A curious application of identities: a happy accident

Consider a parallelogram ABCD, with points M and N located on the segments BA and BC, respectively. Let I, J and K be the midpoints of the segments DM, MN and DN, respectively. Prove that the lines...

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Publication Details

Journal
The Mathematical Gazette
Published
2026-09-04
DOI
https://doi.org/10.1080/00255572.2026.2723423
Primary Topic
Mathematics and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

A curious application of identities: a happy accident

Xicheng Peng
The Mathematical Gazette
Mathematics and Applications
article

A curious application of identities: a happy accident

Xicheng Peng
article en

Abstract

Consider a parallelogram ABCD, with points M and N located on the segments BA and BC, respectively. Let I, J and K be the midpoints of the segments DM, MN and DN, respectively. Prove that the lines...

The Mathematical Gazette
Central China Normal University (CN)
Gender equality
Openalex Percentile: Top 5%
Mathematics and Applications
DOISourceOpenAlex
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