21. Pappus Of Alexandria: Information From Answers.com pappus of alexandria pappus of alexandria is one of the most important mathematiciansof ancient Greek time, known for his work Synagoge or. http://www.answers.com/topic/pappus-of-alexandria

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Pappus of Alexandria Wikipedia Pappus of Alexandria Pappus of Alexandria is one of the most important mathematicians of ancient Greek time, known for his work Synagoge or Collection (c. He was born at Alexandria in Egypt . Although very little is known about his life, the written records suggest he was a teacher. Synagoge , his best-known work, is a compendium of mathematics of which eight volumes survive. It covers a wide range of topics, including geometry recreational mathematics doubling the cube polygons and polyhedra In geometry , there are several theorems that are known by the generic name Pappus's Theorem , attributing them to Pappus of Alexandria . They include: Pappus's centroid theorem the Pappus chain Pappus's harmonic theorem , and Pappus's hexagon theorem Reference Pappus of Alexandria Encyclop¦dia Britannica This entry is from Wikipedia, the leading user-contributed encyclopedia. It may not have been reviewed by professional editors (see Best of the Web Some good "Pappus of Alexandria" pages on the web: Math mathworld.wolfram.com

22. Pappus's Centroid Theorem: Information From Answers.com The theorem is also known as the Guldinus theorem, PappusGuldinus theorem orPappu s The theorem is attributed to pappus of alexandria and Paul Guldin. http://www.answers.com/topic/pappus-s-centroid-theorem

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Pappus's centroid theorem Wikipedia Pappus's centroid theorem Pappus's centroid theorem consists of two related theorems dealing with the surface areas and volumes of surfaces and solids of revolution . The theorem is also known as the Guldinus theorem Pappus-Guldinus theorem or Pappu's theorem The theorem is attributed to Pappus of Alexandria and Paul Guldin The first theorem The first theorem states that the surface area A of a surface of revolution generated by rotating a plane curve C about an axis external to C and on the same plane is equal to product of the arc length s of C and the distance d traveled by its centroid For example, the surface area of the torus with minor radius r and major radius R is The second theorem The second theorem states that the volume V of a solid of revolution generated by rotating a plane figure F about an external axis is equal to the product of the area A of F and the distance d traveled by its geometric centroid.

23. Pappus Of Alexandria - Wikipedia, The Free Encyclopedia pappus of alexandria is one of the most important mathematicians of ancient Greektime, known for his work Synagoge or Collection (c. 340). http://en.wikipedia.org/wiki/Pappus_of_Alexandria

Wikimedia needs your help in the final days of its fund drive. See our fundraising page The Red Cross and other charities also need your help. Pappus of Alexandria From Wikipedia, the free encyclopedia. Pappus of Alexandria is one of the most important Greek mathematicians of antiquity, known for his work Synagoge or Collection (c. He was born at Alexandria in Egypt . Although very little is known about his life, the written records suggest he was a teacher. Synagoge , his best-known work, is a compendium of mathematics of which eight volumes survive. It covers a wide range of topics, including geometry recreational mathematics doubling the cube polygons and polyhedra In geometry , there are several theorems that are known by the generic name Pappus's Theorem , attributing them to Pappus of Alexandria . They include: Pappus's centroid theorem the Pappus chain Pappus's harmonic theorem , and Pappus's hexagon theorem This biographical article about a mathematician is a stub . You can help Wikipedia by expanding it edit Reference Pappus of Alexandria Encyclop¦dia Britannica Retrieved from " http://en.wikipedia.org/wiki/Pappus_of_Alexandria

24. Pappus's Hexagon Theorem - Wikipedia, The Free Encyclopedia Pappus s hexagon theorem (attributed to pappus of alexandria) states that givenone set of collinear points A, B, C, and another set of collinear points a, http://en.wikipedia.org/wiki/Pappus's_hexagon_theorem

