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Probably the best known equivalent of Euclid's parallel postulate, contingent on his other postulates, is Playfair's axiom, named after the Scottish mathematician John Playfair, which states:
In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.
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Why does a triangles angles always add up to 180 degrees?
It is a consequence of Euclids's parallel postulate.
What is euclids theory?
need a simple explanation of Euclids theory.
Is Euclid's 5th postulate correct in spherical geometry?
No.
How could drawing a line on a sphere refute Euclids second postulate that a line segment may be extended indefinitely.?
Because it will eventually complete a Circle, like the dachshund that met its end going round a lamp-post.
Who are euclids parents?
eetrgrv
What were euclids favorite areas of mathematics?
geometry
Books written by euclid?
euclids elements
What was euclids major maths discoveries?
geometry
How are euclids discoveries being used today?
Euclidean geometry is the study of points, lines, planes, and other geometric figures. The most prolonged argument over time has been that of the parallel postulate which states: there can only be one line that contains a given point and is parallel to another line.
Title of thirteenth book in euclids elements?
compositions
Whats the oldest plane in the world?
euclids elements
Does euclid 5th postulate imply existence of parallel linesexplain?
Yes by one definition of interior angles - it does !
