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The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions.
Euclid (/ ˈ j uː k l ɪ d /; Ancient Greek: Εὐκλείδης; fl. 300 BC) was an ancient Greek mathematician active as a geometer and logician. [2] Considered the "father of geometry", [3] he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century.
Lysis (/ ˈ l aɪ s ɪ s /; Ancient Greek: Λύσις, genitive case Λύσιδος, showing the stem Λύσιδ-, from which the infrequent translation Lysides), is a dialogue of Plato which discusses the nature of philia (), often translated as friendship, while the word's original content was of a much larger and more intimate bond. [1]
Papyrus Oxyrhynchus 29 (P. Oxy. 29) is a fragment of the second book of the Elements of Euclid in Greek. It was discovered by Grenfell and Hunt in 1897 in Oxyrhynchus. The fragment was originally dated to the end of the third century or the beginning of the fourth century, although more recent scholarship suggests a date of 75–125 CE.
The Ring of Gyges / ˈ dʒ aɪ ˌ dʒ iː z / (Ancient Greek: Γύγου Δακτύλιος, Gúgou Daktúlios, Attic Greek pronunciation: [ˈɡyːˌɡoː dakˈtylios]) is a hypothetical magic ring mentioned by the philosopher Plato in Book 2 of his Republic (2:359a–2:360d). [1] It grants its owner the power to become invisible at will.
Euclid's Elements. Theon's edition of the Elements was the only known version until François Peyrard discovered an older copy of the Elements in the Vatican Library in 1808. [ 8 ] Comparison of the two versions show that Theon's edition attempts to remove difficulties that might be felt by learners in studying the text. [ 9 ]
Euclid of Megara - the founder of the Megarian school of philosophy, a student of Socrates and contemporary of Plato. [ 2 ] Terpsion - a friend of Euclid who is unknown outside of this dialogue, although later fables about him, that were likely written on the basis of this dialogue are preserved by Plutarch [ 3 ] and in the Cynic epistles .
"God always geometrizes." — Plato Plutarch elaborated on this phrase in his essay Πῶς Πλάτων ἔλεγε τὸν θεὸν ἀεί γεωμετρεῖν "What is Plato's meaning when he says that God always applies geometry". [2] Based on the phrase of Plato, above, a present-day mnemonic for π (pi) was derived: