(5) Eliminate the constants m and a from (6) Eliminate m and a from the equation (8) Eliminate a and ẞ from the equation. Substituting these values of yẞ and x-a, we have + in which a and ẞ no longer appear. This is the expression for the square of the radius of curvature of any curve. (9) Eliminate m from the equation (a + mẞ) (x2 - my3) = my2; (10) Eliminate a, b, c from the equation ≈ = ax + by + c, y being a function of a. Differentiating two and three times with respect to x, This is the condition that a curve in three dimensions and differentiating, dy = 1 − y2. Differentiating again and eliminating cot na by the last equation, we have (15) Eliminate the arbitrary function from the equation |