This solves the problem for functions, but what about curves that connect 2 points and aren't functions? For that type of curves you can't use the same equation for the calculation of the length.
But using the Pythagorean theorem in order to proof that the shortest path between two points is a straight line isn't a circular argument? don't you need that postulate in order to proof Pythagoras' theorem itself?
![The Most Useful Curve in Mathematics [Logarithms]](/img/1.gif)
Thank you so much really detailed explanation...I love it 😁💯💯
This solves the problem for functions, but what about curves that connect 2 points and aren't functions? For that type of curves you can't use the same equation for the calculation of the length.
very nice and concise!!
Please solve for 3D (6.3 problem).
Should constant "c" be different from 1? Why?
Because u can't divide by 0
y'/sqrt(1+(y')^2) is greater than -l and less than 1. Therefore constant "c" can't be 1
There should be c^2
Love from India
But using the Pythagorean theorem in order to proof that the shortest path between two points is a straight line isn't a circular argument? don't you need that postulate in order to proof Pythagoras' theorem itself?