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 ?
If we use the Menelaus's theorem in the h-triangles ADC and ABD for the h-lines BPE, and CPF respectively, then
Here, in this study, we present a proof of Menelaus's theorem for quadrilaterals, a proof for the transversal theorem, and a proof of Menelaus's theorem for n-gons in the Einstein relativistic velocity model of hyperbolic geometry.
In this section, we prove Menelaus's theorem for hyperbolic quadrilateral.