To place at a given point (as an extremity) a straight line equal to a given straight line

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Euclid's Elements Book I, Proposition 2

## Friday, February 5, 2010

### Euclid's Elements Book I, Proposition 2

Labels:
Book I,
circle,
congruence,
Elements,
equilateral,
Euclid,
line,
triangle

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BC = BE radii of the same circle DE = DF radii of the same circle. also triangle DAB is equilateral so DA = DB. this implies that DF - DA = DE - DB. this implies that AF = BE. but BE = BC as they are radii of the same circle. so this implies that

ReplyDeleteAF = BC.

Q. E. D.