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{{short description|On lines connecting the vertices of an equilateral triangle to a point on its circumcircle}} ...the Dutch mathematician [[Frans van Schooten]], describes a property of [[equilateral triangle]]s. It states: ...

{{short description|Theorem about the midpoint of a line connecting squares on two sides of a triangle}} ...html GeoGebra Demonstrations Project - A Generalized Theorem - Equilateral Triangles] ...

...matics]], '''Marden's theorem''', named after [[Morris Marden]] but proved about 100 years earlier by Jörg Siebeck, gives a geometric relationship between t ...circle of radius <math>b</math>. This would transform the triangle into an equilateral triangle, with vertices <math>\zeta_j = \frac{b}{a}x_j + y_j i</math>. ...

...y [[convex set]],{{r|emch|eggleston}} two special cases that both apply to triangles. ...r|gardner}} The [[Calabi triangle]], an obtuse triangle, shares with the [[equilateral triangle]] the property of having three different ways of placing the large ...

...e, so there is a close relationship between integer triangles and rational triangles. ...[angle]]s measured in degrees—the only such triangles are rational-sided [[equilateral triangle]]s.<ref name=CG>Conway, J. H., and Guy, R. K., "The only rational ...

...es of the prism relative to each other, breaking each square face into two triangles separated by a non-convex edge. Some twist angles produce a ''jumping polyh ...prism]], with two parallel equilateral triangles as its faces. One of the triangles is rotated ...

{{About|the problem in classical mechanics|the problem in quantum mechanics|Many-bo ...Mathematical Exterior Ballistics" (Chapter 1, "The motion of a rigid body about a fixed point (Euler and Poisson equations)"; Chapter 2, "Mathematical Exte ...

...that of the diagonal of a square drawn on its predecessor, 1:{{radic|2}} (about 1:1.4142).<ref name=Tobin>{{cite journal |last=Tobin |first=Richard |title= ...he geometrical method of applying perspective in Florence, using [[similar triangles]] as formulated by Euclid, to find the apparent height of distant objects.< ...