Wikimedia needs your help in the final days of its fund drive. See our fundraising page The Red Cross and other charities also need your help. Pappus's hexagon theorem From Wikipedia, the free encyclopedia. Pappus's hexagon theorem (attributed to Pappus of Alexandria ) states that given one set of collinear points A B C , and another set of collinear points a b c , then the intersection points x y z of line pairs Ab and aB Ac and aC Bc and bC are collinear. ( Collinear means the points are incident on a line.) The dual of this theorem states that given one set of concurrent lines A B C , and another set of concurrent lines a b c , then the lines x y z defined by pairs of points resulting from pairs of intersections A b and a B A c and a C B c and b C are concurrent. A generalization of this theorem is Pascal's theorem , which was discovered by Blaise Pascal at the age of 16. Contents Proof of Pappus's hexagon theorem First restatement Second restatement Third restatement ... edit Proof of Pappus's hexagon theorem Figure 2 (click to enlarge). A tangled-up hexagon whose sides belong to the lines U-Z-Y-W-X-V. Let there be six lines on a projective plane U V W X Y , and Z . Then the theorem can be stated thus: If (1) the points equal to the intersections of U with V X with W , and Y with Z are collinear

25. Pappus Of Alexandria pappus of alexandria is one of the most important mathematicians of ancient Greektime, known for his work pappus of alexandria Encyclop¦dia Britannica http://www.algebra.com/algebra/about/history/Pappus-of-Alexandria.wikipedia

Pappus of Alexandria Regular View Dictionary View (all words explained) Algebra Help my dictionary with pronunciation , wikipedia etc Wikimedia needs your help in the final days of its fund drive. See our fundraising page The Red Cross and other charities also need your help. Pappus of Alexandria Pappus of Alexandria is one of the most important Greek mathematicians of antiquity, known for his work Synagoge or Collection (c. He was born at Alexandria in Egypt . Although very little is known about his life, the written records suggest he was a teacher. Synagoge , his best-known work, is a compendium of mathematics of which eight volumes survive. It covers a wide range of topics, including geometry recreational mathematics doubling the cube polygons and polyhedra In geometry , there are several theorems that are known by the generic name Pappus's Theorem , attributing them to Pappus of Alexandria . They include: Pappus's centroid theorem the Pappus chain Pappus's harmonic theorem , and Pappus's hexagon theorem This biographical article about a mathematician is a stub . You can help Wikipedia by expanding it Reference Pappus of Alexandria Encyclop¦dia Britannica Retrieved from " http://en.wikipedia.org/wiki/Pappus_of_Alexandria

26. Pappus Of Alexandria (lived C. A.D. 300) pappus of alexandria (lived cAD 300) In this compendium, Pappus added aconsiderable number of his own explanations and amplifications of the earlier http://www.daviddarling.info/encyclopedia/P/Pappus.html

Return to The Worlds of David Darling INDEX LATEST NEWS ARCHIVE ... Z entire Web this site Pappus of Alexandria (lived c. A.D. 300) The last of the great Greek geometers whose eight-volume Mathematical Collection summarized the bulk of mathematics known at that time. In this compendium, Pappus added a considerable number of his own explanations and amplifications of the earlier work of Euclid Archimedes Apollonius , and others. BACK TO TOP var site="s13space1234"

27. Pappus Of Alexandria - Definition Of Pappus Of Alexandria In Encyclopedia pappus of alexandria is one of the most important mathematicians of ancient Greektime, known for his work Synagoge (“Collection”).He was born at Alexandria http://encyclopedia.laborlawtalk.com/Pappus_of_Alexandria

Add to Favorites General Encyclopedia Legal ... Law forum Search Word: Visit our Law forums Labor Law Accidents Law Bankruptcy Law Business Law ... Tax Law Pappus of Alexandria is one of the most important mathematicians of ancient Greek time, known for his work Synagoge He was born at Alexandria of Egypt. Although very little is known about his life, the written records suggest he was a teacher. His principal work is known as the Synagoge (c. 340). Comprising of at least eight volumes while the rest were lost, the collection covers a wide range of mathematical topics, including geometry recreational mathematics , constructing a cube having twice the volume of a given cube, polygons and polyhedra. In geometry , there are several theorems that are known by the generic name Pappus's Theorem , attributing them to Pappus of Alexandria . They include: Pappus's centroid theorem the Pappus chain Pappus's harmonic theorem , and Pappus's hexagon theorem This article is a stub . You can help Wikipedia by expanding it Reference Pappus of Alexandria Encyclopædia Britannica This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article "Pappus_of_Alexandria"

28. TMTh:: PAPPUS OF ALEXANDRIA pappus of alexandria (fl. c. 300 century AD AD). Life pappus of alexandria wasa mathematician and the author of commentaries on Euclid and Ptolemy and of a http://www.tmth.edu.gr/en/aet/5/74.html

