4 ms·
That doesn't explain why. Why is it that if tangents approach the circle (whatever that means precisely) that the length of the approximation approaches the len
by jules 16y ago
That doesn't explain why. Why is it that if tangents approach the circle (whatever that means precisely) that the length of the approximation approaches the length of the circle?
- caf 16y agoLoosely speaking, the total path length is defined as the sum of a bunch of infintesimal segments that have both position and direction. For the sum (integral) of those infintesimals to approach the sum of the similar infintisemals around the actual circle, those of the approximation path have to approach those of the circle in the limit, and of course this means in both position and direction.