Ceva's theorem

noun

Ce·​va's theorem

ˈchāvəz-,

-ev-

: 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

Etymology

after Giovanni Ceva †about 1734 Italian mathematician, its formulator

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