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The scalene triangle C has no symmetries, but the isosceles triangle B has a bilateral symmetry. The equilateral triangle A not only has three bilateral symmetries, but also has 120°-rotational symmetries.
As defined by Euclid, an equilateral triangle is not to be considered as an isosceles triangle, but in modern terminology,examples on free math tutor; it is usually the case that equilateral triangles are included among the isosceles triangles, that is, it is only required that at least two sides be equal in order for a triangle to be isosceles. Generally speaking, modern definitions are inclusive whereas Euclid's definitions are usually exclusive.
Equilateral triangles are constructed in the very first proposition of the Elements. read more on online math forum.
The scalene triangle C has no symmetries, but the isosceles triangle B has a bilateral symmetry. The equilateral triangle A not only has three bilateral symmetries, but also has 120°-rotational symmetries.
As defined by Euclid, an equilateral triangle is not to be considered as an isosceles triangle, but in modern terminology,examples on free math tutor; it is usually the case that equilateral triangles are included among the isosceles triangles, that is, it is only required that at least two sides be equal in order for a triangle to be isosceles. Generally speaking, modern definitions are inclusive whereas Euclid's definitions are usually exclusive.
Equilateral triangles are constructed in the very first proposition of the Elements. read more on online math forum.
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