Home Ancient Greek Scientists AGRICULTURALISTS ARCHITECTS ... PHYSICISTS MATHEMATICIAN, GEOGRAPHER, ENGINEER PAPPUS OF ALEXANDRIA (fl. c. 300 century AD AD) Life Pappus of Alexandria was a mathematician and the author of commentaries on Euclid and Ptolemy and of a work on universal geography, much of which is now lost. He lived in Alexandria during the reign of Diocletian, and his writings inspired much later work. Work These were: "Mathematical Collection": A vast work in 8 books, this was the last great treatise on mathematics of the Alexandrian age. All but the first and part of the second book have survived. An invaluable record of the mathematical accomplishments of the ancient Greek world, it contains a systematic account of the principal theorems in arithmetic, geometry, astronomy and mechanics, with commentaries, improvements and alterations, as well as original material. Book 3 contains problems in plane and solid geometry, including the famous "Delian problem" of finding two mean proportionals between two given lines; it studies the 10 kinds of means, giving examples of each, and develops the theory of regular solids. Book 4 contains, besides studies of various curves, an account of the three classical problems (the squaring of the circle, the duplication of the cube, and the trisection of an angle). It also contains a generalisation of the theorem of Pythagoras on right-angled triangles.

29. Pappus Of Alexandria - Book 7 Of The Collection-Springer Mathematics (general) B I found pappus of alexandria Book 7 of the Collection by Jones, A.at springeronline.com and thought you would be interested in this title. http://www.springeronline.com/sgw/cda/frontpage/0,11855,5-10042-72-1325825-0,00.

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30. BMCR-L: BMCR 2002.03.31, Serafina Cuomo, Pappus Of Alexandria And The Serafina Cuomo, pappus of alexandria and the Mathematics of Late Antiquity.Cambridge Cambridge University Press, 2000. Pp. x + 234. ISBN 0521-64211-6. http://omega.cohums.ohio-state.edu/mailing_lists/BMCR-L/2002/0077.php

The Department of Greek and Latin at The Ohio State University Home Who we are People Graduate Studies ... Site Map BMCR 2002.03.31, Serafina Cuomo, Pappus of Alexandria and the Date view Thread view Subject view Author view ... Attachment view owner-bmcrlist-l_at_brynmawr.edu Date: Next message: owner-bmcrlist-l_at_brynmawr.edu: "BMCR 2002.03.33, Michael Crudden, The Homeric Hymns" Previous message: owner-bmcrlist-l_at_brynmawr.edu: "BMCR 2002.03.29, Penelope Walton Rogers, The Roman Textile" Bryn Mawr Classical Review 2002.03.31 Serafina Cuomo, Pappus of Alexandria and the Mathematics of Late Antiquity. Cambridge: Cambridge University Press, 2000. Pp. x + 234. ISBN 0-521-64211-6. $59.95. Reviewed by Alan C. Bowen, Institute for Research in Classical Philosophy and Science (Princeton) (acbowen@Princeton.edu) Word count: 1922 words The argument opens with an attempt to define the range of ancient professions that had an interest in mathematics at some level, in the hope of showing that there was a living background or setting for Pappus' work. As Cuomo would have it, this requires determining who saw their work and expertise as having anything to do with mathematics, and whether they used this connection to construct their professional self-image and demarcate their expertise from that of others. This is a distinct project pursued only in the first chapter of Cuomo's book and, so far as I am aware, it is new one for historians of mathematics. Indeed, I suspect that fully carried out this project would constitute an important book by itself.

31. Pappus Of Alexandria Free Essays & Term Papers pappus of alexandria Free Essays, Term Papers and book reports. Thousands ofpapers to select from all free. http://www.freeessays123.com/essay5217/pappusofalexandria.html

