ORPP logo

Episodes in Nineteenth and Twentieth Century Euclidean Geometry. (Record no. 79870)

MARC details
000 -LEADER
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

No items available.

© 2024 Resource Centre. All rights reserved.