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Elements Of Geometry Containing The First Six Books Of Euclid
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Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Book Synopsis Elements of Geometry, Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids, to which are Added, Elements of Plane and Spherical Trignonometry by : William Wallace
Download or read book Elements of Geometry, Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids, to which are Added, Elements of Plane and Spherical Trignonometry written by William Wallace and published by BoD – Books on Demand. This book was released on 2024-03-10 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1875.
Book Synopsis The First Six Books of the Elements of Euclid by : John Casey
Download or read book The First Six Books of the Elements of Euclid written by John Casey and published by . This book was released on 2019-08-05 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of the Elements of Euclid, undertaken at the request of the principalsof some of the leading Colleges and Schools of Ireland, is intended tosupply a want much felt by teachers at the present day-the production of awork which, while giving the unrivalled original in all its integrity, would alsocontain the modern conceptions and developments of the portion of Geometryover which the Elements extend. A cursory examination of the work will showthat the Editor has gone much further in this latter direction than any of hispredecessors, for it will be found to contain, not only more actual matter thanis given in any of theirs with which he is acquainted, but also much of a specialcharacter, which is not given, so far as he is aware, in any former work on thesubject. The great extension of geometrical methods in recent times has madesuch a work a necessity for the student, to enable him not only to read with advantage, but even to understand those mathematical writings of modern timeswhich require an accurate knowledge of Elementary Geometry, and to which itis in reality the best introduction
Book Synopsis Encounters with Euclid by : Benjamin Wardhaugh
Download or read book Encounters with Euclid written by Benjamin Wardhaugh and published by Princeton University Press. This book was released on 2023-11-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.
Book Synopsis Euclid's Elements of Geometry by : Euclid
Download or read book Euclid's Elements of Geometry written by Euclid and published by . This book was released on 2008 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: EUCLID'S ELEMENTS OF GEOMETRY, in Greek and English. The Greek text of J.L. Heiberg (1883-1885), edited, and provided with a modern English translation, by Richard Fitzpatrick.[Description from Wikipedia: ] The Elements (Ancient Greek: Στοιχεῖον Stoikheîon) is a mathematical treatise consisting of 13 books (all included in this volume) attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.
Book Synopsis The Thirteen Books of Euclid's Elements by : Euclid
Download or read book The Thirteen Books of Euclid's Elements written by Euclid and published by Createspace Independent Publishing Platform. This book was released on 2017-04-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.
Book Synopsis Euclid's Elements in Greek by : Richard Fitzpatrick
Download or read book Euclid's Elements in Greek written by Richard Fitzpatrick and published by Lulu.com. This book was released on 2006-03-01 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Euclid's Elements is the most famous mathematical work of classical antiquity, and has had a profound influence on the development of modern Mathematics and Physics. This volume contains the definitive Ancient Greek text of J.L. Heiberg (1883), together with an English translation. For ease of use, the Greek text and the corresponding English text are on facing pages. Moreover, the figures are drawn with both Greek and English symbols. Finally, a helpful Greek/English lexicon explaining Ancient Greek mathematical jargon is appended. Volume II contains Books 5-9, and covers the fundamentals of proportion, similar figures, and number theory.
Book Synopsis Euclid's Elements with Exercises Instructor's Copy by : Kathryn Goulding
Download or read book Euclid's Elements with Exercises Instructor's Copy written by Kathryn Goulding and published by . This book was released on 2017-09-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The instructor's edition of Euclid's Elements With Exercises is intended as a guide for anyone teaching Euclid for the first time. Although it could be used by anyone, it was assembled and written with small schools or homeschooling groups in mind. In addition to containing the first six books in exactly the format of the student edition (also available on Amazon), the instructor's edition provides a concise overview of the course, including suggestions for conducting the class, a discussion of the organization of the material, brief comments on supplemental and memory work, and other details about which a new instructor might have questions. It also has notes for the teacher on each of the six books of the Elements, notes on selected exercises, and an appendix explaining the basics of formal reasoning, including an explanation of the converse and contrapositive of a statement and the concept of an indirect proof, which occurs early in Book I. The primary difference between this work and Euclid's Elements as it is usually presented (aside from the fact that there are some exercises), is that, while all of Books I - VI are included in the book, some propositions are omitted in the main body of the text (all omitted propositions are in Appendix A). This was done in order to be able to finish in two semesters all the plane geometry that would normally be covered in a modern geometry class. It should be noted, of course, that the flow of logic of the propositions is never interrupted. This book was not designed for the purist. Although it is pure Euclid and contains all of the first six books, it may offend the sensibilities of some who love Euclid (as the assembler/author does) to fail to place Book II in the expected flow of the main body of the text. For anyone not under a time constraint, or anyone moving quickly through the text, the author strongly recommends the inclusion of Book II in the course flow.
