- New
-
Topics
- All Categories
- Metaphysics and Epistemology
- Value Theory
- Science, Logic, and Mathematics
- Science, Logic, and Mathematics
- Logic and Philosophy of Logic
- Philosophy of Biology
- Philosophy of Cognitive Science
- Philosophy of Computing and Information
- Philosophy of Mathematics
- Philosophy of Physical Science
- Philosophy of Social Science
- Philosophy of Probability
- General Philosophy of Science
- Philosophy of Science, Misc
- History of Western Philosophy
- Philosophical Traditions
- Philosophy, Misc
- Other Academic Areas
- Journals
- Submit material
- More
Greek and Arabic constructions of the regular heptagon
Archive for History of Exact Sciences 30 (3):197-330 (1984)
Abstract
This paper deals with the exact constructions of the regular heptagon in Greek and Arabic geometry, which are preserved in a number of mainly unpublished Arabic manuscripts. Appended are editions of the Arabic texts and English translations of Propositions 17 and 18 of the “Book of the Construction of the Circle, Divided into Seven Equal Parts”, attributed to Archimedes, and of the “Book on the Construction of the Heptagon in the Circle and the Division of the Rectilineal Angle into Three Equal Parts” by the 10th century geometer Al-Sijzi.My notes
Similar books and articles
Archimedes' dimension of the circle: A view of the genesis of the extant text.Wilbur R. Knorr - 1986 - Archive for History of Exact Sciences 35 (4):281-324.
Breaking the circle: the emergence of Archimedean mechanics in the late Renaissance.Paolo Palmieri - 2008 - Archive for History of Exact Sciences 62 (3):301-346.
Greek and Indian planetary longitudes.Hugh Thurston - 1992 - Archive for History of Exact Sciences 44 (3):191-195.
The Role of Geometrical Construction in Theodosius’s Spherics.Ken Saito & Nathan Sidoli - 2009 - Archive for History of Exact Sciences 63 (6):581-609.
The foundation of algebraic geometry from Severi to André Weil.B. L. van der Waerden - 1971 - Archive for History of Exact Sciences 7 (3):171-180.
The treatment of observations in early astronomy.Oscar Sheynin - 1993 - Archive for History of Exact Sciences 46 (2):153-192.
Patterns of mathematical thought in the later seventeenth century.Derek Thomas Whiteside - 1961 - Archive for History of Exact Sciences 1 (3):179-388.
The calculus as algebraic analysis: Some observations on mathematical analysis in the 18th century.Craig G. Fraser - 1989 - Archive for History of Exact Sciences 39 (4):317-335.
On the history of the statistical method in astronomy.O. B. Sheynin - 1984 - Archive for History of Exact Sciences 29 (2):151-199.
Analytics
Added to PP
2020-04-04
Downloads
13 (#1,041,284)
6 months
4 (#1,005,419)
2020-04-04
Downloads
13 (#1,041,284)
6 months
4 (#1,005,419)
Historical graph of downloads
Citations of this work
Analysis of the So-called “Lemma of Archimedes” for Constructing a Regular Heptagon.Christian Marinus Taisbak - 1993 - Centaurus 36 (2):191-199.
On Archimedes' Construction of the Regular Heptagon.Wilbur R. Knorr - 1989 - Centaurus 32 (3):257-271.
References found in this work
Towards a Resolution of the Problem of τά ένί διαστηματι γ ραφόμενα In Pappus' Collection Book VIII.D. E. P. Jackson - 1980 - Classical Quarterly 30 (02):523-.
Notes on the Sources for the History of Early Islamic MathematicsGeschichte des arabischen Schrifttums, Band V: Mathematik bis Ca.David A. King & F. Sezgin - 1979 - Journal of the American Oriental Society 99 (3):450.
Drei planimetrische Aufgaben des arabischen Mathematikers Abu'l=Jud Muhammad ibn al=Lith.C. Schoy - 1925 - Isis 7 (1):5-8.
PhilPapers logo by Andrea Andrews and Meghan Driscoll.
This site uses cookies and Google Analytics (see our terms & conditions for details regarding the privacy implications). Use of this site is subject to terms & conditions.
All rights reserved by The PhilPapers Foundation
Server: philpapers-web-6686886f5-7g5mb uwo