- menelaus' theorem
- \\|menə|lāəs(ə̇z)-\ noun
Usage: usually capitalized MEtymology: after Menelaus, 1st century A.D. Greek geometer
Useful english dictionary. 2012.
menelaus' theorem
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Menelaus' theorem — Menelaus theorem, case 1: line DEF passes inside triangle ABC Menelaus theorem, named for Menelaus of Alexandria, is a theorem about triangles in plane geometry. Given a triangle ABC, and a transversal line that crosses BC, AC and AB at points D … Wikipedia
Menelaus (disambiguation) — Menelaus may refer to; Menelaus, one of the two most known Atrides, a king of Sparta and son of Atreus and Aerope Menelaus (crater) on the Moon, named after Menelaus of Alexandria. Menelaus (son of Lagus), brother of Ptolemy I Soter Menelaus of… … Wikipedia
Menelaus of Alexandria — (c. 70–140 CE) was a Greek[1] mathematician and astronomer, the first to recognize geodesics on a curved surface as natural analogs of straight lines. Contents 1 Life and Works 2 Bibliography … Wikipedia
Menelaus of Alexandria — ▪ Greek mathematician flourished 1st century AD, Alexandria and Rome Greek mathematician and astronomer who first conceived and defined a spherical triangle (a triangle formed by three arcs of great circles on the surface of a sphere).… … Universalium
Ceva's theorem — For other uses, see Ceva (disambiguation). Ceva s theorem, case 1: the three lines are concurrent at a point O inside ABC … Wikipedia
Pascal's theorem — In projective geometry, Pascal s theorem (aka Hexagrammum Mysticum Theorem) states that if an arbitrary hexagon is inscribed in any conic section, and opposite pairs of sides are extended until they meet, the three intersection points will lie on … Wikipedia
Monge's theorem — In geometry, Monge s theorem, named after Gaspard Monge, states that for any three circles in a plane, none of which is inside one of the others, the three intersection points of the three pairs of external tangent lines are in fact collinear.… … Wikipedia
Apollonius' theorem — In elementary geometry, Apollonius theorem is a theorem relating several elements in a triangle. It states that given a triangle ABC , if D is any point on BC such that it divides BC in the ratio n : m (or mBD = nDC), then:mAB^2 + nAC^2 = mBD^2 + … Wikipedia
History of trigonometry — The history of trigonometry and of trigonometric functions may span about 4000 years.EtymologyOur modern word sine is derived from the Latin word sinus , which means bay or fold , from a mistranslation (via Arabic) of the Sanskrit word jiva ,… … Wikipedia
Spherical trigonometry — Spherical triangle Spherical trigonometry is a branch of spherical geometry which deals with polygons (especially triangles) on the sphere and the relationships between the sides and the angles. This is of great importance for calculations in… … Wikipedia
