2/24 it said an involute curve is like unwinding a spool of thread … >>>> >>> so if unwinding thread, basically the length of your line is equal to the >> arc length it was unwound from. >> >> we could describe that as a function of the angle of unwinding. for each >> point on the circumference, there’d be an associated line length. >> > - (point on circumference) + (vector of tangent) * arclength >> function of angle >> > > r = radius of spool > t = time/theta >
x(t) = r * (cos(t) + t * sin(t)) > y(t) = r * (sin(t) - t * cos(t)) > p(t) = r * (exp(i t) - i t * exp(i t)) > > > parametric plot (cos(t) + t * sin(t)), (sin(t) - t * cos(t)), t=0..2pi/2 > yayyy involute curve yayy >
