Crossword-Solution: EUCLIDIAN 9 letters, 1 clue 🏆 scrabble score: 12

One of these is called NON-EUCLIDIAN, because Euclid's axiom of parallels, which we shall presently explain, is ignored.

One form of the modern non-Euclidian geometry assumes that a similar theorem is true for the space in which our universe is contained.

There are two points of view again, so that point 2 above actually splits in two parts: 2A) Basically the (Euclidian) distance between two points can be measured by a straight line section.

Then, if we accept that inscribed things of ancient origin have been found in the United States; that cannot be attributed to any race indigenous to the western hemisphere; that are not in any language ever heard of in the eastern hemisphere--there's nothing to it but to turn non-Euclidian and try to conceive of a third "hemisphere," or to accept that there has been intercourse between the western hemisphere and some other world.

With my pitiful, earthly, Euclidian understanding, all I know is that there is suffering and that there are none guilty; that cause follows effect, simply and directly; that everything flows and finds its level—but that’s only Euclidian nonsense, I know that, and I can’t consent to live by it! What comfort is it to me that there are none guilty and that cause follows effect simply and directly, and that I know it?—I must have justice, or I will destroy myself.