Show constructibility
"Constructible lengths are those that can be built from known lengths by the operations of, -,
,
and
."
How do you go about it?Show, using similar triangles, that if lengthsand
are constructible, then so are
and
.
How do you get a proper minus sign in? I've tried "-", "$-$", "--", ... nothing works.
Construct a trianglewith
of length
of length
and
of any length at all (so long as
Now construct a line, parallel to
and of length
followed by lines
and
parallel to there none dash equivalents.
The two triangles will be similar and if you work out the length of
A similar routine can be used to construct a line of length
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