# Elements

Euclid's Elements, one page per proposition, every citation a link. Open the
graph view and you are looking at the dependency graph of the whole work:
465 propositions across 13 books, and the 59 proofs that lean on X.11.

Text: Thomas Heath's 1908 translation, from the [Perseus Digital Library](https://scaife.perseus.org/reader/urn:cts:greekLit:tlg1799.tlg001.perseus-eng2:1.prop.1/), under [CC-BY-SA 4.0](https://creativecommons.org/licenses/by-sa/4.0/). Heath's commentary is not included.

| Book | Propositions | Definitions | Postulates | Common notions |
| --- | --- | --- | --- | --- |
| I | 48 | 23 | 5 | 5 |
| II | 14 | 2 |  |  |
| III | 37 | 11 |  |  |
| IV | 16 | 7 |  |  |
| V | 25 | 18 |  |  |
| VI | 33 | 5 |  |  |
| VII | 39 | 22 |  |  |
| VIII | 27 |  |  |  |
| IX | 36 |  |  |  |
| X | 115 | 16 |  |  |
| XI | 39 | 28 |  |  |
| XII | 18 |  |  |  |
| XIII | 18 |  |  |  |
| Total | 465 | 132 | 5 | 5 |

## Most used

- [[book-10/proposition-11|X.11]]: 59 proofs
- [[book-6/proposition-1|VI.1]]: 52 proofs
- [[book-1/proposition-4|I.4]]: 39 proofs
- [[book-5/proposition-11|V.11]]: 39 proofs
- [[book-10/proposition-13|X.13]]: 33 proofs
- [[book-10/proposition-6|X.6]]: 31 proofs
- [[book-10/proposition-73|X.73]]: 28 proofs
- [[book-10/proposition-22|X.22]]: 27 proofs
- [[book-1/proposition-31|I.31]]: 24 proofs
- [[book-1/proposition-34|I.34]]: 24 proofs

## How it was made

`node scripts/euclid.mjs` reads Perseus' TEI, drops Heath's notes and the
empty figure placeholders, and writes this folder: one page per proposition
with its enunciation and its proof. A page states facts and counts nothing:
who cites a proposition is a backlink, and [[Propositions.base]] computes
uses, used by and the citation counts over the vault itself.