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Thus it can be seen that an equilateral triangle can be considered to be a special case of an isosceles triangle.
In the words of Euclid:
- Of trilateral figures, an equilateral triangle is that which has its three sides equal, an isosceles triangle that which has two of its sides alone equal, and a scalene triangle that which has its three sides unequal.
- Results about equilateral triangles can be found here.