2118. On Menelaus' Theorem, Ceva's Theorem and the Harmonic Property of a Quadrilateral

1950 ◽  
Vol 34 (307) ◽  
pp. 51
Author(s):  
A. K. Srinivasan
Keyword(s):  
Ceva’S Theorem

Sourcebook in the Mathematics of Medieval Europe and North Africa

2016 ◽  
Keyword(s):  
North Africa ◽  
Cultural Influences ◽  
Mathematical Induction ◽  
Cross Cultural ◽  
General Introduction ◽  
Extensive Survey ◽  
Medieval Europe ◽  
Ceva’S Theorem ◽  
Arabic Speaking ◽  
First Time

Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This book presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon's use of mathematical induction in combinatorial proofs; Al-Muʾtaman Ibn Hūd's extensive survey of mathematics, which included proofs of Heron's Theorem and Ceva's Theorem; and Muhyī al-Dīn al-Maghribī's interesting proof of Euclid's parallel postulate. The book includes a general introduction, section introductions, footnotes, and references.

A Generalization of Ceva's Theorem

1960 ◽  
Vol 67 (2) ◽  
pp. 162 ◽  
Author(s):  
Joe Lipman
Keyword(s):  
Ceva’S Theorem

scholarly journals Routh’s, Menelaus’ and Generalized Ceva’s Theorems

2012 ◽  
Vol 20 (2) ◽  
pp. 157-159
Author(s):  
Boris A. Shminke
Keyword(s):  
Ceva’S Theorem ◽  
The Web

Summary The goal of this article is to formalize Ceva’s theorem that is in the [8] on the web. Alongside with it formalizations of Routh’s, Menelaus’ and generalized form of Ceva’s theorem itself are provided.

scholarly journals Ritz values of normal matrices and Ceva’s theorem

2013 ◽  
Vol 438 (11) ◽  
pp. 4114-4129 ◽  
Author(s):  
Russell Carden ◽  
Derek J. Hansen
Keyword(s):  
Ritz Values ◽  
Normal Matrices ◽  
Ceva’S Theorem

Ceva’s Theorem

2008 ◽  
pp. 1-5
Author(s):  
O. Bottema ◽  
Reinie Erne
Keyword(s):  
Ceva’S Theorem
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