Euclid's postulate vs Euclid's postulate says

Both phrases are correct, but they are used in different contexts. 'Euclid's postulate' is a noun phrase referring to a specific mathematical statement, while 'Euclid's postulate says' is a complete sentence where the postulate is being described or quoted. They are not directly comparable as one is a noun phrase and the other is a sentence.

Last updated: March 20, 2024 • 429 views

Euclid's postulate

This phrase is correct as it refers to a specific mathematical statement attributed to Euclid.

This phrase is used to refer to a specific postulate in Euclidean geometry.

Show examples from the web [+]

Euclid's Postulate 5, Hyperbolic Geometry Negative Curvature Postulate 5MORE. Straight lines, Finite length; connect back onto themselves, Infinite length ...
Euclid's postulate. Also found in: Thesaurus. Related to Euclid's postulate: Euclid's fifth axiom. ThesaurusAntonymsRelated WordsSynonymsLegend: Switch to ...
Prove that Euclid's Postulate 5 and Playfair's Postulate are equivalent. That is, assuming “absolute geometry” (Euclid's first four postulates), prove that.
Indeed, Euclid's postulate trivially holds on sphere, because any two "straight" lines on sphere intersect. Playfair's postulate, for the very same reason, trivially ...

Euclid's postulate says

This phrase is correct as it is a complete sentence describing or quoting Euclid's postulate.

This phrase is used when discussing or explaining the content of Euclid's postulate.

Show examples from the web [+]

And, of course, Euclid's postulate says that one point exterior to a straight line can only be incident with a single parallel straight line. Now, we can consider that ...

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Euclid's postulate vs Euclid's postulate says