The Thirteen Books of Euclid's Elements¶
Euclid. The Thirteen Books of Euclid's Elements.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Axiom
- Mathematics and logic — set theory, the field and group axioms, the postulates of arithmetic, and the axiomatic method itself as the foundational discipline.
This sourceTranslated by Thomas L. Heath. 2nd ed. Cambridge: Cambridge University Press, 1925 (orig. c. 300 BCE). The foundational axiomatic system: five postulates and common notions from which plane geometry is derived, including the parallel postulate that resisted two millennia of attempts at derivation from the other four.
Supported in partVerified against the work's full text
Heath's Euclid supports the axiomatic method in geometry (axioms and postulates as underived starting points) but not set theory, field/group axioms or arithmetic postulates.
“a geometer must lay down as principles, first certain axicMns or common notions^ and then an irreducible mimm$tm of postulates”
- Mathematics and logic — set theory, the field and group axioms, the postulates of arithmetic, and the axiomatic method itself as the foundational discipline.
Verification¶
Does it exist? Not checked yet. This entry carries no identifier to resolve. It was extracted from the citation as written in the article, normalized, and deduplicated against the rest of the registry.
Does it back the claim? Read against the text for 1 of 1 citation: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Registry ID ref:11c040d46559 · see in the full table