equation becomes y=ax, which... | |
 | Elias Loomis - Calculus - 1856 - 300 pages
...the line cuts the axis of X to the left of the origin, and the axis of Y below it, then both a and b will be negative, so that the equation becomes y=—ax—b....it be required to draw the line whose equation is If in this equation we make x=0, the value of y will designate the point in which the line intersects... | |
 | Herman Haupt - Bridges - 1856 - 312 pages
...— u — op. Substitute the value of u and reduce: the exwww ...... pression j- u + -^ becomes -jx which is the equation of a straight line passing through the origin O. It follows therefore that the vertical strains are exactly proportional to the distance from the... | |
 | Engineering - 1908 - 984 pages
...resistance and substituting in equation 4 we have: kV + kV r - = R re kV (1 + re) = R (Equation 4a) which is the equation of a straight line passing through the origin and intersecting the locus of equation 4 at the point V = cre. As the armature of the generator is... | |
 | Halsey Dunwoody - Graphic statics - 1917 - 384 pages
...^) -2rlX cos 5(^) =n2 sin2 5-n2 sin2 S(^ which may be written This is the equation of an ellipse. i which is the equation of a straight line passing through the origin and making an angle tan-M— ) with X. Vi/ x2 w2 If 5 = 1(2*-), —2+^ = l, the equation of an ellipse... | |
 | Halsey Dunwoody - Graphic statics - 1917 - 390 pages
...^) =n2 sin2 «-n2 sin2 «(§ which may be written This is the equation of an ellipse. , \ri r) n r' which is the equation of a straight line passing through the origin and making an angle tan-i^ — J with X. X2 jS lying in X and Y. If in addition r=n, x2+i/2 = r2, and... | |
 | J. D. Ghosh - Mathematics - 2008 - 962 pages
...range coincide with each other, ie, D(f) = R(f) in case of identity function. Letv=/W=* .-. у = x which is the equation of a straight line passing through the origin and making an angle of 45° with the x-axis, ie, an identity function represents straight lines passing... | |
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Y below it, then both a and b will be negative, so that the equation becomes y=—ax—b. If we suppose the straight line to pass through the origin A, then b will be equal to zero, and the general equation becomes y—ax, which is the equation of a straight... 