Results 71 to 80 of about 19,736 (242)

Pythagorean Triples and a New Pythagorean Theorem

open access: yes, 2007
21 pages, 5 figures, 3 tables Repaired ...
Price, H. Lee, Bernhart, Frank R.
openaire   +2 more sources

The isominwidth problem on the 2‐sphere

open access: yesMathematika, Volume 72, Issue 1, January 2026.
Abstract Pál's isominwidth theorem states that for a fixed minimal width, the regular triangle has minimal area. A spherical version of this theorem was proven by Bezdek and Blekherman, if the minimal width is at most π2$\tfrac{\pi }{2}$. If the width is greater than π2$\tfrac{\pi }{2}$, the regular triangle no longer minimizes the area at fixed ...
Ansgar Freyer, Ádám Sagmeister
wiley   +1 more source

Pythagoras on the rocks. A proof with bricks

open access: yesFormare, 2016
In this short paper a practical and simple proof of the Pythagorean theorem is proposed. It uses colourful interlocking plastic bricks with two shapes: a cube that measures two centimeters on each side and a right prism where the base is a right-angled ...
Michele Cagol, Alessandro Efrem Colombi
doaj   +1 more source

Euclid” Must Fall: The “Pythagorean” “Theorem” and the Rant of Racist and Civilizational Superiority - Part 1

open access: yesArụmarụka, 2021
To eliminate racist prejudices, it is necessary to identify the root cause(s) of racism. American slavery preceded racism, and it was closely associated with genocide. Accordingly, we seek the unique cause of the unique event of genocide + slavery.
C. K. RAJU
doaj   +1 more source

Multidimensional Topological Measure Spaces and Their Applications in Decision‐Making Problems

open access: yesAdvances in Fuzzy Systems, Volume 2026, Issue 1, 2026.
This paper presents a generalized framework termed the multidimensional topological measure space (MDTMS), developed through multidimensional fuzzy sets, multidimensional topology, and an associated distance measure. The suggested framework enhances traditional fuzzy models by facilitating a more nuanced representation and examination of intricate ...
Jomal Josen   +3 more
wiley   +1 more source

Diophantus' 20th Problem and Fermat's Last Theorem for n=4: Formalization of Fermat's Proofs in the Coq Proof Assistant

open access: yes, 2005
We present the proof of Diophantus' 20th problem (book VI of Diophantus' Arithmetica), which consists in wondering if there exist right triangles whose sides may be measured as integers and whose surface may be a square.
Delahaye, David, Mayero, Micaela
core   +1 more source

Analisis Kesalahan Siswa Kelas VIII dalam Menyelesaikan Soal Cerita Terkait Teorema Pythagoras

open access: yesJurnal Pendidikan: Teori, Penelitian, dan Pengembangan, 2019
: This research was aimed to describing the mistakes made by the eighth grade students of SMPN 2 Tiris in Probolinggo district in solving the story problems related to the Pythagorean Theorem.
Nur Hasan   +2 more
doaj   +1 more source

GENERALIZATION OF THE PYTHAGOREAN THEOREM

open access: yesDemonstratio Mathematica, 1991
In this note a generalized form of the Pythagorean theorem is shown and proved. Because the Pythagorean theorem is being often formulated in terms of a unitary space, for the purpose of this work a special version of the theorem is used.
openaire   +2 more sources

An Extended Kannan Contraction Mapping and Applications [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences
We extend the Kannan contraction principle and obtain a result that holds for both contractive and non-expansive mappings. Such mappings admit multiple fixed-points and the fixed-point sets and domains of these mappings display interesting algebraic ...
R. P. Pant
doaj   +1 more source

Multinomial expansions and the pythagorean theorem [PDF]

open access: yesProceedings of the American Mathematical Society, 1996
An addition formula for homogeneous polynomials is used to obtain a generalization of the Pythagorean theorem and a new view of the multinomial expansion.
openaire   +2 more sources

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