KEYWORDS : Acceptance Essays Arts Business English ... Member Login Pappus of Alexandria - Free Essays / Term Papers Pappus was born in approximately 920 in Alexandria, Egypt. He was the last of the great Greek geometers and one of his major theorems is considered to be the basis of modern projective geometry ("Pappus"). Pappus flourished in the fourth century, writing his key work, the Mathematical Collection, as a guide to Greek geometry ("Biography"). In this work, Pappus discusses theorems and constructions of over thirty mathematicians including Euclid, Archimedes and Ptolemy ("Biography"), providing alternatives of proofs and generalizing theorems. The Collection is a handbook to all of Greek geometry and is now almost the sole source of history of that science (Thomas 564). The separate books of the Collection were divided by Pappus into numbered sections. In the fourth section, Pappus dis...... Word Count: 648 Page Count: 2.5 (250 words a page / double spaced) View Instantly: Get instant access to this paper along with 20,000+ other term papers, essays, and book reports Only $9.99 View Essay Free: To view the entire essay of Pappus of Alexandria , you must donate an original essay of your own to our web site so that we can grow our collection of free essays book reports and term papers View the entire Pappus of Alexandria essay / term paper for FREE Other Free Essays and Term Papers Palestinian Liberation Organization Occupation of Japan Non-Classical Civilizations are our Greatest Influence Nazism and World War II ... Native Americans Want Your Link Here? We have PR5/PR6 links available for swap.

32. Pappus Of Alexandria Biography pappus of alexandria biography and related resources. http://www.biographybase.com/biography/Pappus_of_Alexandria.html

Biography Base Home Link To Us Search Biographies: Browse Biographies A B C D ... Z Pappus of Alexandria Biography Pappus of Alexandria is one of the most important mathematicians of ancient Greek time, known for his work Synagoge (“Collection”). He was born at Alexandria of Egypt. Although very little is known about his life, the written records suggest he was a teacher. His principal work is known as the Synagoge (c. 340). Comprising of at least eight volumes while the rest were lost, the collection covers a wide range of mathematical topics, including geometry, recreational mathematics, constructing a cube having twice the volume of a given cube, polygons and polyhedra. In geometry, there are several theorems that are known by the generic name Pappus's Theorem, attributing them to Pappus of Alexandria. They include: Pappus's centroid theorem, the Pappus chain, Pappus's harmonic theorem, and Pappus's hexagon theorem. Pappus of Alexandria Resources Contact Us Sitemap This article is licensed under the GNU Free Documentation License . It uses material from the Wikipedia article Pappus of Alexandria

33. Read About Pappus Of Alexandria At WorldVillage Encyclopedia. Research Pappus Of pappus of alexandria. Everything you wanted to know about pappus of alexandriabut had no clue how to find it.. Learn about pappus of alexandria here! http://encyclopedia.worldvillage.com/s/b/Pappus

Culture Geography History Life ... WorldVillage Pappus of Alexandria From Wikipedia, the free encyclopedia. (Redirected from Pappus Pappus of Alexandria is one of the most important mathematicians of ancient Greek time, known for his work Synagoge He was born at Alexandria in Egypt . Although very little is known about his life, the written records suggest he was a teacher. His principal work is known as the Synagoge (c. ). Comprising of at least eight volumes while the rest were lost, the collection covers a wide range of mathematical topics, including geometry recreational mathematics , constructing a cube having twice the volume of a given cube, polygons and polyhedra. In geometry , there are several theorems that are known by the generic name Pappus's Theorem , attributing them to Pappus of Alexandria . They include: Pappus's centroid theorem the Pappus chain Pappus's harmonic theorem , and Pappus's hexagon theorem This biographical article about a mathematician is a stub . You can help Smartpedia by expanding it http://en.wikipedia.orghttp://encyclopedia.worldvillage.com/s/b/Pappus_of_Alexandria edit Reference Pappus of Alexandria Encyclopædia Britannica Retrieved from " http://en.wikipedia.org/s/b/Pappus_of_Alexandria

34. Pappus pappus of alexandria, lived c. AD 300350 (The Hutchinson Dictionary of ScientificBiography) pappus of alexandria (The Hutchinson Encyclopedia) http://www.infoplease.com/ce6/people/A0837548.html

in All Infoplease Almanacs Biographies Dictionary Encyclopedia Daily Almanac for Sep 7, 2005 Skip Navigation Home Almanacs ... Word of the Day Editor's Favorites Back to School Hurricanes Daylight Saving Time Energy Consumption ... Mississippi Infoplease Tools Periodic Table Conversion Tool Perpetual Calendar Year by Year ... Site Map College Center Scholarship Search College Resources Career Center Job Search Post Your Resume Continuing Ed. more . . . Search: Infoplease Info search tips Search: Biographies Bio search tips google_ad_client = 'pub-1894504138907931'; google_ad_width = 120; google_ad_height = 240; google_ad_format = '120x240_as'; google_ad_type = 'text'; google_ad_channel =''; google_color_border = ['336699','B4D0DC','DFF2FD','B0E0E6']; google_color_bg = ['FFFFFF','ECF8FF','DFF2FD','FFFFFF']; google_color_link = ['0000FF','0000CC','0000CC','000000']; google_color_url = ['008000','008000','008000','336699']; google_color_text = ['000000','6F6F6F','000000','333333']; Encyclopedia Pappus u s] Pronunciation Key Pappus , fl. c.300, Greek mathematician of Alexandria. He recorded and enlarged on the results of his predecessors, including Euclid and Apollonius of Perga, in his Mathematical Collection Almagest.

