A Conversation for GG: Euclid's Elements
A13456082 - Euclid
Gnomon - time to move on Posted Jun 15, 2007
Chop up a circle into an even number of pie slices, using lines through the centre only. Arrange half the slices side by side and touching, so that they are curved side down and point upwards. Now fill in the gaps between them with the rest of the pie slices, curved side upwards and point downwards. You've got a rougly rectangular figure.
As you increase the number of slices, they get thinner and thinner, and the figure approaches a rectangle with sides (circumference over 2) and (radius). QED
A13456082 - Euclid
Gnomon - time to move on Posted Jun 15, 2007
Now that I understand what you mean by Euclid division (division with remainder), I conclude that it does not need to be mentioned in the Entry.
A13456082 - Euclid
Galaxy Babe - eclectic editor Posted Jun 19, 2007
A13456082 Euclid's Elements
Author: Gnomon
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h2g2 auto-messages Posted Jun 20, 2007
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Gnomon - time to move on Posted Jun 20, 2007
Congratulations - Your Entry has been Picked for the Edited Guide!
aka Bel - A87832164 Posted Jun 20, 2007
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Galaxy Babe - eclectic editor Posted Jun 20, 2007
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A13456082 - Euclid
- 41: Gnomon - time to move on (Jun 15, 2007)
- 42: Gnomon - time to move on (Jun 15, 2007)
- 43: toybox (Jun 15, 2007)
- 44: swl (Jun 16, 2007)
- 45: Gnomon - time to move on (Jun 16, 2007)
- 46: Galaxy Babe - eclectic editor (Jun 19, 2007)
- 47: h2g2 auto-messages (Jun 20, 2007)
- 48: Icy North (Jun 20, 2007)
- 49: swl (Jun 20, 2007)
- 50: Gnomon - time to move on (Jun 20, 2007)
- 51: toybox (Jun 20, 2007)
- 52: aka Bel - A87832164 (Jun 20, 2007)
- 53: Galaxy Babe - eclectic editor (Jun 20, 2007)
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