Hostname: page-component-586b7cd67f-r5fsc Total loading time: 0 Render date: 2024-11-24T15:38:06.620Z Has data issue: false hasContentIssue false

Playing with Pythagoras and geometric arithmetic

Published online by Cambridge University Press:  01 August 2016

Charles McNeill*
Affiliation:
E2417, Seventh Avenue, Spakane, WA99202, USA

Extract

I just couldn't see it; that was my difficulty with many mathematical abstractions: if I couldn't visually process a maths concept I would resort to rule, hoping that some day it would make sense.

Take the Pythagorean Theorem. It has been around for two millenniums plus, readily understood by all academically exposed to the liberal arts by the time they reach puberty; but me, I knew it, a2 + b2 = c2 and the picture of three little squares huddled around the perimeter of a right triangle, that was no help. Why not three equilateral triangles around the perimeter Of course a2 √3/4 + b2 √3/4 = c2 √3/4 is a bit ungainly, but it would work.

Type
Articles
Copyright
Copyright © The Mathematical Association 1999

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.)