Bibliography & Cited Works

Classical, medieval, and modern works cited in Sir Thomas L. Heath’s The Thirteen Books of Euclid’s Elements, grouped by author and work with direct links to cited loci and folio milestones.

Adrien-Marie Legendre (1752 – 1833)

See bio in Adrien-Marie Legendre.

Éléments de géométrie (1794) (legendre:elements-de-geometrie)

Alcinous

See bio in Alcinous.

De Doctrina Platonis (alkinous:de-doctrina-platonis)

Anicius Manlius Severinus Boethius (c. 480 – 524 AD)

See bio in Anicius Manlius Severinus Boethius.

De Institutione Musica (boethius:de-institutione-musica)

Apollonius of Perga (c. 240 – c. 190 BC)

See bio in Apollonius of Perga.

Comparison of the Dodecahedron and the Icosahedron (apollonius:comparison-solids)

Conics (Κωνικά) (apollonius:conics)

Plane Loci (Τόποι ἐπίπεδοι) (apollonius:plane-loci)

Tactiones (apollonius:tactiones)

Archimedes of Syracuse (c. 287 – 212 BC)

See bio in Archimedes of Syracuse.

On Conoids and Spheroids (archimedes:conoids-and-spheroids)

On the Equilibrium of Planes (archimedes:equilibrium-of-planes)

Liber Assumptorum (Book of Lemmas) (archimedes:liber-assumptorum)

The Method of Mechanical Theorems (Ἐφόδιον) (archimedes:methodus)

Quadrature of the Parabola (archimedes:quadrature-of-parabola)

On the Sphere and Cylinder (Περὶ σφαίρας καὶ κυλίνδρου) (archimedes:sphere-and-cylinder)

Aristaeus

See bio in Aristaeus.

Comparison of the Five Regular Solids (aristaeus:comparison-five-solids)

Solid Loci (Τόποι στερεοί) (aristaeus:solid-loci)

Aristotle of Stagira (384 – 322 BC)

See bio in Aristotle of Stagira.

Analytica Posteriora (Posterior Analytics) (aristotle:anal-post)

  • I.10.76b41 — Cited on Vol. I, p. 195

  • I.12.77b22 — Cited on Vol. I, p. 190

  • I.24.85b38 — Cited on Vol. I, p. 322

  • I.24.85b5 — Cited on Vol. I, p. 320

  • I.4.73b19 — Cited on Vol. I, p. 159

  • I.5.74a25 — Cited on Vol. I, p. 319

  • II.3.90b37 — Cited on Vol. I, p. 183

Analytica Priora (Prior Analytics) (aristotle:anal-prior)

  • I.24.41b13-22 — Cited on Vol. I, p. 252

  • II.16.65a4 — Cited on Vol. I, p. 191, Vol. I, p. 202

  • II.17.66a11 — Cited on Vol. I, p. 190

  • II.17.66a11-15 — Cited on Vol. I, p. 309

De Anima (On the Soul) (aristotle:de-anima)

  • I.1.402b19 — Cited on Vol. I, p. 159

  • I.4.409a4 — Cited on Vol. I, p. 156, Vol. I, p. 159, Vol. I, p. 170

  • I.4.409a6 — Cited on Vol. I, p. 155

  • II.3.414b20-28 — Cited on Vol. I, p. 183

  • II.3.414b31 — Cited on Vol. I, p. 188

  • III.1.425a18 — Cited on Vol. I, p. 182

  • III.6.430b20 — Cited on Vol. I, p. 157

De Caelo (On the Heavens) (aristotle:de-caelo)

  • 296b20 — Cited on Vol. I, p. 178

  • I.2.268b17 — Cited on Vol. I, p. 160

  • I.4.271a13 — Cited on Vol. I, p. 166

  • I.5.271b28 — Cited on Vol. I, p. 207

  • II.13.296a17 — Cited on Vol. I, p. 156

  • II.2.284b24 — Cited on Vol. I, p. 158

  • II.4.286b13 — Cited on Vol. I, p. 182

  • II.4.286b13-16 — Cited on Vol. I, p. 184

  • II.4.287a19 — Cited on Vol. I, p. 184

  • III.1.300a14 — Cited on Vol. I, p. 156

  • IV.4.311b34 — Cited on Vol. I, p. 252

Ethica Nicomachea (Nicomachean Ethics) (aristotle:eth-nic)

