Falsafa

Comma for either/or — dharma, courage. Spelling forgiving — corage finds courage.

    Euclid · the atlas

    The library of Euclid

    Across all 1 work of Euclid’s in the library, the harvest finds 17 named sources — 421 citations in all. The library holds 3 of them; the rest are the corpus’s wanted list. In the other direction, 2 works in the library quote Euclid back — 407 citations.

    most drawn on Euclid · Elements · De Communibus Notitiis adversus Stoicos

    arrangedthe librarycited by

    369 authority 6 neutral 45 extended 1 endorsed

    the sources most drawn on

    3 of 17

    1. Euclid 354 authority 1 neutral 42 extended 397 citations

      Elements
      book 1 · book 2 · book 3 · book 5 · book 6 · book 7 · book 8 · book 9 · and 4 more chapters
      397
      For since, as A is to B, so is C to D, therefore, alternately, as A is to C, so is B to D.
      Elements · book 10 · invoked as prior authority for proportion theory used in the proofs

    2. Elements Euclid 9 authority 9 citations

      Elements
      book 4 · book 9
      9
      and therefore its three angles EGD, GDE, DEG are equal to one another, inasmuch as, in isosceles triangles, the angles at the base are equal to one another.
      Elements · book 4 · invokes an earlier proposition (Book III) as authority for a construction step

    3. De Communibus Notitiis adversus Stoicos Plutarch 1 neutral 1 citation

      Elements
      book 12
      1
      Stoicos XXXIX 3) about Democritus above referred to.
      Elements · book 12 · cited as the source reporting Democritus's argument

    named once

    14 sources · 1 work

    Each of these stands at a single passage, named once and not held by the library. The work that names it carries the anchor.

    Elements
    Book XIV (supplement to the Elements) · Commentary on Aristotle's Physics · Comparison of the dodecahedron with the icosahedron (second edition) · Comparison of the five regular solids (Comparison of the five figures) · Geschichte der Mathematik · Greek Geometry from Thales to Euclid · History of Geometry · Method (Ephodos, addressed to Eratosthenes) · Metrica · On the Sphere and Cylinder · Quadrature of the Parabola · Suda (Suidas lexicon entry on Theaetetus) · scholium No. I to Eucl. XIII · unspecified work (p. 171)

    cited by

    407 citations · from 2 works

    2 works in the library quote Euclid — 407 citations, each anchored to a verbatim passage in the work that does the quoting.

    through Euclid 398 · Elements 9

    by the citing author

    Euclid 406 · Salīm al-Jazāʼirī 1

    The harvest records where a citation is made: the paragraph in the citing book, and the chapter that paragraph stands in. It does not record which page of Euclid is meant. Where the citing text names a locus, you will find it in the quotation.

    1. Elements Euclid 363 authority 1 neutral 42 extended 406 citations · 1,400 passages

      book 1 133 · book 2 48 · book 3 48 · book 4 42 · book 5 13 · book 6 132 · book 7 97 · book 8 23
      and 5 more chapters
      book 9 84 · book 10 446 · book 11 149 · book 12 106 · book 13 79

      Book V's general theory of proportion is invoked by proposition number far more than any other source, forming the logical backbone that licenses moves like alternation, ex aequali reasoning, and equality of ratios throughout the window.

      Now since, as BC is to EF, so is EF to BG, and, if three straight lines be proportional, the first has to the third a ratio duplicate of that which it has to the second, [ V.
      book 6

    2. Kitāb mīzān al-ḥaqq fī al-manṭiq Salīm al-Jazāʼirī 1 authority 1 citation

      introduction

      A named work by a named author invoked to explain the order of the discipline

      and that he was awakened to its composition and its arrangement by his study of the book of Uqlīdis on geometry.
      introduction