{"title":"A B Poland","description":null,"products":[{"product_id":"famous-problems-in-geometry-and-how-to-solve-them-book-a-b-poland-9780486242972","title":"Famous Problems in Geometry and How to Solve Them","description":"It took two millennia to prove the impossible; that is, to prove it is not possible to solve some famous Greek problems in the Greek way (using only straight edge and compasses). In the process of trying to square the circle, trisect the angle and duplicate the cube, other mathematical discoveries were made; for these seemingly trivial diversions occupied some of history's great mathematical minds. Why did Archimedes, Euclid, Newton, Fermat, Gauss, Descartes among so many devote themselves to these conundrums? This book brings readers actively into historical and modern procedures for working the problems, and into the new mathematics that had to be invented before they could be solved.\u003cbr\u003eThe quest for the circle in the square, the trisected angle, duplicated cube and other straight-edge-compass constructions may be conveniently divided into three periods: from the Greeks, to seventeenth-century calculus and analytic geometry, to nineteenth-century sophistication in irrational and transcendental numbers. Mathematics teacher Benjamin Bold devotes a chapter to each problem, with additional chapters on complex numbers and analytic criteria for constructability. The author guides amateur straight-edge puzzlists into these fascinating complexities with commentary and sets of problems after each chapter. Some knowledge of calculus will enable readers to follow the problems; full solutions are given at the end of the book.\u003cbr\u003eStudents of mathematics and geometry, anyone who would like to challenge the Greeks at their own game and simultaneously delve into the development of modern mathematics, will appreciate this book. Find out how Gauss decided to make mathematics his life work upon waking one morning with a vision of a 17-sided polygon in his head; discover the crucial significance of eπi = -1, one of the most amazing formulas in all of mathematics. 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You will read about the lives of Horatius, Camillus, Caesar, Cicero, and many others. The biographies of Famous Men of Rome are in chronological order and the whole book will bring you through the three stages of Ancient Rome: monarchy, republic, and empire. Although women are not the famous individuals listed in the book, the notable women of the time definitely play roles in the stories. Famous Men of Rome is faithful to this vision of learning history through biography. The chapters cover 11 centuries, from the legendary founding of Rome to its slow unraveling in the early centuries after Christ. 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To support their good work, tredition donates a portion of the proceeds from each sold copy. As a reader of a TREDITION CLASICS book, you support our mission to save many of the amazing works of world literature from oblivion.\u003cp\u003eThis book is part of the TREDITION CLASICS series. The creators of this series are united by passion for literature and driven by the intention of making all public domain books available in printed format again - worldwide. At tredition we believe that a great book never goes out of style. Several mostly non-profit literature projects provide content to tredition. To support their good work, tredition donates a portion of the proceeds from each sold copy. 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The lawgivers of the Greek cities (\u003cb\u003eLycurgus, Draco, \u0026amp; Solon\u003c\/b\u003e) are profiled and the leaders who led the defense of Greece against the Persian invasion are covered (\u003cb\u003eMiltiades, Leonidas, \u0026amp; Themistocles\u003c\/b\u003e). \u003cbr\u003e The second half of the book covers the Greek classical period (\u003cb\u003ePericles, Alcibiades, \u0026amp; Socrates\u003c\/b\u003e) and finally, the age of\u0026gt;\u003cb\u003eAlexander the Great\u003c\/b\u003e (\u003cb\u003eDemosthenes, Aristotle, \u0026amp; Ptolemy\u003c\/b\u003e). \u003cbr\u003e Your fourth or fifth graders should be able to enjoy it independently, older students can read it as well and not feel like they have been given something that is babyish. \u003cbr\u003e The text includes a new preface by Rob \u0026amp; Cyndy Shearer, as well as an essay for Christian parents titled, \u003cb\u003e\u003ci\u003eWhat to do about Mythology?\u003c\/i\u003e\u003c\/b\u003e \u003cbr\u003e Note: The Greenleaf Press edition is\u0026gt;\u003cb\u003eNOT\u003c\/b\u003e identical to the 1904 edition, or to the editions reprinted by other publishers. 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The many thousands of books in our collection have been sourced from libraries and private collections around the world.The titles that Trieste Publishing has chosen to be part of the collection have been scanned to simulate the original. Our readers see the books the same way that their first readers did decades or a hundred or more years ago. Books from that period are often spoiled by imperfections that did not exist in the original. Imperfections could be in the form of blurred text, photographs, or missing pages. It is highly unlikely that this would occur with one of our books. Our extensive quality control ensures that the readers of Trieste Publishing's books will be delighted with their purchase. Our staff has thoroughly reviewed every page of all the books in the collection, repairing, or if necessary, rejecting titles that are not of the highest quality. This process ensures that the reader of one of Trieste Publishing's titles receives a volume that faithfully reproduces the original, and to the maximum degree possible, gives them the experience of owning the original work.We pride ourselves on not only creating a pathway to an extensive reservoir of books of the finest quality, but also providing value to every one of our readers. Generally, Trieste books are purchased singly - on demand, however they may also be purchased in bulk. Readers interested in bulk purchases are invited to contact us directly to enquire about our tailored bulk rates.\u003cp\u003eTrieste Publishing has a massive catalogue of classic book titles. Our aim is to provide readers with the highest quality reproductions of fiction and non-fiction literature that has stood the test of time. 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This process ensures that the reader of one of Trieste Publishing's titles receives a volume that faithfully reproduces the original, and to the maximum degree possible, gives them the experience of owning the original work.We pride ourselves on not only creating a pathway to an extensive reservoir of books of the finest quality, but also providing value to every one of our readers. Generally, Trieste books are purchased singly - on demand, however they may also be purchased in bulk. 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