  • IX.11.1171a32 — Cited on Vol. I, p. 221

  • VIII.12.1161a8 — Cited on Vol. I, p. 167

  • X.8.1178a25 — Cited on Vol. I, p. 167

Metaphysica (Metaphysics) (aristotle:met)

  • 1016a13 — Cited on Vol. I, p. 176

  • 1016a2 — Cited on Vol. I, p. 159

  • 1016b24 — Cited on Vol. I, p. 155

  • 1016b25-27 — Cited on Vol. I, p. 158

  • 1020a11 — Cited on Vol. I, p. 159

  • 1020a12 — Cited on Vol. I, p. 170

  • 1035b32 — Cited on Vol. I, p. 155

  • 1035b6 — Cited on Vol. I, p. 181

  • 1051a24 — Cited on Vol. I, p. 320

  • 1054b2 — Cited on Vol. I, p. 188

  • 1055a9 — Cited on Vol. I, p. 199

  • 1060b14 — Cited on Vol. I, p. 170

  • 1060b15 — Cited on Vol. I, p. 165, Vol. I, p. 171

  • 1064a30 — Cited on Vol. I, p. 226

  • 1084b7 — Cited on Vol. I, p. 181

  • 1085a10 — Cited on Vol. I, p. 170

  • 1092b12 — Cited on Vol. I, p. 358

  • 986a25 — Cited on Vol. I, p. 159

  • 986a26 — Cited on Vol. I, p. 188

  • 989b32 — Cited on Vol. I, p. 226

Meteorologica (aristotle:meteorologica)

Physica (Physics) (aristotle:phys)

  • I.5.188a25 — Cited on Vol. I, p. 178, Vol. I, p. 182

  • II.2.193b34 — Cited on Vol. I, p. 226

  • III.4.203a10-15 — Cited on Vol. I, p. 351

  • III.5.204a34 — Cited on Vol. I, p. 233

  • III.6.206a15-25 — Cited on Vol. I, p. 233

  • IV.1.209a11 — Cited on Vol. I, p. 156

  • IV.1.209a4 — Cited on Vol. I, p. 199

  • IV.11.220a1-21 — Cited on Vol. I, p. 156

  • IV.8.215b19 — Cited on Vol. I, p. 156

  • V.4.228b25 — Cited on Vol. I, p. 226

  • VI.1.231a21 — Cited on Vol. I, p. 268

  • VI.1.231b8 — Cited on Vol. I, p. 181

Topica (Topics) (aristotle:topics)

  • IX.15.174a32 — Cited on Vol. I, p. 167

  • VI.11.148b27 — Cited on Vol. I, p. 166

  • VI.4.141b20 — Cited on Vol. I, p. 155

  • VI.4.141b21 — Cited on Vol. I, p. 156

  • VI.4.141b22 — Cited on Vol. I, p. 170

  • VI.6.143b11 — Cited on Vol. I, p. 158

Augustus De Morgan (1806 – 1871)

See bio in Augustus De Morgan.

Formal Logic (1847) (de-morgan:formal-logic)

Articles in The Penny Cyclopaedia (de-morgan:penny-cyclopaedia)

Christensen

See bio in Christensen.

Zeitschrift Math Phys (christensen:zeitschrift-math-phys)

Chrystal

See bio in Chrystal.

Textbook Of Algebra (chrystal:textbook-of-algebra)

Claudius Ptolemy (c. 100 – c. 170 AD)

See bio in Claudius Ptolemy.

Syntaxis Mathematica (Almagest) (ptolemy:syntaxis)

Cossali

See bio in Cossali.

Origine Algebra (cossali:origine-algebra)

David Hilbert (1862 – 1943)

See bio in David Hilbert.

Grundlagen der Geometrie (Foundations of Geometry, 1899) (hilbert:grundlagen)

  • General reference — Cited on Vol. I, p. 228, Vol. I, p. 249, Vol. I, p. 328

De Paolis

Elementi Di Geometria (de-paolis:elementi-di-geometria)

Democritus

See bio in Democritus.

Peri Alogon Grammon (democritus:peri-alogon-grammon)

Diogenes Laertius

See bio in Diogenes Laertius.

Lives and Opinions of Eminent Philosophers (diogenes-laertius:vitae)

Dodgson

See bio in Dodgson.