35. Allmath.com - Math Site For Kids! Home Of Flashcards, Math pappus of alexandria. (4thc). Greek mathematician, whose eight-bookSynagoge (Collection) is extant in an incomplete form. Some of our knowledge ofancient http://www.allmath.com/biosearch.php?QMeth=ID&ID=24174

36. PAPPUS Of ALEXANDRIA (300? - 350) pappus of alexandria (300? 350). Commentaria in Libros Octo Mathematicarum pappus of alexandria was a Greek mathematician, astronomer and geographer http://www.scs.uiuc.edu/~mainzv/exhibitmath/exhibit/pappus.htm

Number Theory for the Millenium University of Illinois at Urbana-Champaign Rare Book Room Exhibit PAPPUS of ALEXANDRIA (300? - 350). Commentaria in Libros Octo Mathematicarum Collectionum Pappi Alexandrini . Pisa: 1602. Pappus of Alexandria was a Greek mathematician, astronomer and geographer whose importance lies in his commentaries on the mathematical work of his predecessors. He stands with Diophantus as the last of the long line of Alexandrian mathematicians. Many calculus students study the "Theorems of Pappus", which compute the surface area and volume of space regions bound by a curve rotated about an axis. Remarkably, these were originally discovered and proved without the use of calculus. (As an example of such a geometrical object, a recumbent bagel may be thought of as a standing circle rotated around a central vertical line). Small - 220 KB Large - 807 KB Small - 146 KB Large - 474 KB

37. Bryn Mawr Classical Review 2002.03.31 Serafina Cuomo, pappus of alexandria and the Mathematics of Late Antiquity.Cambridge Cambridge University Press, 2000. Pp. x + 234. ISBN 0521-64211-6. http://ccat.sas.upenn.edu/bmcr/2002/2002-03-31.html

Bryn Mawr Classical Review 2002.03.31 Serafina Cuomo, Pappus of Alexandria and the Mathematics of Late Antiquity . Cambridge: Cambridge University Press, 2000. Pp. x + 234. ISBN 0-521-64211-6. $59.95. Reviewed by Alan C. Bowen, Institute for Research in Classical Philosophy and Science, Princeton (acbowen@Princeton.edu) Word count: 1922 words As it is typically practiced today, the history of ancient Greek mathematics is a history of results and the resources or techniques used to get them, and, when its practitioners do attempt to write about the historical circumstances of the ideas they study, too often they fallaciously confuse their logical reconstructions with past realia . The reason for this, I suspect, is not just that many of the source materials available lack any information about their authors and settingsand so by their nature would seem to direct our attention to results and deductive structure alonebut that many historians of mathematics have not fully separated their subject from mathematics proper. Fortunately, there are recent signs of a major change in how the history of Greek mathematics is to be written. Reviel Netz, for instance, has brought to light valuable information about the cognitive practices constituting what it meant to do mathematics in antiquity by paying close attention to the language in which ancient mathematical argumentation is expressed and the role of diagrams. Serafina Cuomo would have us move even farther from previous work in the field by interpreting ancient mathematical output as a product of human activity with intellectual and social agendas and contexts. The work she analyzes in her excellent book is the

38. Math Forum: People (Chameleon Graphing: Plane History) pappus of alexandria. Pappus was born in Alexandria, Egypt around 290 AD. He wrotea book called the Synagoge or Collection which included sections on most http://mathforum.org/cgraph/history/people.html

