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| euclid contributions to math: Euclid's Elements Euclid, Dana Densmore, 2002 The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary --from book jacket. |
| euclid contributions to math: The Foundations of Geometry David Hilbert, 2015-05-06 This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis. |
| euclid contributions to math: Disquisitiones Arithmeticae Carl Friedrich Gauss, William C. Waterhouse, 2018-02-07 Carl Friedrich Gauss’s textbook, Disquisitiones arithmeticae, published in 1801 (Latin), remains to this day a true masterpiece of mathematical examination. . |
| euclid contributions to math: Euclid's Phaenomena J. L. Berggren, R. S. D. Thomas, 2019-05-29 Originally published in 1996, this book contains a translation and study of Euclid's Phaenomena, a work which once formed part of the mathematical training of astronomers from Central Asia to Western Europe. Included is an introduction that sets Euclid's geometry of the celestial sphere, and its application to the astronomy of his day, into its historical context for readers not already familiar with it. So no knowledge of astronomy or advanced mathematics is necessary for an understanding of the work. The book shows mathematical astronomy shortly before the invention of trigonometry, which allowed the calculation of exact results and the subsequent composition of Ptolemy's Almagest. This work and the (roughly) contemporaneous treatises of Autolycus and Aristarchos form a corpus of the oldest extant works on mathematical astronomy. Together with Euclid's Optics one has the beginnings of the history of science as an application of mathematics. |
| euclid contributions to math: Euclid Josette Campbell, Chris Hayhurst, 2015-07-15 Euclid, a Greek mathematician, flourished around 300 BCE. It was he who shaped geometry into what it is today. As a result, he became known as the father of geometry. Euclid founded his own school in Alexandria, Egypt, and gained a reputation as an exceptional geometry teacher. The Elements, his thirteen-volume treatise on mathematics and geometry, was considered to be one of the most influential mathematical works in history. Readers consider some of the definitions and postulates from this great work. They also learn about ancient Greek civilization and the renowned Greek mathematicians and philosophers who influenced Euclid's thinking. |
| euclid contributions to math: Geometry: Euclid and Beyond Robin Hartshorne, 2013-11-11 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. |
| euclid contributions to math: Euclid's Window Leonard Mlodinow, 2010-09-28 Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same. |
| euclid contributions to math: The Mathematics of Harmony Alexey Stakhov, 2009 Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science. |
| euclid contributions to math: The Father of Geometry Paul W. Hightower, 2010-07-01 A biography of ancient Greek mathematician Euclid, known as the father of geometry and author of the mathematics textbook Elements--Provided by publisher. |
| euclid contributions to math: The Mathematical World of Charles L. Dodgson (Lewis Carroll) Robin Wilson, Amirouche Moktefi, 2019-02-14 Charles Lutwidge Dodgson is best known for his 'Alice' books, Alice's Adventures in Wonderland and Through the Looking-Glass, written under his pen name of Lewis Carroll. Yet, whilst lauded for his work in children's fiction and his pioneering work in the world of Victorian photography, his everyday job was a lecturer in Mathematics at Christ Church, Oxford University. The Mathematical World of Charles L. Dodgson (Lewis Carroll) explores the academic background behind this complex individual, outlining his mathematical life, describing his writings in geometry, algebra, logic, the theory of voting, and recreational mathematics, before going on to discuss his mathematical legacy. This is the first academic work that collects the research on Dodgson's wide-ranging mathematical achievements into a single practical volume. Much material appears here for the first time, such as Dodgson's personal letters and drawings, as well as the results of recent investigations into the life and work of Dodgson. Complementing this are many illustrations, both historical and explanatory, as well as a full mathematical bibliography of Dodgson's mathematical publications. |
| euclid contributions to math: Euclid in Greek Euclid, 1920 |
| euclid contributions to math: Phaenomena Aratus (Solensis.), 2010-07 After the Iliad and the Odyssey, the Phaenomena was the most widely read poem in the ancient world. Its fame was immediate. It was translated into Latin by Ovid and Cicero and quoted by St. Paul in the New Testament, and it was one of the few Greek poems translated into Arabic -- BACK COVER. |
| euclid contributions to math: Advanced Euclidean Geometry Roger A. Johnson, 2013-01-08 This classic text explores the geometry of the triangle and the circle, concentrating on extensions of Euclidean theory, and examining in detail many relatively recent theorems. 1929 edition. |
| euclid contributions to math: Philosophy of Mathematics and Deductive Structure in Euclid's Elements Ian Mueller, 2006 A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes. |
