| 000 -LEADER |
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| fixed length control field |
03415nam a22004095i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
978-0-387-78131-0 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20161121231210.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100301s2008 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9780387781310 |
| -- |
978-0-387-78131-0 |
| 024 7# - OTHER STANDARD IDENTIFIER |
|---|
| Standard number or code |
10.1007/978-0-387-78131-0 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA440-699 |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
PBM |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
|---|
| Subject category code |
MAT012000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
516 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Bottema, O. |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Topics in Elementary Geometry |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by O. Bottema. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
New York, NY : |
| Name of producer, publisher, distributor, manufacturer |
Springer New York, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2008. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XII, 142 p. 76 illus. |
| Other physical details |
online resource. |
| 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 |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
The Pythagorean Theorem -- Ceva#x02019;s Theorem -- Perpendicular Bisectors; Concurrence -- The Nine-Point Circle and Euler Line -- The Taylor Circle -- Coordinate Systems with Respect to a Triangle -- The Area of a Triangle as a Function of the Barycentric Coordinates of Its Vertices -- The Distances from a Point to the Vertices of a Triangle -- The Simson Line -- Morley#x02019;s Triangle -- Inequalities in a Triangle -- The Mixed Area of Two Parallel Polygons -- The Isoperimetric Inequality -- Poncelet Polygons -- A Closure Problem for Triangles -- A Class of Special Triangles -- Two Unusual Conditions for a Triangle -- A Counterpart for the Euler Line -- Menelaus#x02019;s Theorem; Cross-Ratios and Reciprocation -- The Theorems of Desargues, Pappus, and Pascal -- Inversion -- The Theorems of Ptolemy and Casey -- Pedal Triangles; Brocard Points -- Isogonal Conjugation; the Symmedian Point -- Isotomic Conjugation -- Triangles with Two Equal Angle Bisectors -- The Inscribed Triangle with the Smallest Perimeter; the Fermat Point. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This small book has for a long time been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, Poncelet's polygons, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained in this classical field over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating. In a small space the author provides many thought-provoking ideas. This book will fit in well with the increasing interest for geometry in research and education. This book was originally published in Dutch, and this will be the first English translation. This translation also includes a new foreword by Robin Hartshorne. "This highly entertaining book will broaden the reader's historical perspective in an enlightening manner and it provides attractive topics for classroom discussion." -Hendrik Lenstra, Universiteit Leiden. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Geometry. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Geometry. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9780387781303 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-387-78131-0 |
| 912 ## - |
|---|
| -- |
ZDB-2-SMA |
