Ceva's theorem


Ce·​va's theorem
: a theorem in geometry: if three lines from a point O to the vertices A, B, and C of a triangle meet the opposite sides in A′, B′, and C′ respectively then AB′·BC′·CA′+AC′·BA′·CB′ = 0 and conversely if this relation holds the three lines AA′, BB′, CC′ meet in a point

Word History


after Giovanni Ceva †about 1734 Italian mathematician, its formulator

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Cite this Entry

“Ceva's theorem.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Ceva%27s%20theorem. Accessed 24 Jul. 2024.

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