Euclid and His Modern Rivals (1879) (dodgson:euclid-and-modern-rivals)

Enestrom

Bibliotheca Mathematica (enestrom:bibliotheca-mathematica)

Euclid of Alexandria (fl. c. 300 BC)

See bio in Euclid of Alexandria.

Data (Δεδομένα) (euclid:data)

Elements (Στοιχεῖα) (euclid:elements)

On Divisions of Figures (Περὶ διαιρέσεων βιβλίον) (euclid:on-divisions)

Optics (Ὀπτικά) (euclid:optics)

Phaenomena (Φαινόμενα) (euclid:phaenomena)

Porisms (Πορίσματα) (euclid:porisms)

Sectio Canonis (Κατατομὴ κανόνος) (euclid:sectio-canonis)

Surface Loci (Τόποι πρὸς ἐπιφανείᾳ) (euclid:surface-loci)

Eudemus of Rhodes (c. 370 – c. 300 BC)

See bio in Eudemus of Rhodes.

History of Geometry (Γεωμετρικὴ Ἱστορία) (eudemus:history-of-geometry)

Eutocius of Ascalon (c. 480 – c. 540 AD)

See bio in Eutocius of Ascalon.

Commentaries on Archimedes’ On the Sphere and Cylinder (eutocius:in-archimedem)

G. Vitali

See bio in G. Vitali.

Questioni (vitali:questioni)

George Johnston Allman (1824 – 1904)

See bio in George Johnston Allman.

Greek Geometry from Thales to Euclid (1889) (allman:greek-geometry)

Gino Loria (1862 – 1954)

See bio in Gino Loria.

Le scienze esatte nell’ antica Grecia (1893–1902 / 1914) (loria:scienze-esatte)

Girolamo Saccheri, S.J. (1667 – 1733)

See bio in Girolamo Saccheri, S.J..

Euclides ab omni naevo vindicatus (1733) (saccheri:euclides-vindicatus)

Hermann Hankel (1839 – 1873)

See bio in Hermann Hankel.

Zur Geschichte der Mathematik in Alterthum und Mittelalter (1874) (hankel:geschichte)

Heron of Alexandria (fl. 1st century AD)

See bio in Heron of Alexandria.

Dioptra (Περὶ διόπτρας) (heron:dioptra)

Metrica (Μετρικά) (heron:metrica)

Hieronymus Georg Zeuthen (1839 – 1920)

See bio in Hieronymus Georg Zeuthen.

Geschichte der Mathematik im Altertum und Mittelalter (1896) (zeuthen:geschichte-altertum)

Die Lehre von den Kegelschnitten im Altertum (1886) (zeuthen:kegelschnitte)

Hultsch

See bio in Hultsch.

Neue Jahrbuecher (hultsch:neue-jahrbuecher)

Iamblichus

See bio in Iamblichus.

In Nicomachi Arithmeticam Introductionem (iamblichus:in-nicomachi-arith)

Ibn al-Nadīm

Kitāb al-Fihrist (987 AD) (ibn-al-nadim:fihrist)

Isaac Barrow (1630 – 1677)

See bio in Isaac Barrow.

Lectiones Mathematicae Cantabrigienses (1683) (barrow:lectiones-cantabrigienses)

Johan Ludvig Heiberg (1854 – 1928)

See bio in Johan Ludvig Heiberg.

Archimedis Opera Omnia (Teubner) (heiberg:archimedis-opera)

Litterargeschichtliche Studien über Euklid (1882) (heiberg:euklid-studien)

Mathematisches zu Aristoteles (1904) (heiberg:mathematisches-zu-aristoteles)

John Wallis (1616 – 1703)

See bio in John Wallis.

De Angulo Contactus et Semicirculi Disquisitio Geometrica (1656) (wallis:de-angulo-contactus)

Kluge

See bio in Kluge.

De Euclidis Xiv Xv (kluge:de-euclidis-xiv-xv)

Knoche

Euklid Studien (knoche:euklid-studien)

Leonardo of Pisa

See bio in Leonardo of Pisa.

Liber Abaci (1202 / 1228) (fibonacci:liber-abaci)

Leotaud

Cyclomathia (leotaud:cyclomathia)

Max Simon (1844 – 1918)

See bio in Max Simon.

Euclid und die sechs planimetrischen Bücher (1901) (simon:euclid-1901)

Meier Hirsch

See bio in Meier Hirsch.