| euclid contributions to math: A History of Non-Euclidean Geometry Boris A. Rosenfeld, 2012-09-08 The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered his famous lecture on his discovery of non-Euclidean geometry. The importance of the discovery of non-Euclidean geometry goes far beyond the limits of geometry itself. It is safe to say that it was a turning point in the history of all mathematics. The scientific revolution of the seventeenth century marked the transition from mathematics of constant magnitudes to mathematics of variable magnitudes. During the seventies of the last century there occurred another scientific revolution. By that time mathematicians had become familiar with the ideas of non-Euclidean geometry and the algebraic ideas of group and field (all of which appeared at about the same time), and the (later) ideas of set theory. This gave rise to many geometries in addition to the Euclidean geometry previously regarded as the only conceivable possibility, to the arithmetics and algebras of many groups and fields in addition to the arith metic and algebra of real and complex numbers, and, finally, to new mathe matical systems, i. e. , sets furnished with various structures having no classical analogues. Thus in the 1870's there began a new mathematical era usually called, until the middle of the twentieth century, the era of modern mathe matics. |
| euclid contributions to math: Abraham Lincoln and the Structure of Reason David Hirsch, Dan Van Haften, 2010-11-19 The secrets of one of history’s greatest orators are revealed in “one of the most stunningly original works on Abraham Lincoln to appear in years” (John Stauffer, professor of English and history, Harvard University). For more than 150 years, historians have speculated about what made Abraham Lincoln truly great. How did Lincoln create his compelling arguments, his convincing oratory, and his unforgettable writing? Some point to Lincoln’s study of grammar, literature, and poetry. Others believe it was the deep national crisis that gave import to his words. Most agree that he honed his persuasive technique in his work as an Illinois attorney. Here, the authors argue that it was Lincoln’s in-depth study of geometry that made the president’s verbal structure so effective. In fact, as the authors demonstrate, Lincoln embedded the ancient structure of geometric proof into the Gettysburg Address, the Cooper Union speech, the first and second inaugurals, his legal practice, and much of his substantive post-1853 communication. Also included are Lincoln’s preparatory notes and drafts of some of his most famous speeches as well as his revisions and personal thoughts on public speaking and grammar. With in-depth research and provocative insight, Abraham Lincoln and the Structure of Reason “offers a whole new angle on Lincoln’s brilliance” (James M. Cornelius, Curator, Lincoln Collection, Abraham Lincoln Presidential Library and Museum). |
| euclid contributions to math: Ptolemy's Almagest Ptolemy, 1998-11-08 Ptolemy's Almagest is one of the most influential scientific works in history. A masterpiece of technical exposition, it was the basic textbook of astronomy for more than a thousand years, and still is the main source for our knowledge of ancient astronomy. This translation, based on the standard Greek text of Heiberg, makes the work accessible to English readers in an intelligible and reliable form. It contains numerous corrections derived from medieval Arabic translations and extensive footnotes that take account of the great progress in understanding the work made in this century, due to the discovery of Babylonian records and other researches. It is designed to stand by itself as an interpretation of the original, but it will also be useful as an aid to reading the Greek text. |
| euclid contributions to math: Recipients, Commonly Called the Data Euclid, 1987-05 |
| euclid contributions to math: Pythagoras Christoph Riedweg, 2012-03-27 One of the most important mathematical theorems is named after Pythagoras of Samos, but this semi-mythical Greek sage has more to offer than formulas. He is said to have discovered the numerical nature of the basic consonances and transposed the musical proportions to the cosmos, postulating a harmony of the spheres. He may have coined the words cosmos and philosophy. He is also believed to have taught the doctrine of transmigration of souls and therefore to have advised a vegetarian diet. Ancient legends have Pythagoras conversing with dogs, bears, and bulls. A distinctly Pythagorean way of life, including detailed ritual regulations, was observed by his disciples, who were organized as a secret society. Later, Pythagorean and Platonic teachings became fused. In this Platonized form, Pythagoreanism has remained influential through medieval Christianity and the Renaissance down to the present. Christoph Riedweg's book is an engaging introduction to the fundamental contributions of Pythagoras to the establishment of European culture. To penetrate the intricate maze of lore and ascertain what history can tell us about the philosopher, Riedweg not only examines the written record but also considers Pythagoras within the cultural, intellectual, and spiritual context of his times. The result is a vivid overview of the life and teachings of a crucial Greek thinker and his most important followers. |
