Sum of angles of a triangle to zero. For a spherical triangle, the sum of the angles is greater than 180° and can be up to 540°. Specifically, the sum of the angles is where "f" is the fraction of the sphere's area which is enclosed by the triangle. Note that spherical geometry does not satisfy several of Euclid's axioms (including the parallel postulate.) Angles between adjacent sides of a triangle are referred to as "interior" angles in Euclidean and other geometries. "Exterior" angles can be also defined, and the Euclidean triangle postulate can be formulated as the exterior angle theorem. One can also consider the
The Sum of Our Discontent should try to bridge the gap between the eastern and western view of numbers, which have been in conflict since Pythagoras. He ends with a relevant quote from Prince Charles from his millennium broadcast on the BBC. Boyle's bottom line is that measuring does not in itself improve anything. The Sum of Our Discontent The Sum of Our Discontent is a nonfiction book by David Boyle. It was published by Texere in 2001. The tagline and theme of the book is "Why numbers make us irrational". The author's premise is that humans have been trying to improve the quality of