Lines and curves: a practical geometry handbook
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2004
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Russ. übers. |
| Beschreibung: | XV, 156 S. Ill., graph. Darst. |
| ISBN: | 0817641610 |
Internformat
MARC
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| 300 | |a XV, 156 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804129650673188864 |
|---|---|
| adam_text | VICTOR GUTENMACHER N.B. VASILYEV SUB GOTTINGEN 7 217 232 140 2004 A 6081
LINES AND CURVES A PRACTICAL GEOMETRY HANDBOOK BASED ON AN ENGLISH
TRANSLATION OF THE ORIGINAL RUSSIAN EDITION BY A. KUNDU FOREWORD BY MARK
SAUL BIRKHAUSER BOSTON * BASEL * BERLIN CONTENTS FOREWORD V PREFACE VII
NOTATION XV INTRODUCTION 1 INTRODUCTORY PROBLEMS 1 COPERNICUS THEOREM 3
1 SETS OF POINTS 7 A FAMILY OF LINES AND MOTION 11 CONSTRUCTION PROBLEMS
12 ADDITIONAL PROBLEMS 15 2 THE ALPHABET 19 A CIRCLE AND A PAIR OF ARCS
21 SQUARES OF DISTANCES 23 DISTANCES FROM STRAIGHT LINES 29 THE ENTIRE
ALPHABET 33 3 LOGICAL COMBINATIONS 35 THROUGH A SINGLE POINT 35
INTERSECTIONS AND UNIONS 39 THE CHEESE PROBLEM 44 4 MAXIMUM AND
MINIMUM 47 WHERE TO PUT THE POINT? 49 THE MOTORBOAT PROBLEM 51 5 LEVEL
CURVES 55 THE BUS PROBLEM 55 FUNCTIONS ON A PLANE 57 LEVEL CURVES 57 THE
GRAPH OF A FUNCTION 58 THE MAP OF A FUNCTION 62 BOUNDARY LINES 62
EXTREMA OF FUNCTIONS 64 XI 6 QUADRATIC CURVES 67 ELLIPSES, HYPERBOLAS,
PARABOLAS 67 FOCI AND TANGENTS 70 THE FOCAL PROPERTY OF A PARABOLA 72
CURVES AS THE ENVELOPES OF STRAIGHT LINES 75 EQUATIONS OF CURVES 78 A
NOTE ABOUT THE ELIMINATION OF RADICALS 81 THE END OF OUR ALPHABET 82
ALGEBRAIC CURVES 87 7 ROTATIONS AND TRAJECTORIES 89 THECARDIOID 89
ADDITION OF ROTATIONS 91 A THEOREM ON TWO CIRCLES 99 VELOCITIES AND
TANGENTS 101 PARAMETRIC EQUATIONS 106 CONCLUSION 109 8 DRAWINGS,
ANIMATION, AND THE MAGIC TRIANGLE 111 THE ENVELOPE OF A FAMILY OF LINES
114 THE MAGIC TRIANGLE 115 A TINY RING ON A CIRCLE 117 TWO PEDESTRIANS
ON A CIRCLE AND THE STEINER DELTOID 118 HOW THREE POINTS MOVE AROUND
THREE SYMMETRIC CIRCLES 120 THE ROTATION OF THE WALLACE-SIMSON LINE AND
THE FEUERBACH CIRCLE .... 124 STEINER S TRIANGLE AND MORLEY S TRIANGLE
125 ANSWERS, HINTS, SOLUTIONS 127 A SUMMARY OF RESULTS FROM ANALYTIC
GEOMETRY 135 B SOME FACTS FROM SCHOOL GEOMETRY 137 B.I PROPORTIONAL
SEGMENTS 137 B.2 DISTANCES, PERPENDICULARS 138 B.3 THE CIRCLE 139 B.4
TRIANGLES 139 C A DOZEN ASSIGNMENTS 141 C.I NAME THE LETTERS 141 C.2
TRANSFORMATIONS AND CONSTRUCTIONS 142 C.3 ROTATING STRAIGHT LINES 142
C.4 STRAIGHT LINES AND LINEAR RELATIONS 143 C.5 THE TANGENCY PRINCIPLE
(CONDITIONAL EXTREMUM) 143 C.6 PARTITIONS 144 XII C.7 ELLIPSES,
HYPERBOLAS, AND PARABOLAS 144 C.8 ENVELOPES, INFINITE UNIONS 145 C.9
TANGENTS TO CYCLOIDS 145 CIO EQUATIONS OF CURVES 146 C.LL GEOMETRICAL
PRACTICAL WORK 146 C.12 SMALL INVESTIGATIONS 148 INDEX 149 ABOUT VICTOR
GUTENMACHER 153 ABOUT N. B. VASILYEV 155 XIII
|
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| author | Gutenmacher, V.L Vasilʹev, Nikolaj B. 1941-1998 |
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| discipline | Mathematik |
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| indexdate | 2024-07-09T19:08:31Z |
| institution | BVB |
| isbn | 0817641610 |
| language | English |
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| physical | XV, 156 S. Ill., graph. Darst. |
| publishDate | 2004 |
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| spelling | Gutenmacher, V.L. Verfasser (DE-588)1089347855 aut Priamye i krivye Lines and curves a practical geometry handbook Victor Gutenmacher ; N. B. Vasilyev Boston [u.a.] Birkhäuser 2004 XV, 156 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Russ. übers. Geometrie (DE-588)4020236-7 gnd rswk-swf (DE-588)4144384-6 Beispielsammlung gnd-content Geometrie (DE-588)4020236-7 s DE-604 Vasilʹev, Nikolaj B. 1941-1998 Verfasser (DE-588)104639806 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010070281&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gutenmacher, V.L Vasilʹev, Nikolaj B. 1941-1998 Lines and curves a practical geometry handbook Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4144384-6 |
| title | Lines and curves a practical geometry handbook |
| title_alt | Priamye i krivye |
| title_auth | Lines and curves a practical geometry handbook |
| title_exact_search | Lines and curves a practical geometry handbook |
| title_full | Lines and curves a practical geometry handbook Victor Gutenmacher ; N. B. Vasilyev |
| title_fullStr | Lines and curves a practical geometry handbook Victor Gutenmacher ; N. B. Vasilyev |
| title_full_unstemmed | Lines and curves a practical geometry handbook Victor Gutenmacher ; N. B. Vasilyev |
| title_short | Lines and curves |
| title_sort | lines and curves a practical geometry handbook |
| title_sub | a practical geometry handbook |
| topic | Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Geometrie Beispielsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010070281&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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