Book Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne
Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.
Book Synopsis The King of Infinite Space by : David Berlinski
Download or read book The King of Infinite Space written by David Berlinski and published by Basic Books. This book was released on 2014-04-08 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over two thousand years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements. Berlinski shows that, for centuries, scientists and thinkers from Copernicus to Newton to Einstein have relied on Euclid's axiomatic system, a method of proof still taught in classrooms around the world. Euclid's use of elemental logic -- and the mathematical statements he and others built from it -- have dramatically expanded the frontiers of human knowledge. The King of Infinite Space presents a rich, accessible treatment of Euclid and his beautifully simple geometric system, which continues to shape the way we see the world.
Book Synopsis The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth ... Also the Book of Euclid's Data, in Like Manner Corrected by : Euclid
Download or read book The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth ... Also the Book of Euclid's Data, in Like Manner Corrected written by Euclid and published by . This book was released on 1817 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Thirteen Books of Euclid's Elements by : Thomas L. Heath
Download or read book The Thirteen Books of Euclid's Elements written by Thomas L. Heath and published by Cambridge University Press. This book was released on 2015-02-12 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1926, this book contains the final volume of a three-volume English translation of the thirteen books of Euclid's Elements.
Download or read book Euclid's Elements written by Euclid and published by . This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Euclid in Greek written by Euclid and published by CUP Archive. This book was released on 1920 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Point Is Which Has No Part by : Liz Waldner
Download or read book A Point Is Which Has No Part written by Liz Waldner and published by University of Iowa Press. This book was released on 2000-04 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Liz Waldner's bold new collection takes its title and its inspiration from Definition 1 of Euclid's Elements of Geometry. Its six sections—point, line, circle, square, triangle, and point again—are explorations of various kinds of longing and loss—sex, death, exile, story, love, and time. Drawing from culture high and low—Eno and Aquinas, Lassie and Donne, Silicon Valley and Walden Pond—these poems offer proof of and proof against the “mortal right-lined circle” of memory and identity. The innocence and Keatsian beauty of Euclid's geometry become poignant from a perspective that encompasses all that is non-Euclidean as well as space, time, and the theory of matter. With rare wit and linguistic daring, Waldner opens resonant channels of communication that show there is indeed more than meets the eye—or the mind—in her poems. Hand to Mouth (Twist and Shout) Cold comes slow up out of the darkness among the leaves that smell so good when bruised Do you, too, recognize me god so soon? Her First Reckoning Pour wine into vessels the violet of woods, wine of the reddening stars. You are god, you can do it. Your lover calls you St. John the Conqueror. I have heard her. This is the name of a root. Asperge the thousands and thousands of rooms in which photosynthesis promises sun to the acolyte cells. Rain yourself on a leaf. Birch. The bark is malleable as mushroom flesh. Show that you know me. Scratch out my name with this tree. My name of trees. On the day I arrive at the door of my death, myself now hard to tell from the trees that had hid it from me, I will demand that you love me. You made me like this. Why did you make me like this? Transitive, Intransitive: Extemporary Measures Two crows above the marsh: sew. Stitch the seventeen sleek shades of blue to the shadow-patterned greens below. See fit to make me a suitable view who having nowhere to else to go might as well wear this world well. Llama necks periscope the view: yonder, across the water, you testing the air now a crow chases a redwing blackbird through. What can I show you who sees I don't believe? For now, what the eye of the needle sees: through through through: clouds, birds, me, trees; soon: in, out, with, to; something moving, something moved: a stitch in time's an avenue, future's sutures' revenue— “the shining hour” improved.
Download or read book The Elements written by Euclid and published by . This book was released on 1947 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elements of Geometry by : S. Barnard
Download or read book Elements of Geometry written by S. Barnard and published by . This book was released on 2016-01-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key Features:* Euclid theorem given with substantive proofs.* Parallels and tangents are treated using Euclid methods.* Numerical arranged systematically from simple to more difficult.About the Book:This book contains all elements (including the parallel postulate and theaxioms) and the basic propositions of geometry. Details of Euclid'sdefinitions and its adaptation to explain various geometries have beenattempted thoroughly.