Menelaus' theorem

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Menelaus' theorem

[¦men·ə¦lā·əs ‚thir·əm]
(mathematics)
If ABC is a triangle and PQR is a straight line that cuts AB, CA, and the extension of BC at P, Q, and R respectively, then (AP / PB)(CQ / QA)(BR / CR) = 1.
References in periodicals archive ?
The well-known Menelaus theorem states that if l is a line not through any vertex of a triangle ABC such that l meets BC in D, CA in E, and AB in F, then DB/DC x EC/EA x FA/FB = 1 [1].