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Online Geometry Problem 810: Trisecting a Line Segment AB,
Two Circles,
Radius, Center, Diameter, Chord. Level: High School,
SAT Prep, College,
Mathematics Education
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The figure below shows a line segment AB.
Circles with radius AB and centers A and B cut at C and D. DA extended
and DB extended cuts circles A and B at F and E, respectively. AF and BC
meet at G, BE and AC meet at H.
Prove that DH and DG trisect AB (i.e., AM = MN = NB).
![Trisecting a line segment with 2 circles and 6 lines](p810-trisecting-segment-2-circles-8-lines.gif)
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