Key Phrases - Statistically Improbable Phrases (SIPs):
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defining pentagon, broken chord theorem, quinque corporibus, given rectilineal figure, icosahedron inscribed, ivth century, decagon inscribed, geometrical algebra, irrational line, diagonal numbers, pentagon inscribed, inscribed pentagon, area formulation, proportion theory, fixed compass, twelve pentagons, circumscribing circle
Key Phrases - Capitalized Phrases (CAPs):
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Abu Kamil, Pythagorean Theorem, Catalogue of Geometers, Euclid's Book, Sketch of Proof, Euclid's Elements, Heraclea Pontica, Zeus Ammon, Ibn Yunus, British Museum, Jemdet Nasr, Comparison of the Five Figures, Pappus-Ver Eecke, Plato's Theaetetus, Geometrica Deutsch, Determination of Chords, Hippocrates of Chios, Leodamas of Thasos, Tell Dan, Bibliothèque Nationale, Thabit ibn Qurra, Euclidean Algorithm, Tell Esdar, Tuleilat Ghassul, Hippias Major
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