| euclid contributions to math: The Euclidean Division of the Canon Andrä Barbera, 1991-01-01 The Division of the Canon is an ancient Pythagorean treatise on the relationship between mathematical and acoustical truths. Euclidean in style, sectional in nature, and essentially Pythagorean, the Division has been susceptible to quotation since antiquity and has attracted the attention of many musicologists, classicists, mathematicians, and historians of science. |
| euclid contributions to math: The Non-Euclidean Revolution Richard J. Trudeau, 2008-01-21 Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. A portion of the book won the Pólya Prize, a distinguished award from the Mathematical Association of America. |
| euclid contributions to math: الكتاب المختصر فى حساب الجبر والمقابلة Muḥammad ibn Mūsá Khuwārizmī, 1831 |
| euclid contributions to math: Problems and Solutions in Euclidean Geometry M. N. Aref, William Wernick, 2010-01-01 Based on classical principles, this book is intended for a second course in Euclidean geometry and can be used as a refresher. Each chapter covers a different aspect of Euclidean geometry, lists relevant theorems and corollaries, and states and proves many propositions. Includes more than 200 problems, hints, and solutions. 1968 edition. |
| euclid contributions to math: What is Mathematics? Richard Courant, Herbert Robbins, 1996 The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not real understanding or greater intellectual independence. The new edition of this classic work seeks to address this problem. Its goal is to put the meaning back into mathematics. Lucid . . . easily understandable.--Albert Einstein. 301 linecuts. |
| euclid contributions to math: Euclid—The Creation of Mathematics Benno Artmann, 2012-12-06 Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors. |
| euclid contributions to math: Mathematical Thought From Ancient to Modern Times, Volume 1 Morris Kline, 1990-03-01 The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study. |
| euclid contributions to math: The Contents of the Fifth and Sixth Books of Euclid Euclides, Micaiah John Muller Hill, 1900 |
| euclid contributions to math: Emmy Noether 1882–1935 DICK, 2012-12-06 N 1964 at the World's Fair in New York I City one room was dedicated solely to mathematics. The display included a very at tractive and informative mural, about 13 feet long, sponsored by one of the largest com puter manufacturing companies and present ing a brief survey of the history of mathemat ics. Entitled, Men of Modern Mathematics, it gives an outline of the development of that science from approximately 1000 B. C. to the year of the exhibition. The first centuries of this time span are illustrated by pictures from the history of art and, in particular, architec ture; the period since 1500 is illuminated by portraits of mathematicians, including brief descriptions of their lives and professional achievements. Close to eighty portraits are crowded into a space of about fourteen square feet; among them, only one is of a woman. Her face-mature, intelligent, neither pretty nor handsome-may suggest her love of sci- 1 Emmy Noether ence and creative gift, but certainly reveals a likeable personality and a genuine kindness of heart. It is the portrait of Emmy Noether ( 1882 - 1935), surrounded by the likenesses of such famous men as Joseph Liouville (1809-1882), Georg Cantor (1845-1918), and David Hilbert (1862 -1943). It is accom panied by the following text: Emmy Noether, daughter of the mathemati cian Max, was often called Der Noether, as if she were a man. |
| euclid contributions to math: Euclidean Geometry in Mathematical Olympiads Evan Chen, 2021-08-23 This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class. |
| euclid contributions to math: Discovering Geometry Michael Serra, Key Curriculum Press Staff, 2003-03-01 |
| euclid contributions to math: Treatise on Conic Sections Apollonius (of Perga.), 1896 |
| euclid contributions to math: A history of Greek mathematics Thomas Little Heath, 1921-01-01 |
| euclid contributions to math: Math and the Mona Lisa Bulent Atalay, 2011-09-20 Leonardo da Vinci was one of history's true geniuses, equally brilliant as an artist, scientist, and mathematician. Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars. Bülent Atalay, a distinguished scientist and artist, examines the science and mathematics that underlie Leonardo's work, paying special attention to the proportions, patterns, shapes, and symmetries that scientists and mathematicians have also identified in nature. Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective. |
| euclid contributions to math: Journey Through Genius William Dunham, 1991-08 Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov |
| euclid contributions to math: Thomas Harriot's Artis Analyticae Praxis Muriel Seltman, Robert Goulding, 2007-05-09 This is the first English translation of Thomas Harriot’s seminal Artis Analyticae Praxis, first published in Latin in 1631. It has recently become clear that Harriot's editor substantially rearranged the work, and omitted sections beyond his comprehension. Commentary included with this translation relates to corresponding pages in the manuscript papers, enabling exploration of Harriot's novel and advanced mathematics. This publication provides the basis for a reassessment of the development of algebra. |