Plane History Chameleon Home Ask Dr. Math Chameleon Home ... For Adults People Maria Gaetana Agnesi Apollonius of Perga Aristotle Christopher Columbus ... James Joseph Sylvester Maria Gaetana Agnesi Maria Gaetana Agnesi was born in the city of Milan on May 16, 1718. (Today Milan is part of Italy.) Agnesi was the oldest of twenty-one children. As a child she studied Latin and mathematics. Later she wrote a calculus textbook in Italian that included a curve now called the Witch of Agnesi . After her father died in 1752, Agnesi started a home for old and sick women. She spent all of her time and money working there. Agnesi died in Milan on January 9, 1799. Apollonius of Perga Apollonius was born in Perga around 262 BC. (Perga was a Greek city in what is now Turkey.) As a young man, Apollonius traveled to the great library at Alexandria. He also visited the city of Pergamum, which had another important library. Apollonius studied astronomy and geometry. He wrote several books, including the Conics. Apollonius died in Alexandria around 190 BC. Back to Top Aristotle Aristotle was born in 384 BC in the city of Stagirus in northern Greece. When he was seventeen, Aristotle traveled to Athens to study at the Academy run by the philosopher Plato. Later Aristotle became the tutor of Alexander the Great. Later Alexander helped Aristotle found his own school. Aristotle wrote books on astronomy, physics, geology, and other types of science, as well as politics and logic. Though he was not as interested in mathematics, many of his students were. Aristotle died in 322 BC in the Greek city of Chalcis, where his mother had been born.

39. Read This: Briefly Noted pappus of alexandria and the Mathematics of Late Antiquity, by S. Cuomo.Cambridge University Press, 2000. Hardcover, 234pp., $59.95. ISBN 0521642116. http://www.maa.org/reviews/brief_jun00.html

Read This! The MAA Online book review column Briefly Noted June 2000 The New Mathematical Library is one of MAA's most successful series, and it has been publishing problem books almost since the beginning. Volume five in the Library was The Contest Problem Book I , containing problems from high school mathematics competitions, 1950-1960. Many years later, here we have the 40th entry in the New Mathematical Library and the sixth Contest Problem Book . This one collects problems that were part of the American High School Mathematics Examinations (AHSME) between 1989 and 1994, "compiled and augmented" by Leo J. Schneider. The first part of the book is all business: each of the (multiple choice) examinations is included, followed by a list of answers which includes the distribution of responses on the exam and some brief comments on "the distractors," that is, the wrong answers in the multiple choice questions. The second part of the book is the real meat: full solutions of all the problems in each of the examinations. In the back of the book, three short chapters offer some insider's information on the problems, some hints on solving problems for mathematics examinations, and a classification of the problems by subject. Anyone working with high school students needs this book, and many of us who teach undergraduates will find that some of these problems will stump our students too. (Fernando Q. Gouvêa)

40. Read This: Geometry: Our Cultural Heritage Archytas, Euclid, Archimedes, Eratosthenes, Nicomedes, Apollonius, Heron ofAlexandria, Menelaus of Alexandria, Claudius Ptolemy, pappus of alexandria, http://www.maa.org/reviews/holmegeom.html

Read This! The MAA Online book review column Geometry: Our Cultural Heritage by Audun Holme Reviewed by Mihaela Poplicher This is a wonderful book based on lectures on geometry given by the author to undergraduate students at the University of Bergen, Norway. The book is intended both for the use of undergraduate students (especially future teachers of mathematics) and for the informed public interested to learn more about geometry viewed as part of our "cultural heritage." To attain this goal, the author divided the text in two distinct parts, very different and at the same time very well connected to each other. Part 1 is called "A Cultural Heritage" and contains material usually not included in a mathematical book; it is not a history of geometry, but it refers to some stories and historical connections with the goal of explaining the beginnings, "the roots of the themes to be treated in Part 2." Although this first part of the book is intended for the general public, it has some rigorous mathematical treatments (many of them not quite complete). Certainly the "walk through geometry" offered by this first part of the book is very interesting and fun to read and provides a very appealing and concise view of the development of geometry, without using many deep mathematical arguments (which might discourage a reader not interested too much in the rigorous mathematical treatment of geometry.) Part 2, "Introduction to Geometry", is a true mathematics textbook that develops geometry beginning with Euclid's postulates and ending with fractal geometry and catastrophe theory. It has 12 chapters: "Axiomatic Geometry", "Axiomatic Projective Geometry", "Models for Non-Euclidean Geometry", "Making Things Precise", "Projective Space", "Geometry in the Affine and the Projective Plane", "Algebraic Curves of Higher Degrees in the Affine Plane ", "Higher Geometry in the Projective Plane", "Sharpening the Sword of Algebra", "Construction with Straightedge and Compass", "Fractal Geometry", "Catastrophe Theory."

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