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.
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"If four magnitudes be proportional, the rectangle contained by the extremes is equal to the rectangle contained by the means."
"Magnitudes which can be made to coincide are equal."
"The elements of geometry are derived from a small set of axioms and postulates."
"If equals be added to equals, the wholes are equal."
"If equals be subtracted from equals, the remainders are equal."
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