MATH 274 Study Guide - Midterm Guide: Spherical Trigonometry, Diophantus, Almagest
10 Jan 2019
School
Department
Course
Professor
Document Summary
Math 274 spring 2009 reading/homework exam 2: so far as is known, archimedes (circa 250 b. c. ) was the rst to create a mathematical model of the lever. With his theory you can answer the following question. Determine if the lever balances, or alternately in which direction the lever will incline: use a result of heron ( rst century a. d. ) to compute the area of a triangle with side lengths 5,6,7. How was it relevant: explain the method eratosthenes (about 250 b. c. ) used to estimate the circumference of the earth. About how close in ratio was his estimate to the correct number: diophantus (circa 250 ad, alexandria) introduced the rst algebraic symbolism for equations. In what way did his equations escape the geometric foundations of previous. Desribe a way in which his symbolism was fundamentally more limited than the symbolism we use now.