Algebraischer Commentar (hirsch:algebraischer-commentar)

Michael Stifel

See bio in Michael Stifel.

Arithmetica Integra (1544) (stifel:arithmetica-integra)

Moritz Benedikt Cantor (1829 – 1920)

See bio in Moritz Benedikt Cantor.

Vorlesungen über Geschichte der Mathematik (1880–1908) (cantor:vorlesungen)

Moritz Pasch (1843 – 1930)

See bio in Moritz Pasch.

Vorlesungen über neuere Geometrie (1882) (pasch:neuere-geometrie)

  • General reference — Cited on Vol. I, p. 228, Vol. I, p. 250

Nesselmann

See bio in Nesselmann.

Die Algebra der Griechen (1842) (nesselmann:algebra-der-griechen)

Nicomachus of Gerasa (c. 60 – c. 120 AD)

See bio in Nicomachus of Gerasa.

Introductio Arithmetica (nicomachus:intro-arith)

Nixon

Euclid Revised (nixon:euclid-revised)

Pappus of Alexandria (fl. c. 320 AD)

See bio in Pappus of Alexandria.

Mathematical Collection (Συναγωγή, ed. Hultsch) (pappus:collectio)

Paul Stäckel & Friedrich Engel

Die Theorie der Parallellinien von Euklid bis auf Gauss (1895) (staeckel-engel:parallellinien)

  • General reference — Cited on Vol. I, p. 211, Vol. I, p. 219, Vol. I, p. 321

Paul Tannery (1843 – 1904)

See bio in Paul Tannery.

La Géométrie grecque (1887) (tannery:geometrie-grecque)

Memoires Bordeaux (tannery:memoires-bordeaux)

Pauly Wissowa

Real Encyclopaedie (pauly-wissowa:real-encyclopaedie)

Plato (428/427 – 348/347 BC)

See bio in Plato.

Laws (Νόμοι) (plato:laws)

  • 777D — Cited on Vol. I, p. 167

Meno (Μένων) (plato:meno)

  • 76A — Cited on Vol. I, p. 183

Parmenides (Παρμενίδης) (plato:parm)

  • 137E — Cited on Vol. I, p. 165, Vol. I, p. 184

  • 145B — Cited on Vol. I, p. 159

Republic (Πολιτεία) (plato:rep)

  • VI.510C — Cited on Vol. I, p. 181

  • X.602c — Cited on Vol. I, p. 159

Sophist (Σοφιστής) (plato:sophist)

Theaetetus (Θεαίτητος) (plato:theaetetus)

Timaeus (Τίμαιος) (plato:timaeus)

Plutarch

See bio in Plutarch.

De Communibus Notitiis adversus Stoicos (plutarch:de-communibus-notitiis)

De Defectu Oraculorum (plutarch:de-defectu-oraculorum)

Poselger

See bio in Poselger.

Zehnte Buch (poselger:zehnte-buch)

Proclus Lycius Diadochus (412 – 485 AD)

See bio in Proclus Lycius Diadochus.

In Primum Euclidis Elementorum Librum Commentarii (ed. Friedlein, 1873) (proclus:in-euclid)

