Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-16T16:15:09.146Z Has data issue: false hasContentIssue false
  • English
  • Français

Properties of inscribed and circumscribed rectangles

Published online by Cambridge University Press:  23 January 2015

I. Grattan-Guinness
I. Grattan-Guinness*
Affiliation:
Middlesex University Business School, The Burroughs, Hendon, London NW4 4BT
Get access Rights & Permissions [Opens in a new window]

Extract

The proportion angle of a non-square rectangle R, written ‘Pa (R)’, is defined to be the angle r < between a diagonal and the longer attached side. Circumscribe around R any other rectangle M that carries the corners of R on its sides, and let its proportion angle be m, which is also < . Then the theorem states that r < m.

Type
Articles
Information
The Mathematical Gazette , Volume 96 , Issue 535 , March 2012 , pp. 71 - 77
Copyright
Copyright © The Mathematical Association 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Student problem 2008.2 solution, Math. Gaz. 92 (July 2008) pp. 364–365.Google Scholar
2. Peterson, I., Pursuing pursuit curves, in Ivars Peterson's Math Trek, (July 16, 2001) www.maa.org/mathland/mathtrek_7_16_01.html Google Scholar
3. Peterson, I., Art of pursuit, in Ivars Peterson's Math Trek, (July 23, 2001) www.maa.org/mathlandlmathtrek_7_23-01.html Google Scholar
4. Schwartz, R. E. and Tabachnikov, S., Elementary surprises in projective geometry, The Mathematical Intelligencer, 32, no. 4, pp. 31–34.Google Scholar