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the claim

Two distinct points always determine a unique line.

the verdict
SUPPORTED
the evidence backs this
Recorded sources
6 sources for · 0 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that two distinct points always determine a unique line?

Yes. Multiple geometry textbooks and a mathematics reference state that two distinct points determine exactly one line, matching the claim directly.

Verdict: SUPPORTED · 6 sources for, 0 against · Last checked

The private library was unavailable for some searches in this check. Missing library results are not evidence against the claim.

Evidence for · 6
How to prove that through two distinct points, there passes ...
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How to prove that through two distinct points, there passes.... (n.d.). math.stackexchange.com. https://math.stackexchange.com/questions/2129732/how-to-prove-that-through-two-distinct-points-there-passes-a-unique-line

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More for · 5
Elementary topology : a combinatorial and algebraic approach
1967
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W, B. D. (1967). Elementary topology : a combinatorial and algebraic approach. archive.org. https://archive.org/details/elementarytopolo0000blac

Secordary School Mathematics For Classix
2011
Get citation
Secordary School Mathematics For Classix. (2011). archive.org. https://archive.org/details/secordaryschoolm0000unse

Elementary Topology
2014
Get citation
Blackett, D. W. (2014). Elementary Topology. play.google.com. https://play.google.com/store/books/details?id=YMTiBQAAQBAJ&source=gbs_api

Preface Two Given Points, Infinite Straight Lines
2025
Get citation
Bombardieri, L. (2025). Preface
 Two Given Points, Infinite Straight Lines. doi.org. https://doi.org/10.30687/978-88-6969-857-6/000

Desargues’ Theorem
1914
Get citation
Desargues’ Theorem. (1914). doi.org. https://doi.org/10.2307/3602666

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