![]() Book 8 is about applications of geometry in mechanics the topics include geometric constructions made under restrictive conditions, for example, using a “rusty” compass stuck at a fixed opening. Book 6 is a student’s guide to several texts, mostly from the time of Euclid, on mathematical astronomy. ![]() Book 5, in the course of a treatment of polygons and polyhedra, describes Archimedes’ discovery of the semiregular polyhedra (solid geometric shapes whose faces are not all identical regular polygons). Book 4 concerns the properties of several varieties of spirals and other curved lines and demonstrates how they can be used to solve another classical problem, the division of an angle into an arbitrary number of equal parts. Book 3 contains a series of solutions to the famous problem of constructing a cube having twice the volume of a given cube, a task that cannot be performed using only the ruler-and-compass methods of Euclid’s Elements. Book 2 addresses a problem in recreational mathematics: given that each letter of the Greek alphabet also serves as a numeral (e.g., α = 1, β = 2, ι = 10), how can one calculate and name the number formed by multiplying together all the letters in a line of poetry. The Synagoge deals with an astonishing range of mathematical topics its richest parts, however, concern geometry and draw on works from the 3rd century bc, the so-called Golden Age of Greek mathematics. You will use math after graduation-for this quiz! See what you remember from school, and maybe learn a few new facts in the process. Nevertheless, such a range of topics is covered that the Synagoge has with some justice been described as a mathematical encyclopedia. The Synagoge seems to have been assembled in a haphazard way from independent shorter writings of Pappus. Book 1 is entirely lost, along with information on its contents. A complete version of Book 8 does survive, however, in an Arabic translation. The only Greek copy of the Synagoge to pass through the Middle Ages lost several pages at both the beginning and the end thus, only Books 3 through 7 and portions of Books 2 and 8 have survived. 340), a composition in at least eight books (corresponding to the individual rolls of papyrus on which it was originally written). His principal work, however, was the Synagoge (c. Pappus wrote several works, including commentaries on Ptolemy’s Almagest and on the treatment of irrational magnitudes in Euclid’s Elements. As a source of information concerning the history of Greek mathematics, he has few rivals. Pappus seldom claimed to present original discoveries, but he had an eye for interesting material in his predecessors’ writings, many of which have not survived outside of his work. Judging by the style of his writings, he was primarily a teacher of mathematics. Other than that he was born at Alexandria in Egypt and that his career coincided with the first three decades of the 4th century ad, little is known about his life. Pappus of Alexandria, (flourished ad 320), the most important mathematical author writing in Greek during the later Roman Empire, known for his Synagoge (“Collection”), a voluminous account of the most important work done in ancient Greek mathematics. SpaceNext50 Britannica presents SpaceNext50, From the race to the Moon to space stewardship, we explore a wide range of subjects that feed our curiosity about space!. ![]() Learn about the major environmental problems facing our planet and what can be done about them! Saving Earth Britannica Presents Earth’s To-Do List for the 21st Century.Britannica Beyond We’ve created a new place where questions are at the center of learning.100 Women Britannica celebrates the centennial of the Nineteenth Amendment, highlighting suffragists and history-making politicians.COVID-19 Portal While this global health crisis continues to evolve, it can be useful to look to past pandemics to better understand how to respond today.Student Portal Britannica is the ultimate student resource for key school subjects like history, government, literature, and more.This Time in History In these videos, find out what happened this month (or any month!) in history.#WTFact Videos In #WTFact Britannica shares some of the most bizarre facts we can find.Demystified Videos In Demystified, Britannica has all the answers to your burning questions.Britannica Explains In these videos, Britannica explains a variety of topics and answers frequently asked questions. ![]()
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