| euclid contributions to math: The Pythagorean Theorem Eli Maor, 2019-11-19 Frontmatter --Contents --List of Color Plates --Preface --Prologue: Cambridge, England, 1993 --1. Mesopotamia, 1800 BCE --Sidebar 1: Did the Egyptians Know It? --2. Pythagoras --3. Euclid's Elements --Sidebar 2: The Pythagorean Theorem in Art, Poetry, and Prose --4. Archimedes --5. Translators and Commentators, 500-1500 CE --6. François Viète Makes History --7. From the Infinite to the Infinitesimal --Sidebar 3: A Remarkable Formula by Euler --8. 371 Proofs, and Then Some --Sidebar 4: The Folding Bag --Sidebar 5: Einstein Meets Pythagoras --Sidebar 6: A Most Unusual Proof --9. A Theme and Variations --Sidebar 7: A Pythagorean Curiosity --Sidebar 8: A Case of Overuse --10. Strange Coordinates --11. Notation, Notation, Notation --12. From Flat Space to Curved Spacetime --Sidebar 9: A Case of Misuse --13. Prelude to Relativity --14. From Bern to Berlin, 1905-1915 --Sidebar 10: Four Pythagorean Brainteasers --15. But Is It Universal? --16. Afterthoughts --Epilogue: Samos, 2005 --Appendixes --Chronology --Bibliography --Illustrations Credits --Index. |
| euclid contributions to math: The First Six Books of the Elements of Euclid John Casey, 2019-08-05 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 |
| euclid contributions to math: A Mathematical History of the Golden Number Roger Herz-Fischler, 2013-12-31 This comprehensive study traces the historic development of division in extreme and mean ratio (the golden number) from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations. |
| euclid contributions to math: Theory of Parallels Nikolaj Ivanovič Lobačevskij, 2019-05-22 LOBACHEVSKY was the first man ever to publish a non-Euclidean geometry. Of the immortal essay now first appearing in English Gauss said, The author has treated the matter with a master-hand and in the true geometer's spirit. I think I ought to call your attention to this book, whose perusal cannot fail to give you the most vivid pleasure. Clifford says, It is quite simple, merely Euclid without the vicious assumption, but the way things come out of one another is quite lovely. * * * What Vesalius was to Galen, what Copernicus was to Ptolemy, that was Lobachevsky to Euclid. Says Sylvester, In Quaternions the example has been given of Algebra released from the yoke of the commutative principle of multiplication - an emancipation somewhat akin to Lobachevsky's of Geometry from Euclid's noted empirical axiom. Cayley says, It is well known that Euclid's twelfth axiom, even in Playfair's form of it, has been considered as needing demonstration; and that Lobachevsky constructed a perfectly consistent theory, where- in this axiom was assumed not to hold good, or say a system of non- Euclidean plane geometry. There is a like system of non-Euclidean solid geometry. GEORGE BRUCE HALSTED. 2407 San Marcos Street, Austin, Texas. * * * *From the TRANSLATOR'S INTRODUCTION. Prove all things, hold fast that which is good, does not mean demonstrate everything. From nothing assumed, nothing can be proved. Geometry without axioms, was a book which went through several editions, and still has historical value. But now a volume with such a title would, without opening it, be set down as simply the work of a paradoxer. The set of axioms far the most influential in the intellectual history of the world was put together in Egypt; but really it owed nothing to the Egyptian race, drew nothing from the boasted lore of Egypt's priests. The Papyrus of the Rhind, belonging to the British Museum, but given to the world by the erudition of a German Egyptologist, Eisenlohr, and a German historian of mathematics, Cantor, gives us more knowledge of the state of mathematics in ancient Egypt than all else previously accessible to the modern world. Its whole testimony con- firms with overwhelming force the position that Geometry as a science, strict and self-conscious deductive reasoning, was created by the subtle intellect of the same race whose bloom in art still overawes us in the Venus of Milo, the Apollo Belvidere, the Laocoon. In a geometry occur the most noted set of axioms, the geometry of Euclid, a pure Greek, professor at the University of Alexandria. Not only at its very birth did this typical product of the Greek genius assume sway as ruler in the pure sciences, not only does its first efflorescence carry us through the splendid days of Theon and Hypatia, but unlike the latter, fanatics cannot murder it; that dismal flood, the dark ages, cannot drown it. Like the phoenix of its native Egypt, it rises with the new birth of culture. An Anglo-Saxon, Adelard of Bath, finds it clothed in Arabic vestments in the land of the Alhambra. Then clothed in Latin, it and the new-born printing press confer honor on each other. Finally back again in its original Greek, it is published first in queenly Basel, then in stately Oxford. The latest edition in Greek is from Leipsic's learned presses. |
| euclid contributions to math: Euclid's Elements of Geometry Euclid, 2008 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. |
Euclid - Wikipedia
With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very …
Euclid | Biography, Contributions, Geometry, & Facts | Britannica
May 12, 2025 · Euclid, the most prominent mathematician of Greco-Roman antiquity, best known for his geometry book, the Elements. It is sometimes said that, other than the Bible, the …
EUCLID OF ALEXANDRIA – The Father of Geometry - The Story …
Euclid of Alexandria is often referred to as the “Father of Geometry”, and he wrote the most important mathematical book of all time.
