eul_aid: iaw
DOI 10.5281/zenodo.20335421
Euclid of Alexandria
Εὐκλείδης ὁ Ἀλεξανδρεύς

Euclid of Alexandria and the Elements of Mathematics

30 works

Euclid was an ancient Greek mathematician active in the early Hellenistic period, around 300 BCE. He worked in Alexandria, Egypt, during the reign of King Ptolemy I, where he founded a mathematical school. Very few reliable details about his personal life, birthplace, or education are known.

He is the author of several major mathematical treatises. His most famous and influential work is the Elements, a systematic compilation of the geometric knowledge of his time. Other significant surviving works include the Data, on geometric problems; the Phaenomena, on spherical astronomy; and the Optics, on perspective. The authorship of some works, like the Catoptrics on mirrors, is sometimes disputed. He also wrote several important works that are now lost, such as the Conics and Porisms.

Euclid's historical importance stems from his synthesis of existing mathematics into a rigorous logical system. The Elements is one of the most successful textbooks ever written, serving as the standard text of geometry for over two thousand years. Its method of starting from axioms and definitions and proceeding by deductive proof became a model for scientific and philosophical exposition. Translated into Arabic and later Latin, it was central to education from the medieval period through the Renaissance and profoundly influenced later thinkers like Isaac Newton. While much of the content was not original, his achievement was in its masterful organisation and proof.

Available Works

Catoptrics, Theon Edition?
Κατοπτρικά
328 passages
Data
Δεδομένα
1462 passages
Data Other Demonstrations
Δεδομένα καὶ Ἄλλαι Ἀποδείξεις
344 passages
Elements, Alternative Demonstrations (Book X)
Στοιχεῖα· Ἄλλαι ἀποδείξεις (βιβλ. ιʹ)
308 passages
Elements, Alternative Demonstrations (Book XI)
Στοιχεῖα· Ἄλλαι ἀποδείξεις (βιβλ. ιαʹ)
295 passages
Elements, Alternative Demonstrations (Books I–III)
Στοιχεῖα· Ἄλλαι ἀποδείξεις (βιβλ. αʹ–γʹ)
74 passages
Elements, Alternative Demonstrations (Books V–VI)
Στοιχεῖα· Ἄλλαι ἀποδείξεις (βιβλ. εʹ–ϛʹ)
118 passages
Elements, Books I–XIII
Στοιχεῖα (βίβλοι αʹ–ιγʹ)
10301 passages
Elements, Books I–XIII: Book I
Στοιχεῖα (βίβλοι αʹ–ιγʹ), Αʹ
780 passages
Elements, Books I–XIII: Book II
Στοιχεῖα (βίβλοι αʹ–ιγʹ), Βʹ
359 passages
Elements, Books I–XIII: Book III
Στοιχεῖα (βίβλοι αʹ–ιγʹ), Γʹ
745 passages
Elements, Books I–XIII: Book IV
Στοιχεῖα (βίβλοι αʹ–ιγʹ), Δʹ
363 passages
Elements, Books I–XIII: Book IX
Στοιχεῖα (βίβλοι αʹ–ιγʹ), Θʹ
631 passages
Elements, Books I–XIII: Book V
Στοιχεῖα (βίβλοι αʹ–ιγʹ), Εʹ
439 passages
Elements, Books I–XIII: Book VI
Στοιχεῖα (βίβλοι αʹ–ιγʹ), Ϛʹ
679 passages
Elements, Books I–XIII: Book VII
Στοιχεῖα (βίβλοι αʹ–ιγʹ), Ζʹ
645 passages
Elements, Books I–XIII: Book VIII
Στοιχεῖα (βίβλοι αʹ–ιγʹ), Ηʹ
471 passages
Elements, Books I–XIII: Book X
Στοιχεῖα (βίβλοι αʹ–ιγʹ), Ιʹ
2882 passages
Elements, Books I–XIII: Book XI
Στοιχεῖα (βίβλοι αʹ–ιγʹ), ΙΑʹ
872 passages
Elements, Books I–XIII: Book XII
Στοιχεῖα (βίβλοι αʹ–ιγʹ), ΙΒʹ
654 passages
Elements, Books I–XIII: Book XIII
Στοιχεῖα (βίβλοι αʹ–ιγʹ), ΙΓʹ
781 passages
Elements, Books XI–XII (Supplement)
Στοιχεῖα (βιβλ. ιαʹ–ιβʹ, ἀποσπάσματα)
558 passages
Epigram
Ἐπίγραμμα
8 passages
On Divisions of Figures
Ἀποσπάσματα
699 passages
Optics
Ὀπτικά
720 passages
Phenomena
Φαινόμενα
406 passages
Phenomena, Demonstrations of Another Recension B
Φαινόμενα (Ἀποδείξεις Ἀναθεωρήσεως Β)
126 passages
Phenomena, Recension B
Φαινόμενα (Ἀναθεώρησις Β)
267 passages
Review of Optics by Theon
Ἐπισκόπησις Ὀπτικῶν ὑπὸ Θεωνος
758 passages
Section of the Canon
Κανόνος Τομή
187 passages

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