Weitzenbock's Inequality (Paperback)

High Quality Content by WIKIPEDIA articles! In mathematics, Weitzenbock's inequality (named for Roland Weitzenbock) states that for a triangle of side lengths a, b, c, and area . In mathematics, Napoleon's theorem states that if equilateral triangles are constructed on the sides of any triangle, either all outward, or all inward, the centroids of those equilateral triangles themselves form an equilateral triangle. The triangle thus formed is called the Napoleon triangle (inner and outer). The difference in area of these two triangles equals the area of the original triangle.