Euclidean Postulates II
What postulate is more general?
a.- For a point external to a straight line can pass a straight line
and only one straight line.
Or
b.- A triangle can be translated and/or rotated without changing its
sides or its angles.
Ludovicus
.
Relevant Pages
- Re: Triangle with more than 180 degrees-
... straight lines of elliptic geometry and not straight lines of Euclid? ... Of course, elliptic geometry does not negate the original fifth postulate, ...
(sci.math) - Re: Euclids postulates and non-Euclidean geometry
... I am trying to understand the motivation behind non-Euclidean geometry. ... accept the fifth postulate as to accept the first one in one viewpoint. ... intersect the given straight line. ... So when you allow your intuition to wander beyond "flat spaces", ...
(sci.physics) - Re: Can the Lobachevsky plane be embedded into R^3 ?
... Lobachevsky is contradicting Euclid's fifth postulate. ... famous consequence is that the sum of angles in a triangle must be ... that Euclid is considering straight lines in his ... ,,if a line m intersects two lines p, q such that the sum of the ...
(sci.math) - Re: Triangle with more than 180 degrees-
... That is, given the postulate in Euclid's formulation, you can proof my ... To draw a straight line through a given point parallel to a given ... Elliptic geometry is not-euclidian as it negates Proposition 31. ...
(sci.math) - Re: Independence proof of Euclids 5th postulate
... > Google <Euginio Beltrami> ... > He proved the independence of the fifth postulate ... Correct me if I my childhood memory is wrong but didn't a Hungarian ... there can be a whole bundle of different straight lines through the ...
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