How to pronounce “euclidean geometry” in English

And in Euclidean geometry, we can measure the distance along a path.

It's part of Euclidean geometry.

The real thing about Euclidean geometry is not that he derived brand new results because most of his results had already been derived by other people.

Why should the strange laws of non-Euclidean geometry, which were originally conceived of as a thought experiment in the 19th century, turn out to be the exact mathematics

This was the beginning of non-Euclidean geometry, which turns out to be very, very useful for Einstein.

Pythagoras' theorem helps you do it for Euclidean geometry.

So all that quantification was achieved through Euclidean geometry tools, whereas the arithmetic number-based tools

Euclid-- people say you have to learn Euclidean geometry, and look at all these things that were built after Euclid.

This minus sign is obviously different in Minkowskian geometry versus Euclidean geometry.

of indefinite ternary quadratic forms are identical to those of non-Euclidean geometry."

Maybe it's not like a flat tabletop like Euclidean geometry.

Or if you're working on a tabletop or something like that, we have Euclidean geometry.

Well, remember, there's Euclidean geometry.

So analytic geometry treats geometric issues with equations, and Euclidean geometry treats it with illustrations and shapes.

And this led to "Antifragile," where I was explaining that architects always do a better job when they don't use Euclidean geometry,

That discovery introduced a revolution in mathematics, and ultimately led to the field of non-Euclidean geometry, which is the mathematics that underlies general relativity.

This was a first half of the 19th century invention, non-Euclidean geometry.

So Einstein being Einstein undertook to learn what we now call differential geometry, the non-Euclidean geometry of curved spacetimes.

And in fact, Dr. Taimina and her husband David Henderson, who is a great geometer, they indeed do use these models to teach non-Euclidean geometry

Well, it's an alternative to the two kinds of geometries you're already very familiar with-- Euclidean geometry or Euclidean space, and spherical space.

to them, that at the same time as that, they're being taught about non-Euclidean geometry and shown some insight into the mathematics that going to lead