- #1
tronter
- 185
- 1
In the derivation of a cycloid, it says (pg. 655 Stewart, 5th ed) [tex] |OT| = \text{arc} \ PT = r \theta [/tex].
I was just wondering if if this implies that [tex] \text{arc}\ PT [/tex] and the line segment [tex] OT [/tex] are homeomorphisms?
When I first learned about cycloids, I didn't know that homeomorphisms were. But now, having learned about them, it seems that they are in fact homeomorphisms.
I was just wondering if if this implies that [tex] \text{arc}\ PT [/tex] and the line segment [tex] OT [/tex] are homeomorphisms?
When I first learned about cycloids, I didn't know that homeomorphisms were. But now, having learned about them, it seems that they are in fact homeomorphisms.