equilateral and equiangular

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• Equilateral triangle — In geometry, an equilateral triangle is a triangle in which all three sides have equal lengths. In traditional or Euclidean geometry, equilateral triangles are also equiangular; that is, all three internal angles are also equal to each other and… …   Wikipedia

• Equilateral polygon — In geometry, an equilateral polygon is a polygon which has all sides of the same length. For instance, an equilateral triangle is a triangle of equal edge lengths. All equilateral triangles are similar to each other, and have 60 degree internal… …   Wikipedia

• Equiangular polygon — In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal. If the lengths of the sides are also equal then it is a regular polygon.The only equiangular triangle is the equilateral triangle. Rectangles, including the …   Wikipedia

• Equiangular lines — In geometry, a set of lines in Euclidean space is called equiangular if every pair of lines makes the same angle.Equiangular lines are related to two graphs. Given a set of equiangular lines, let c be the cosine of the common angle. We assume… …   Wikipedia

• equilateral — Synonyms and related words: balanced, coequal, coordinate, equal, equiangular, equidimensional, equiproportional, equisided, equisized, equispaced, eurythmic, even, finished, harmonious, isometric, proportioned, regular, symmetric, uniform, well… …   Moby Thesaurus

• polygon — polygonal /peuh lig euh nl/, adj. polygonally, adv. /pol ee gon /, n. a figure, esp. a closed plane figure, having three or more, usually straight, sides. See illus. under heptagon, hexagon, octagon, pentagon, quadrilateral, triangle …   Universalium

• square — squarable, adj. squarelike, adj. squareness, n. squarer, n. /skwair/, n., v., squared, squaring, adj., squarer, squarest, adv. n. 1. a rectangle having all four sides of equal length …   Universalium

• optimization — /op teuh meuh zay sheuhn/ 1. the fact of optimizing; making the best of anything. 2. the condition of being optimized. 3. Math. a mathematical technique for finding a maximum or minimum value of a function of several variables subject to a set of …   Universalium

• Pappus of Alexandria — (Greek polytonic|Πάππος ὁ Ἀλεξανδρεύς) (c. 290 ndash; c. 350) was one of the last great Greek mathematicians of antiquity, known for his Synagoge or Collection (c. 340), and for Pappus s Theorem in projective geometry. Nothing is known of his… …   Wikipedia

• Zenodorus (mathematician) — Zenodorus (ca. 200 BCE ca. 140 BCE) was an ancient Greek mathematician. Life and work Little is known about the life of Zenodorus, although he may have befriended Philonides and made two trips to Athens, as described in Philonides biography. From …   Wikipedia

• Regular — Reg u*lar ( l?r), a. [L. regularis, fr. regula a rule, fr. regere to guide, to rule: cf. F. r[ e]gulier. See {Rule}.] [1913 Webster] 1. Conformed to a rule; agreeable to an established rule, law, principle, or type, or to established customary… …   The Collaborative International Dictionary of English