Inscribed angle "V" and whose sides pass through points "A" and "B". Draw line "OA". Angle "BOA" is a central angle; call it "θ". Lines "OV" and "OA" are both radii of the circle, so they have equal lengths. Therefore, triangle "VOA" is isosceles, so angle "BVA" (the inscribed angle) and angle "VAO" are equal; let each of them be denoted as "ψ". Angles "BOA" and "AOV" are supplementary. They add up to 180°, since line "VB" passing through "O" is a straight line. Therefore, angle "AOV" measures 180° − "θ". It is known that the three angles of a triangle add
How Not to Be Wrong How Not to Be Wrong How Not to Be Wrong: The Power of Mathematical Thinking, written by Jordan Ellenberg, is a "New York Times Best Selling" book that connects various economic and societal philosophies with basic mathematics and statistical principles. "How Not to Be Wrong" explains the mathematics behind some of simplest day-to-day thinking. It then goes into more complex decisions people make. For example, Ellenberg explains many misconceptions about lotteries and whether or not they can be mathematically beaten. Ellenberg uses mathematics to examine real-world issues ranging from the fetishizing of straight lines in the reporting of obesity to