Shirali, Shailesh
(2017)
Quadrilaterals with perpendicular diagonals.
At Right Angles, 6 (2).
pp. 30-37.
Abstract
In this article, we study a few properties possessed by any
quadrilateral whose diagonals are perpendicular to each
other. A four-sided figure possessing such a property is
known as an ortho-diagonal quadrilateral. Many special
four-sided shapes with which we are familiar have this
property: squares, rhombuses (where all four sides have equal length) and kites (where two pairs of adjacent sides have equal lengths). It may come as a surprise to the reader to find that such a simple requirement (diagonals perpendicular to each other) can lead to so many elementary and pleasing properties.
| Item Type: |
Articles in APF Magazines
|
| Authors: |
Shirali, Shailesh |
| Document Language: |
|
| Uncontrolled Keywords: |
Matahmatecis, Quadrilateral, perpendicular, diagonals, ortho-diagonal,
cyclic quadrilateral, midpoint parallelogram, midpoint rectangle,
midpoint circle, maltitude, eight-point circle, indeterminate |
| Subjects: |
Natural Sciences > Mathematics |
| Divisions: |
Azim Premji University - Bengaluru > University Publications > At Right Angles |
| Full Text Status: |
Public |
| URI: |
http://publications.azimpremjiuniversity.edu.in/id/eprint/1340 |
| Publisher URL: |
http://apfstatic.s3.ap-south-1.amazonaws.com/s3fs-... |
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