- #1

- 235

- 1

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter Pjpic
- Start date

- #1

- 235

- 1

- #2

HallsofIvy

Science Advisor

Homework Helper

- 41,847

- 965

- #3

- 235

- 1

Does this have something to do with it being "intrinsic"?

- #4

mathwonk

Science Advisor

Homework Helper

2020 Award

- 11,184

- 1,382

if you want to prove such examples exist, it depends what your standards of belief are. if you are someone who believes only in euclidean space, then for you it is necessary to find every other example embedded there.

it is quite consistent to imagine spherical or hyperbolic geometries, where triangles add to other than a straight angle, but to produce examples of them, we often look in euclidean space of higher dimension.

i think Halls meant that for a triangle with angle sum more than a straight angle, we probably look in a spherical geometry, and for less, in a hyperbolic geometry.

- #5

HallsofIvy

Science Advisor

Homework Helper

- 41,847

- 965

Share: