Geometry Revisited. (Record no. 79847)
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| 000 -LEADER | |
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| fixed length control field | 04097nam a22004933i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3330394 |
| 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 | 240724s1967 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780883859346 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780883856192 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3330394 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3330394 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10729365 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)929120235 |
| 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 | QA445.C69 1967eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | S., H. |
| 245 10 - TITLE STATEMENT | |
| Title | Geometry Revisited. |
| 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 | 1967. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1967. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (209 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 |
| 490 1# - SERIES STATEMENT | |
| Series statement | Anneli Lax New Mathematical Library ; |
| Volume/sequential designation | v.19 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Front cover -- Copyright Page -- Preface -- Contents -- Chapter 1. Points and Lines Connected with a Triangle -- 1.1 The extended Law of Sines -- 1.2 Ceva's theorem -- 1.3 Points of interest -- 1.4 The incircle and excircles -- 1.5 The Steiner-Lehmus theorem -- 1.6 The orthic triangle -- 1.7 The medial triangle and Euler line -- 1.8 The nine-point Circle -- 1.9 Pedal triangles -- Chapter 2. Some Properties of Circles -- 2.1 The power of a point with respect to a circle -- 2.2 The radical axis of two circles -- 2.3 Coaxal circles -- 2.4 More on the altitudes and orthocenter of a triangle -- 2.5 Simson lines -- 2.6 Ptolemy's theorem and its extension -- 2.7 More on Simson lines -- 2.8 The Butterfly -- 2.9 Morley's theorem -- Chapter 3. Collinearity and Concurrence -- 3.1 Quadrangles -- Varignon's theorem -- 3.2 Cyclic quadrangles -- Brahmagupta's formula -- 3.3 Napoleon triangles -- 3.4 Menelaus's theorem -- 3.5 Pappus's theorem -- 3.6 Perspective triangles -- Desargues's theorem -- 3.7 Hexagons -- 3.8 Pascal's theorem -- 3.9 Brianchon's theorem -- Chapter 4. Transformations -- 4.1 Translation -- 4.2 Rotation -- 4.3 Half-turn -- 4.4 Reflection -- 4.5 Fagnano's problem -- 4.6 The three jug problem -- 4.7 Dilatation -- 4.8 Spiral similarity -- 4.9 A genealogy of transformations -- Chapter 5. An Introduction to Inversive Geometry -- 5.1 Separation -- 5.2 Cross ratio -- 5.3 Inversion -- 5.4 The inversive plane -- 5.5 Orthogonality -- 5.6 Feuerbach's theorem -- 5.7 Coaxal circles -- 5.8 Inversive distance -- 5.9 Hyperbolic functions -- Chapter 6. An Introduction to Projective Geometry -- 6.1 Reciprocation -- 6.2 The polar circle of a triangle -- 6.3 Conics -- 6.4 Focus and directrix -- 6.5 The projective plane -- 6.6 Central conics -- 6.7 Stereographic and gnomonic projection -- Hints and Answers to Exercises -- References -- Glossary -- Index. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Back Cover. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley's remarkable theorem on angle trisectors. The transformational point of view is emphasized: reflections, rotations, translations, similarities, inversions, and affine and projective transformations. Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed. |
| 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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Greitzer, S. L. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | S., H. |
| Title | Geometry Revisited |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1967 |
| International Standard Book Number | 9780883856192 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Anneli Lax New Mathematical Library |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330394">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3330394</a> |
| Public note | Click to View |
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