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Equal Chords
Let ABC be a triangle with incenter I. Let AB and AC intersect the circle through B, I, and C at D and E, respectively, besides B and C. Then BD = CE.
Contributed by:
Jay Warendorff
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See problem 2.91(b) in V. Prasolov,
Problems in Plane and Solid Geometry
, Vol. 1,
Plane Geometry
[PDF], (D. Leites, ed. and trans.).
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Chord
(
Wolfram
MathWorld
)
Incenter
(
Wolfram
MathWorld
)
PERMANENT CITATION
"
Equal Chords
" from
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http://demonstrations.wolfram.com/EqualChords/
Contributed by:
Jay Warendorff
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