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  2. Equilateral triangle - Wikipedia

    en.wikipedia.org/wiki/Equilateral_triangle

    An equilateral triangle is a triangle that has three equal sides. It is a special case of an isosceles triangle in the modern definition, stating that an isosceles triangle is defined at least as having two equal sides. [1] Based on the modern definition, this leads to an equilateral triangle in which one of the three sides may be considered ...

  3. Equilateral triangles - Wikipedia

    en.wikipedia.org/?title=Equilateral_triangles&...

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  4. Triangle - Wikipedia

    en.wikipedia.org/wiki/Triangle

    Triangles have many types based on the length of the sides and the angles. A triangle whose sides are all the same length is an equilateral triangle, [3] a triangle with two sides having the same length is an isosceles triangle, [4] [a] and a triangle with three different-length sides is a scalene triangle. [7]

  5. Category:Types of triangles - Wikipedia

    en.wikipedia.org/wiki/Category:Types_of_triangles

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  6. Van Schooten's theorem - Wikipedia

    en.wikipedia.org/wiki/Van_Schooten's_theorem

    Van Schooten's theorem, named after the Dutch mathematician Frans van Schooten, describes a property of equilateral triangles.It states: For an equilateral triangle with a point on its circumcircle the length of longest of the three line segments ,, connecting with the vertices of the triangle equals the sum of the lengths of the other two.

  7. Tetractys - Wikipedia

    en.wikipedia.org/wiki/Tetractys

    The Tetractys [also known as the decad] is an equilateral triangle formed from the sequence of the first ten numbers aligned in four rows. It is both a mathematical idea and a metaphysical symbol that embraces within itself—in seedlike form—the principles of the natural world, the harmony of the cosmos, the ascent to the divine, and the ...

  8. Weitzenböck's inequality - Wikipedia

    en.wikipedia.org/wiki/Weitzenböck's_inequality

    Rewriting the inequality above allows for a more concrete geometric interpretation, which in turn provides an immediate proof. [1]+ +. Now the summands on the left side are the areas of equilateral triangles erected over the sides of the original triangle and hence the inequation states that the sum of areas of the equilateral triangles is always greater than or equal to threefold the area of ...

  9. Polyiamond - Wikipedia

    en.wikipedia.org/wiki/Polyiamond

    A polyiamond (also polyamond or simply iamond, or sometimes triangular polyomino [1]) is a polyform whose base form is an equilateral triangle.The word polyiamond is a back-formation from diamond, because this word is often used to describe the shape of a pair of equilateral triangles placed base to base, and the initial 'di-' looks like a Greek prefix meaning 'two-' (though diamond actually ...