The Mathematics of Plato's Academy: A New Reconstruction
In this new expanded edition, Fowler provides a detailed examination of the ancient texts related to the subject and gives a thought-provoking new interpretation. Among the features of this edition are an appendix, a new epilogue, and an updated bibliography.
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Contents
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THE DIMENSION OF SQUARES
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3 |
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ANTHYPHAIRETIC RATIO THEORY
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30 |
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PLATOS MATHEMATICS CURRICULUM
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103 |
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Copyright
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Common terms and phrases
algebraic algorithm alogos angles anthyphairetic ratios apotome approximations Archimedes Archytas argument Aristotle arithmetic arithmētikē arithmetised arithmoi artabas astronomical binomial Book calculation century Chapter commensurable common fractions construction contains context continued fractions convergents definition described diameter discussion early Greek mathematics epimoric equal Euclid Euclid's Elements Euclidean Eudemus Eudoxus Euler Eutocius evaluate evidence example expansion exploration expressible figure fragment further generalised geometry give given gnomon Heath Hence Hippias Major illustration incommensurable integer interpretation interval kind Knorr later less magnitudes manipulations manuscripts mathematicians mean multiplication notation numbers papyrus Parmenides passage Pell's equation pentagon Plato problem procedure Proclus proof proportion proposition proved Pythagoras Pythagoreans quadratic surd ratio theory reconstruction rectangle refer Republic VII result Section sequence sexagesimal slaveboy SOCRATES square straight line subtraction tables TBEE techniques Theaetetus theorem three-times topic translation triangle twice unit fractions word