SqrtGeom.gif
Summary
Description SqrtGeom.gif |
English:
Straightedge and compass construction
of the length
, given the length
and the unit length. The proof relies on
Thales's theorem
(blue circle) to obtain a right triangle with hypothenuse length
, and on the
Pythagorean theorem
to set up equations about its height and side lengths, viz.
(from the left triangle; trivially satisfied),
(from the right triangle; trivially satisfied), and
(from the big triangle). Their unique positive solution is
.
|
Date | |
Source | Own work , inspired from File:TomoyukiMogi(SquareRoot).gif . |
Author | Jochen Burghardt |
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