  • 100.5-19 — Cited on Vol. I, p. 159

  • 100.6 — Cited on Vol. I, p. 221

  • 105.11 — Cited on Vol. I, p. 162

  • 105.5 — Cited on Vol. I, p. 162

  • 110.18-23 — Cited on Vol. I, p. 168

  • 111.9-20 — Cited on Vol. I, p. 161

  • 112.1 — Cited on Vol. I, p. 162

  • 116.17 — Cited on Vol. I, p. 169

  • 117.20 — Cited on Vol. I, p. 172

  • 117.8 — Cited on Vol. I, p. 172

  • 126.7-127.16 — Cited on Vol. I, p. 178

  • 133.15 — Cited on Vol. I, p. 182

  • 136.8 — Cited on Vol. I, p. 182

  • 143.8 — Cited on Vol. I, p. 183

  • 153.3 — Cited on Vol. I, p. 185

  • 157.10 — Cited on Vol. I, p. 185

  • 166.10 — Cited on Vol. I, p. 188

  • 168.24 — Cited on Vol. I, p. 188

  • 176.6-17 — Cited on Vol. I, p. 190

  • 177.11 — Cited on Vol. I, p. 191

  • 189.11 — Cited on Vol. I, p. 201

  • 191.21 — Cited on Vol. I, p. 202

  • 196.21 — Cited on Vol. I, p. 232

  • 197.6-198.5 — Cited on Vol. I, p. 224

  • 202.5 — Cited on Vol. I, p. 243

  • 214.18 — Cited on Vol. I, p. 196

  • 215.24 — Cited on Vol. I, p. 197

  • 217.10 — Cited on Vol. I, p. 198

  • 248.22-249.19 — Cited on Vol. I, p. 254

  • 249.20-250.12 — Cited on Vol. I, p. 254

  • 250.20 — Cited on Vol. I, p. 252

  • 252.5 — Cited on Vol. I, p. 256

  • 272.3-7 — Cited on Vol. I, p. 161

  • 277.25-279.4 — Cited on Vol. I, p. 268

  • 279.16-280.4 — Cited on Vol. I, p. 268

  • 282.8 — Cited on Vol. I, p. 270

  • 283.7-10 — Cited on Vol. I, p. 271

  • 283.9 — Cited on Vol. I, p. 181

  • 286.12-289.6 — Cited on Vol. I, p. 272

  • 298.14-24 — Cited on Vol. I, p. 278

  • 299.3-6 — Cited on Vol. I, p. 278

  • 315.11-316.13 — Cited on Vol. I, p. 283

  • 318.16-23 — Cited on Vol. I, p. 285

  • 322 — Cited on Vol. I, p. 287

  • 323-6 — Cited on Vol. I, p. 287

  • 327.12 — Cited on Vol. I, p. 290

  • 331.8 — Cited on Vol. I, p. 293

  • 333.5 — Cited on Vol. I, p. 295

  • 335.19 — Cited on Vol. I, p. 296

  • 339.11 — Cited on Vol. I, p. 298

  • 345-7 — Cited on Vol. I, p. 300

  • 351 — Cited on Vol. I, p. 306

  • 356.11 — Cited on Vol. I, p. 266

  • 357.9 — Cited on Vol. I, p. 308

  • 365.14-367.27 — Cited on Vol. I, p. 205

  • 365.7-11 — Cited on Vol. I, p. 204

  • 368.26 — Cited on Vol. I, p. 206

  • 379.2-15 — Cited on Vol. I, p. 320

  • 379.2-5 — Cited on Vol. I, p. 317

  • 393 — Cited on Vol. I, p. 325

  • 394-6 — Cited on Vol. I, p. 329

  • 399-400 — Cited on Vol. I, p. 328

  • 403.5 — Cited on Vol. I, p. 332

  • 407.4-17 — Cited on Vol. I, p. 337

  • 414.15-415.16 — Cited on Vol. I, p. 338

  • 423.18 — Cited on Vol. I, p. 348

  • 424-5 — Cited on Vol. I, p. 348

  • 426.6 — Cited on Vol. I, p. 350

  • 426.6-9 — Cited on Vol. I, p. 319

  • 95.21 — Cited on Vol. I, p. 155

  • 96.21-97.3 — Cited on Vol. I, p. 158

  • 97.8-13 — Cited on Vol. I, p. 159

In Platonis Timaeum Commentaria (proclus:in-platonis-timaeum)

Serenus

See bio in Serenus.

On the Section of a Cone (serenus:de-sectione-coni)

Simon Stevin

See bio in Simon Stevin.

Appendice Incommensurables (stevin:appendice-incommensurables)

Les Œuvres Mathématiques (1634) (stevin:oeuvres-mathematiques)

Simplicius of Cilicia (c. 490 – c. 560 AD)

See bio in Simplicius of Cilicia.

In Aristotelis Physicorum Libros Commentaria (ed. Diels) (simplicius:in-physica)

Sir Thomas Little Heath

Apollonius of Perga: Treatise on Conic Sections (1896) (heath:apollonius-of-perga)

The Method of Archimedes (1912) (heath:method-of-archimedes)

The Works of Archimedes (1897) (heath:works-of-archimedes)

Stobaeus

See bio in Stobaeus.

Eclogae Physicae et Ethicae (stobaeus:eclogae)

Suter

See bio in Suter.

Die Mathematiker und Astronomen der Araber und ihre Werke (1900) (suter:mathematiker-araber)

Theodosius

See bio in Theodosius.

Sphaerica (Σφαιρικά) (theodosius:sphaerica)

Woepcke

See bio in Woepcke.

Memoires Academie (woepcke:memoires-academie)