MATH 4109: Final Section 1 Exam 2025 Questions and Answers 100% Pass

MATH 4109: Final Section 1 Exam 2025 Questions and Answers 100% Pass A book with a collection of 465 theorems. It was organized so that if you needed one another proof in a theorem then it was before that one in the book. 13 books: Triangles & Parallel lines, proportions of circles, problems about circles, proportion, number theory, irrational numbers, solid geometry - The Elements -Handbook of 246 mathematical problems. -methods used to solve problems of engineering, trade, taxation, and surveying -played a fundamental role in the development of mathematics in China -200 bc book; 263 ad commentary by Liu Hui - Nine Chapters on the Mathematical Art -used 9 characters for 1-9 and a circle for 0 -demonstrated how to write numerals in this system -contained algorithms for =,-,x,÷, halving, doubling, finding square roots -fractions -introduced Hindu-Arabic Systems to Europe - Book of Addition and Subtraction According to the Hindu Calculation manual for solving linear and quadratic equations *al-Jabr* - "restoring" 2COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED *al-Mugabala* - "comparing" - The Condensed Book on the Calculation of al-Jabr and al-Muqabala -wrote by Fibonacci -introduced Hindu-Arabic numeration system -describes the algorithms for addition, subtraction, multiplication, and division that we use today -Fibonacci numbers -1,1,2,3,5,8,13,21 - Liber Abaci -"The Great Art" -wrote by Girolamo Cardano -1st book written in Latin devoted entirely to algebra -contains solution methods for both cubic and quartic equations -significant for its focus on theory of equations -method used to solve cubic equations was to reduce the cubic equation to a quadratic equation that could be solved - Ars Magna -written by Galileo -written in Italian -conversation between 3 people: -Salviati -Simplicio -Sagredo -best seller; not popular with church 3COPYRIGHT © 2025 BY SOPHIA BENNETT, ALL RIGHTS RESERVED -argument in favor or Copernican Theory -presented the model for Copernican Universe - Dialogue Concerning the Two Chief World Systems -wrote by Galileo -published in Holland -set out his scientific theory -dealt with projectile motion & acceleration due to gravity - Discourses and Mathematical Demonstrations Concerning Two New Sciences -wrote by Rene Decartes -an apendix to Discours de la methode -focused on mathematics - La Geometrie -most prolific of all mathematicians -mathematicians still look over his books -development in non-Euclidean geometry -made important discoveries in graph theory -introduced much o