Episodes in Nineteenth and Twentieth Century Euclidean Geometry. (Record no. 79870)
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fixed length control field | 04008nam a22004453i 4500 |
001 - CONTROL NUMBER | |
control field | EBC3330417 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | MiAaPQ |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20240729125050.0 |
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
fixed length control field | m o d | |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
fixed length control field | cr cnu|||||||| |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 240724s1996 xx o ||||0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9780883859513 |
Qualifying information | (electronic bk.) |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
Canceled/invalid ISBN | 9780883856390 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (MiAaPQ)EBC3330417 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (Au-PeEL)EBL3330417 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (CaPaEBR)ebr10729388 |
035 ## - SYSTEM CONTROL NUMBER | |
System control number | (OCoLC)929120349 |
040 ## - CATALOGING SOURCE | |
Original cataloging agency | MiAaPQ |
Language of cataloging | eng |
Description conventions | rda |
-- | pn |
Transcribing agency | MiAaPQ |
Modifying agency | MiAaPQ |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
Classification number | QA471.H66 1995eb |
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 516.2 |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Honsberger, Ross. |
245 10 - TITLE STATEMENT | |
Title | Episodes in Nineteenth and Twentieth Century Euclidean Geometry. |
250 ## - EDITION STATEMENT | |
Edition statement | 1st ed. |
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Place of production, publication, distribution, manufacture | Providence : |
Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
Date of production, publication, distribution, manufacture, or copyright notice | 1996. |
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
Date of production, publication, distribution, manufacture, or copyright notice | ©1995. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 1 online resource (189 pages) |
336 ## - CONTENT TYPE | |
Content type term | text |
Content type code | txt |
Source | rdacontent |
337 ## - MEDIA TYPE | |
Media type term | computer |
Media type code | c |
Source | rdamedia |
338 ## - CARRIER TYPE | |
Carrier type term | online resource |
Carrier type code | cr |
Source | rdacarrier |
505 0# - FORMATTED CONTENTS NOTE | |
Formatted contents note | Cover -- Title page -- copyright page -- 1. Cleavers and Splitters -- 2. The Orthocenter -- 3. On Triangles -- 4. On Quadrilaterals -- Exercise Set 4 -- 5. A Property of Triangles -- 1. The Property -- 2. The Simson Line -- 3. The Proof of the Property (John Rigby) -- 4. A Corollary -- 5. A Property of Parabolas -- 6. The Fuhrmann Circle -- 7. The Symmedian Point -- Section 1 -- 2. Isogonal Lines and Points -- Exercise -- 3. The Symmedians and the Symmedian Point K -- 4. Applications and Further Developments -- References -- Exercise Set 7 -- 8. The Miquel Theorem -- Section 1 -- 2. The Theorem of Miquel -- 3. The Case of P_1, P_2, P_3 Collinear -- 4. Simson Lines -- 5. A Curious Angle Property -- 9. The Tucker Circles -- 1. Parallels and antiparallels -- 2. The Lemoine circles -- 3. The Tucker circles -- 4. The center of a Tucker circle lies on the line KO -- 5. The first Lemoine circle -- 6. The Taylor Circle -- Exercise Set 9 -- 10. The Brocards Points -- 1. The Brocard Points -- 2. The Brocard Angle -- Exercise -- Exercise -- 3. The Brocard Circle -- 4. The Brocard triangles -- 5. The Steiner point and the Tarry point -- 6. A property relating K, G, Omega, Omega' -- 11. The Orthopole -- Section 1 -- Section 2 -- 3. The Rigby Point -- Exercise -- 12. On Cevians -- 1. Ceva's Theorem -- Section 2 -- Section 3 -- 4. Haruki's Cevian theorem for circles -- 13. The Theorem of Menelaus -- Section 1 -- 2. Applications -- Suggested Reading -- Solutions to the Exercises -- 1. Cleavers and Splitters -- 2. The Orthocenter -- 3. On Triangles -- 4. On Quadrilaterals -- 7. The Symmedian Point -- 9. The Tucker Circles -- 11. The Orthopole -- Index. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | Euclidean geometry was worked out by Euclid and his predecessors more than 2300 years ago and is studied today mostly as a background to other branches of mathematics. In fact, however, as Professor Honsberger masterfully demonstrates, geometry in the style of Euclid is still alive and well.Mathematicians have again been studying the properties of geometric figures from a synthetic point of view and have discovered many new and unexpected results which Euclid himself never found. And since all of us have studied Euclidean geometry, at least the ancient version, this book is easily accessible. Exercises with their solutions are included in the book. |
588 ## - SOURCE OF DESCRIPTION NOTE | |
Source of description note | Description based on publisher supplied metadata and other sources. |
590 ## - LOCAL NOTE (RLIN) | |
Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Geometry, Projective. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Geometry. |
655 #4 - INDEX TERM--GENRE/FORM | |
Genre/form data or focus term | Electronic books. |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
Relationship information | Print version: |
Main entry heading | Honsberger, Ross |
Title | Episodes in Nineteenth and Twentieth Century Euclidean Geometry |
Place, publisher, and date of publication | Providence : American Mathematical Society,c1996 |
International Standard Book Number | 9780883856390 |
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
856 40 - ELECTRONIC LOCATION AND ACCESS | |
Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330417">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330417</a> |
Public note | Click to View |
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