Exercise 6. (Playfair's Axiom) Show that, in R?, through every point p outside a line L there passes one and only one li
-
- Site Admin
- Posts: 899559
- Joined: Mon Aug 02, 2021 8:13 am
Exercise 6. (Playfair's Axiom) Show that, in R?, through every point p outside a line L there passes one and only one li
Exercise 6. (Playfair's Axiom) Show that, in R?, through every point p outside a line L there passes one and only one line parallel to L. The Playfair's Axiom is equivalent to
Exercise 2. Find a formula for the curve which is traced by the motion of a fixed point on a wheel of radius r rolling with constant speed on a flat surface (Hint: Add the formula for a circle to the formula for a line generated by the motion of the center of the wheel. You only need to make sure that the speed of the line correctly matches the speed of the circle).