Proof without words: a connection between the areas of three squares

In 2020, a Note in the Gazette [1] brought an interesting connection in a square: if we draw two rays (starting at a vertex) with an angle of 45∘ between them, they will intersect the opposite diag...

Authors

Publication Details

Journal
The Mathematical Gazette
Published
2026-10-13
DOI
https://doi.org/10.1080/00255572.2026.2741640
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Proof without words: a connection between the areas of three squares

Bulat Khaidarov
The Mathematical Gazette
Mathematics and Applications
article

Proof without words: a connection between the areas of three squares

Bulat Khaidarov
article en

Abstract

In 2020, a Note in the Gazette [1] brought an interesting connection in a square: if we draw two rays (starting at a vertex) with an angle of 45∘ between them, they will intersect the opposite diag...

The Mathematical Gazette
Openalex Percentile: Top 7%
Mathematics and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.