Cover Image

Dissecting Circles to Prove a Square: A Novel Geometric Proof of the Pythagorean Theorem Using Circular Segments and Area Decomposition

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Chang, Luca Nathanael
Format:	Preprint
Published:	2025
Subjects:	History and Overview 51M04 (Primary), 00A05 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

An uncountable number of proofs of Pythagoras Theorem
by: Bhatnagar, Gaurav, et al.
Published: (2023)

More Shapes of Central Quadrilaterals
by: Rabinowitz, Stanley, et al.
Published: (2025)

The altitudes of a triangle
by: Mandelkern, Mark
Published: (2024)

Cycling along Euler road
by: Wyrzykowski, Dylan
Published: (2025)

Metric spaces in chess and international chess pieces graph diameters
by: Ripà, Marco
Published: (2023)

Yet another note on notation
by: Rus, Mircea Dan
Published: (2025)

Electrostatic Origins of the Dirichlet Principle
by: Deckelman, Steven
Published: (2024)

A Connection between Hyperreals and Topological Filters
by: Benslimane, Mohamed
Published: (2024)

An analysis of Euclid's geometrical foundations
by: Johnson, Peter M
Published: (2025)

Unlocking Your Bike the Easy Way
by: Sonnleitner, Mathias
Published: (2023)

Hilbert's Program and Infinity
by: Zach, Richard
Published: (2026)

Database-Driven Mathematical Inquiry
by: Clontz, Steven
Published: (2024)

Kiselyov's geometry
by: Kiselyov, Andrei Petrovich
Published: (2018)

Volume decay and concentration of high-dimensional Euclidean balls -- a PDE and variational perspective
by: Li, Siran
Published: (2020)

If parallel lines could meet: What exactly can a poet say about the Fano plane?
by: Collins, Katherine, et al.
Published: (2024)

Proof of the Generalization of the Sawayama-Thébault Theorem
by: Płatek, Miłosz
Published: (2026)

The Braids on your Blanket
by: Cheng, Michelle, et al.
Published: (2023)

A Wild Steiner-Lehmus Chase
by: Grinberg, Eric L., et al.
Published: (2026)

Isogonal conjugation in isosceles tetrahedron
by: Harutyunyan, Saro
Published: (2026)

On merit and equity in math
by: Givental, Alexander
Published: (2024)

On the projection of the three vertices of an equilateral triangle
by: Kuhn, M. Gabriella, et al.
Published: (2024)

Trigonometric Ratios Can Prove the Pythagorean Theorem
by: Kise, Shoya, et al.
Published: (2025)

The Pitch-class Integer Theorem
by: Alons, Caleb Scott
Published: (2023)

Synthetic construction of the Hopf fibration in a double orthogonal projection of 4-space
by: Zamboj, Michal
Published: (2020)

A Hierarchy of Geometric Constructions
by: Maarefvand, MohammadJavad
Published: (2025)

Report on the 61st Annual International Mathematical Olympiad
by: Bajnok, Bela, et al.
Published: (2024)

Report on the 12th Annual USA Junior Mathematical Olympiad
by: Bajnok, Bela, et al.
Published: (2024)

Grationality, With a Spoon
by: Clark, L. Jeneva
Published: (2025)

Report on the 49th Annual United States of America Mathematical Olympiad
by: Bajnok, Bela
Published: (2024)

Report on the 50th Annual USA Mathematical Olympiad
by: Bajnok, Bela
Published: (2024)

Hyperbolic elliptic parabolic disks approximated by half distance bands
by: Lakos, Gyula
Published: (2026)

Memories with Solomon Marcus
by: Nichita, Florin Felix
Published: (2026)

A New Lemoine-Type Circle
by: Płatek, Miłosz
Published: (2026)

Observing rurality of a geographical area from road graph geometry -- a qualitative study
by: Luisto, Rami
Published: (2026)

On humanization of mathematics: aesthetic mathematics
by: Inoué, Takao
Published: (2023)

Textual analysis of ancient Indian mathematics
by: Kichenassamy, Satyanad
Published: (2025)

The strange story of an almost unknown prime number counter: The Rafael Barrett formula
by: Mizraji, Eduardo
Published: (2025)

The $\infty$-Oreo$^{^\circledR}$
by: Bosca, Vicente
Published: (2026)

The cycloid as brachistochrone: A one-page proof, from first principles, without calculus
by: Putland, Gavin R.
Published: (2025)

Tiling an Equilateral Triangle
by: Beeson, Michael
Published: (2018)