isosceles etymology

Etymology:

  • Latin: isosceles (equal-legged)
  • Greek: isos (equal) + skelos (leg)

Meaning and Origin:

An isosceles triangle is a triangle with two equal sides and two equal angles. The term "isosceles" was coined by the ancient Greek mathematician Euclid in his Elements, written around 300 BC. Euclid defined an isosceles triangle as one that has "two sides equal to one another."

Derivation and Usage:

The word "isosceles" is derived from the Greek prefix "iso-" (equal) and the suffix "-sceles" (leg). It is often used in geometry to describe triangles that have two equal sides. Isosceles triangles have a number of interesting properties, such as:

  • The base angles are congruent.
  • The third angle is twice the measure of either base angle.
  • The altitudes drawn from the vertices to the bases are equal.
  • The bisector of the third angle is also the perpendicular bisector of the base.

Isosceles triangles are commonly found in architecture, engineering, and design. Some famous examples of isosceles triangles include the pyramids of ancient Egypt, the Eiffel Tower, and the roofs of many houses.

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