Ceva's theorem

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Ceva's theorem [′chā·vəz ‚thir·əm]

(mathematics)

The theorem that if three concurrent straight lines pass through the verticesA, B,andCof a triangle and intersect the opposite sides, produced if necessary, atD, E,andF,then the productAF·BD·CEof the lengths of three alternate segments equals the productFB·DC·EAof the other three.

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