Something New about the Line (Plato, Republic, Book VI -VII) (original) (raw)
Plato's Divided Line
Franco Trabattoni
View PDFchevron_right
What Did Glaucon Draw?: A Diagrammatic Proof for Plato's Divided Line
Terry Echterling
Journal of the History of Philosophy, 2018
View PDFchevron_right
From Plato's Rational Diameter to Proclus' Elegant Theorem
George Baloglou
2020
View PDFchevron_right
"As if it were evident" : The mathematician in the Line ( Plato, Republic VI 510a-)
Gabrièle Wersinger Taylor
View PDFchevron_right
Euclid's straight lines
Christer Kiselman
View PDFchevron_right
The standard proof, the elegant proof, and the proof without words of tasks in geometry, and their dynamic investigation
Ruti Segal
International Journal of Mathematical Education in Science and Technology, 2016
View PDFchevron_right
New Elements of Euclidean Geometry
Antonio Leon
New Elements of Euclidean Geometry, 2021
View PDFchevron_right
Euclid's straight lines: An experience
Christer Kiselman
2015
View PDFchevron_right
The Two Supreme Principles of Plato’s Cosmos—the One and the Indefinite Dyad—the Division of a Straight Line into Extreme and Mean Ratio, and Pingala’s Mātrāmeru
Maria Antonietta Salamone
Symmetry, 11(1) 98, 2019
View PDFchevron_right
Mathematical Interpretation of Plato's Third Man Argument
George Chailos
View PDFchevron_right
The Theorem of Pappus: A Bridge between Algebra and Geometry
Elena Marchisotto
The American Mathematical Monthly, 2002
View PDFchevron_right
Plato on Geometrical Hypothesis in the Meno
Naoya Iwata
Apeiron, 2015
View PDFchevron_right
Amicus Plato sed...': Fowler's New Mathematical Reconstruction of the Mathematics of Plato's Academy
Sabetai Unguru
Ann Sci, 2002
View PDFchevron_right
Go(Φ)d is Number: Plotting the Divided Line & the Problem of the Irrational
Sandra Kroeker
Athens Journal of Philosophy, 2024
View PDFchevron_right
Review: Theokritos Kouremenos. Plato's Forms, Mathematics and Astronomy. Boston/Berlin: De Gruyter, 2018
Leonid Zhmud
Syzetesis 6.2 (2019) 9-14, 2019
View PDFchevron_right
Homeomeric Lines in Greek Mathematics
Fabio Acerbi
Science in Context, 2010
View PDFchevron_right
An Introduction to the Modern Geometry of the Triangle and the Circle Altshiller Court N. College Geometry (Dover 2007)
Crizel Jean Reyes
View PDFchevron_right
Athens Journal of Humanities and Arts Ideas of Plato in the Context of Contemporary Science and Mathematics
Mark Burgin
View PDFchevron_right
Some Comments On: A Historical Note On The Proof Of The Area Of A Circle
JAIDEEP NAIDU
American Journal of Business Education (AJBE)
View PDFchevron_right
Iconic Proofs more geometrico
Timm Lampert
View PDFchevron_right
Faculty of Natural Sciences Constantine the Philosopher University in Nitra Acta Mathematica 17 49 Selected Geometrical Constructions
Michaela Holešová
2014
View PDFchevron_right
THE FORMATION OF A MYTH: GREEK MATHEMATICS—OUR MATHEMATICS
Jens Hoyrup
View PDFchevron_right
Is one proof enough? Travels with a mathematician of the baroque period
Jean Guy Dhombres
Educational Studies in Mathematics, 1993
View PDFchevron_right
One Theorem, Two Ways: A Case Study in Geometric Techniques
John Little
Journal of humanistic mathematics, 2023
View PDFchevron_right
Plato's Geometrical Logic
Mark Faller
2003
View PDFchevron_right
Philosophical Reflections on the Geometric Proof of Incommensurability
Kevin Cales
View PDFchevron_right
Plato's Use of Geometrical Logic
Mark Faller
2003
View PDFchevron_right
“A Trivial Source of Wonder: Some Mathematical Examples in Plato’s Dialogues”. Archiv für Geschichte der Philosophie, 106.3, 2024, pp. 379–410. https://doi.org/10.1515/agph-2021-0161.
Laura Marongiu
View PDFchevron_right
Advanced Plane Geometry Research 3: Alternative Proofs for the Standard Theorems in Plane Geometry
Indika Shameera Amarasinghe
View PDFchevron_right
In Terms of Athens (Proofs)
Demetra Kasimis
Ramus, 2021
View PDFchevron_right
On the History of Number Line
Galina Sinkevich
2015
View PDFchevron_right
SP.2H3 / ESG.SP2H3 Ancient Philosophy and Mathematics, Fall 2006
Lee Perlman
View PDFchevron_right
Euclidean geometry: foundations and paradoxes
George Mpantes
View PDFchevron_right
A thirteenth century ?proof? of the parallel postulate
Sabetai Unguru
Historia Mathematica, 1978
View PDFchevron_right
Textbooks revealing the development of a concept—the case of the number line in the analytic geometry (1708–1829)
Marcello Amadeo
ZDM: The International Journal on Mathematics Education, 2018
View PDFchevron_right