{"product_id":"the-thirteen-books-of-the-elements-vol-1-volume-1-dover-books-on-mathematics-1","title":"Euclid: The Thirteen Books of the Elements, Vol. 1 (Dover Books on Mathematics)","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eAn unabridged and unaltered republication of the second edition [published in 1926]\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003eThis is the definitive edition of one of the very greatest classics of all time -- the full \u003cstrong\u003eEuclid\u003c\/strong\u003e, not an abridgement. Using the text established by Heiberg, Sir Thomas Heath encompasses almost 2,500 years of mathematical and historical study upon Euclid.\u003cbr\u003eThis unabridged republication of the original enlarged edition contains the complete English text of all 13 books of the\u003cspan\u003e \u003c\/span\u003e\u003ci\u003eElements,\u003cspan\u003e \u003c\/span\u003e\u003c\/i\u003eplus a critical apparatus that analyzes each definition, postulate, and proposition in great detail. It covers textual and linguistic matters; mathematical analyses of Euclid's ideas; classical, medieval, Renaissance, modern commentators; refutations, supports, extrapolations, reinterpretations, and historical notes, all given with extensive quotes.\u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003e\"The textbook that shall really replace Euclid has not yet been written and probably never will be.\" --\u003cspan\u003e \u003c\/span\u003e\u003ci\u003eEncyclopaedia Britannica.\u003c\/i\u003e\u003c\/p\u003e\n\u003cp\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003eVolume 1. 151-page Introduction: life and other works of Euclid; Greek and Islamic commentators; surviving mss., scholia, translations; bases of Euclid's thought. Books I and II of the\u003cspan\u003e \u003c\/span\u003e\u003ci\u003eElements\u003c\/i\u003e, straight lines, angles, intersection of lines, triangles, parallelograms, etc.\u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003eVolume 2. Books III-IX: Circles, tangents, segments, figures described around and within circles, rations, proportions, magnitudes, polygons, prime numbers, products, plane and solid numbers, series of rations, etc.\u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003eVolume 3. Books X to XIII: planes, solid angles, etc.; method of exhaustion in similar polygons within circles, pyramids, cones, cylinders, spheres, etc. Appendix: Books XIV, XV, sometimes ascribed to Euclid.\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cstrong\u003eTable of Contents\u003c\/strong\u003e\u003cspan\u003e:\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eVOLUME I.\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eINTRODUCTION.\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eFACSIMILE OF A PAGE OF THE BODLEIAN MS. OF THE ELEMENTS. Frontispiece\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eI. EUCLID AND THE TRADITIONS ABOUT HIM\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eII. EUCLID'S OTHER WORKS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eIII. GREEK COMMENTATORS OTHER THAN PROCLUS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eIV. PROCLUS AND HIS SOURCES\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eV. THE TEXT\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eVI. THE SCHOLIA\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eVII. EUCLID IN ARABIA\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eVIII. PRINCIPAL TRANSLATIONS AND EDITIONS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eIX.\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003e1. ON THE NATURE OF ELEMENTS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003e2. ELEMENTS ANTERIOR TO EUCLID'S\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003e3. \"FIRST PRINCIPLES: DEFINITIONS, POSTULATES AND AXIOMS\"\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003e4. THEOREMS AND PROBLEMS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003e5. THE FORMAL DIVISIONS OF A PROPOSITION\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003e6. OTHER TECHNICAL TERMS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003e7. THE DEFINITIONS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eTHE ELEMENTS.\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003e\"BOOK I. DEFINITIONS, POSTULATES, COMMON NOTIONS\"\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eNOTES ON DEFINITIONS ETC\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003ePROPOSITIONS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eBOOK II. DEFINITIONS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eNOTE ON GEOMETRICAL ALGEBRA\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003ePROPOSITIONS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eEXCURSUS I. PYTHAGORAS AND THE PYTHAGOREANS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eEXCURSUS II. POPULAR NAMES FOR EUCLIDEAN PROPOSITIONS\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eGREEK INDEX TO VOL. I.\u003c\/span\u003e\u003cbr\u003e\u003cspan\u003eENGLISH INDEX TO VOL. 1.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003eDover Publications\u003c\/p\u003e\n\u003cp\u003ePub date: \u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eJune 01, 1956\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003e\u003cmeta charset=\"utf-8\"\u003e1.0\" H x 8.4\" L x 5.5\" W \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003e\u003cmeta charset=\"utf-8\"\u003e464 pages\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003ePaperback\u003c\/span\u003e\u003cspan\u003e\u003c\/span\u003e\u003c\/p\u003e","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":44944239591610,"sku":"9780486600888","price":29.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0444\/2213\/5968\/files\/Euclid1.jpg?v=1750789610","url":"https:\/\/naturenurture.shop\/products\/the-thirteen-books-of-the-elements-vol-1-volume-1-dover-books-on-mathematics-1","provider":"nature+nurture","version":"1.0","type":"link"}