Euclid Biography - Facts, Childhood, Family Life & Achievements
May 16, 2024 · Euclid was a renowned Greek mathematician, known as the ‘Father of Geometry’. This biography profiles his childhood, life, works, achievements and timeline.
Euclid summary | Britannica
Euclid , (flourished c. 300 bc, Alexandria, Egypt), Greek mathematician of antiquity, known primarily for his highly influential treatise on geometry, the Elements.
Euclid - Simple English Wikipedia, the free encyclopedia
Euclid of Alexandria (Greek: Εὐκλείδης) (about 325 BC–265 BC) was a Greek mathematician who lived in Alexandria, Egypt and worked at the Library of Alexandria. Little is known about this …
Euclid - New World Encyclopedia
Euclid (also referred to as Euclid of Alexandria) (Greek: Εὐκλείδης) (c. 325 B.C.E. – c. 265 B.C.E.), a Greek mathematician, who lived in Alexandria, Hellenistic Egypt, almost certainly …
Euclid (325 BC - Biography - MacTutor History of Mathematics
Euclid was a Greek mathematician best known for his treatise on geometry: The Elements. This influenced the development of Western mathematics for more than 2000 years. Euclid of …
Euclid Facts & Biography | Famous Mathematicians
Euclid was a Greek mathematician, known as Euclid of Alexandria, and often referred to as the “Father of Geometry.” In Greek, his name means “Good Glory,” as Euclid is the anglicized …
Euclid - math word definition - Math Open Reference
Euclid organized the known geometrical ideas, starting with simple definitions, axioms, formed statements called theorems, and set forth methods for logical proofs. He began with accepted …
Euclid - Wikipedia
With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very …
Euclid | Biography, Contributions, Geometry, & Facts | Britannica
May 12, 2025 · Euclid, the most prominent mathematician of Greco-Roman antiquity, best known for his geometry book, the Elements. It is sometimes said that, other than the Bible, the Elements is …
EUCLID OF ALEXANDRIA – The Father of Geometry - The Story of …
Euclid of Alexandria is often referred to as the “Father of Geometry”, and he wrote the most important mathematical book of all time.
Euclid Biography - Facts, Childhood, Family Life & Achievements
May 16, 2024 · Euclid was a renowned Greek mathematician, known as the ‘Father of Geometry’. This biography profiles his childhood, life, works, achievements and timeline.
Euclid summary | Britannica
Euclid , (flourished c. 300 bc, Alexandria, Egypt), Greek mathematician of antiquity, known primarily for his highly influential treatise on geometry, the Elements.
Euclid - Simple English Wikipedia, the free encyclopedia
Euclid of Alexandria (Greek: Εὐκλείδης) (about 325 BC–265 BC) was a Greek mathematician who lived in Alexandria, Egypt and worked at the Library of Alexandria. Little is known about this …
Euclid - New World Encyclopedia
Euclid (also referred to as Euclid of Alexandria) (Greek: Εὐκλείδης) (c. 325 B.C.E. – c. 265 B.C.E.), a Greek mathematician, who lived in Alexandria, Hellenistic Egypt, almost certainly during the reign …
Euclid (325 BC - Biography - MacTutor History of Mathematics
Euclid was a Greek mathematician best known for his treatise on geometry: The Elements. This influenced the development of Western mathematics for more than 2000 years. Euclid of …
Euclid Facts & Biography | Famous Mathematicians
Euclid was a Greek mathematician, known as Euclid of Alexandria, and often referred to as the “Father of Geometry.” In Greek, his name means “Good Glory,” as Euclid is the anglicized version …
Euclid - math word definition - Math Open Reference
Euclid organized the known geometrical ideas, starting with simple definitions, axioms, formed statements called theorems, and set forth methods for logical proofs. He began with accepted …
