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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.
Proclus Lycius (/ ˈ p r ɒ k l ə s l aɪ ˈ s i ə s /; 8 February 412 – 17 April 485), called Proclus the Successor (Ancient Greek: Πρόκλος ὁ Διάδοχος, Próklos ho Diádokhos), was a Greek Neoplatonist philosopher, one of the last major classical philosophers of late antiquity.
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.
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.
VI. Progress in the Elements down to Plato's time ("the formative stage in which proofs were discovered and the logical bases of the science were beginning to be sought" [6]) VII. Special problems ("three famous problems" of antiquity [6]) VIII. Zeno of Elea IX. Plato X. From Plato to Euclid (Eudoxus and Aristotle) XI. Euclid XII. Aristarchus ...
The Republic (Ancient Greek: Πολιτεία, romanized: Politeia; Latin: De Republica) [1] is a Socratic dialogue, authored by Plato around 375 BC, concerning justice (dikaiosúnē), the order and character of the just city-state, and the just man. [2]
The last book (Book XIII) of the Euclid's Elements, which is probably derived from the work of Theaetetus, is devoted to constructing the Platonic solids and describing their properties; Andreas Speiser has advocated the view that the construction of the 5 regular solids is the chief goal of the deductive system canonized in the Elements. [2]
The debate over the extent to which Plato's portrayal of Socrates represents the actual Socrates's ideas is known as the Socratic problem. [62] [63] The Death of Socrates, by Jacques-Louis David (1787) Plato expressed his ideas through dialogues, that is, written works purporting to describe conversations between different individuals.