How round is your circle?: Where engineering and mathematics meet
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J. [u.a.]
Princeton Univ. Press
2008
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | 352 S. |
| ISBN: | 9780691131184 |
Internformat
MARC
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| 245 | 1 | 0 | |a How round is your circle? |b Where engineering and mathematics meet |c John Bryant and Chris Sangwin |
| 264 | 1 | |a Princeton, N.J. [u.a.] |b Princeton Univ. Press |c 2008 | |
| 300 | |a 352 S. | ||
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| 500 | |a Includes bibliographical references and index | ||
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| 650 | 4 | |a Geometry, Plane | |
| 650 | 4 | |a Geametry, Algebraic | |
| 650 | 4 | |a Geometrical models | |
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Datensatz im Suchindex
| _version_ | 1804137466880327680 |
|---|---|
| adam_text | HOW ROUND IS YOUR CIRCLE? WHERE ENGINEERING AND MATHEMATICS MEET JOHN
BRYANT AND CHRIS SANGWIN PRINCETON UNIVERSITY PRESS PRINCETON AND OXFORD
CONTENTS PREFACE XUEI ACKNOWLEDGEMENTS XIX CHAPTER1 HARD LINES 1.1
CUTTING LINES 1.2 THE PYTHAGOREAN THEOREM 1.3 BROAD LINES 1.4 CUTTING
LINES 1.5 TRIAL BY TRIALS CHAPTER2 HOW TO DRAW A STRAIGHT LINE 2.1
APPROXIMATE-STRAIGHT-LINE LINKAGES 2.2 EXACT-STRAIGHT-LINE LINKAGES 2.3
HART S EXACT-STRAIGHT-LINE MECHANISM 2.4 GUIDE LINKAGES 2.5 OTHER WAYS
TO DRAW A STRAIGHT LINE CHAPTER3 FOUR-BAR VARIATIONS 3.1 MAKING LINKAGES
3.2 THE PANTOGRAPH 3.3 THE CROSSED PARALLELOGRAM 3.4 FOUR-BAR LINKAGES
3.5 THE TRIPLE GENERATION THEOREM 3.6 HOW TO DRAW A BIG CIRCLE 3.7
CHEBYSHEV S PARADOXICAL MECHANISM 1 5 6 10 12 15 17 22 33 38 39 41 46 49
51 54 56 59 60 62 IX CONTENTS CHAPTER4 BUILDING THE WORLD S FIRST RULER
65 4.1 STANDARDS OF LENGTH 66 4.2 DMDING THE UNIT BY GEOMETRY 69 4.3
BUILDING THE WORLD S FIRST RULER 73 4.4 RULER MARKINGS 75 4.5 READING
SCALES ACCURATELY 81 4.6 SIMILAR TRIANGLES AND THE SECTOR 84 CHAPTER 5
DMDING THE CIRCLE 89 5.1 UNITS OF ANGULAR MEASUREMENT 92 5.2
CONSTRUCTING BASE ANGLES VIA POLYGONS 95 5.3 CONSTRUCTING A REGULAER
PENTAGON 98 5.4 BUILDING THE WORLD S FIRST PROTRACTOR 100 5.5
APPROXIMATELY TRISECTING AN ANGLE 102 5.6 TRISECTING AN ANGLE BY OTHER
MEANS 105 5.7 TRISECTION OF AN ARBITRARY ANGLE 106 5.8 ORIGAMI 110
CHAPTER 6 FALLING APART 112 6.1 ADDING UP SEQUENCES OF INTEGERS 112 6.2
DUIJVESTIJN S DISSECTION 114 6.3 PACKING 117 6.4 PLANE DISSECTIONS 118
6.5 RIPPING PAPER 120 6.6 A HOMELY DISSECTION 123 6.7 SOMETHING MORE
SOLID 125 CHAPTER 7 FOLLOW MY LEADER 127 CHAPTER 8 IN PURSUIT OF
COAT-HANGERS 138 8.1 WHAT IS AREA? 141 8.2 PRACTICAL MEASUREMENT OF
AREAS 149 CONTENTS XI 8.3 AREAS SWEPT OUT BY A LINE 151 8.4 THE LINEAR
PLANIMETER 153 8.5 THE POLAR PLANIMETER OF AMSLER 158 8.6 THE HATCHET
PLANIMETER OF PRYTZ 161 8.7 THE RETURN OF THE BENT COAT-HANGER 165 8.8
OTHER MATHEMATICAL INTEGRATORS 170 CHAPTER9 ALL APPROXIMATIONS ARE
RATIONAL 9.1 LAYING PIPES UNDER A TILED FLOOR 9.2 COGS AND MILLWRIGHTS
9.3 CUTTING A METRIE SCREW 9.4 THE BINARY CALENDAR 9.5 THE HARMONOGRAPH
9.6 A LITTLE NONSENSE! 172 173 178 180 182 184 187 CHAPTER10 HOW ROUND
IS YOUR CIRCLE? 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 10.9 10.10 10.11
10.12 FAMILIES OF SHAPES OF CONSTANT WIDTH OTHER SHAPES OF CONSTANT
WIDTH THREE-DIMENSIONAL SHAPES OF CONSTANT WIDTH APPLICATIONS MAKING
SHAPES OF CONSTANT WIDTH ROUNDNESS THE BRITISH STANDARD SUMMIT TESTS OF
BS3730 THREE-POINT TESTS SHAPES VIA AN ENVELOPE OF LINES ROTORS OF
TRIANGLES WITH RATIONAL ANGLES EXAMPLES OF ROTORS OF TRIANGLES MODERN
AND ACCURATE ROUNDNESS METHODS 188 191 193 196 197 202 204 206 210 213
218 220 224 CHAPTER11 PLENTY OF SLIDE RULE 227 11.1 THE LOGARITHMIC
SLIDE RULE 229 11.2 THE INVENTION OF SLIDE RULES 233 11.3 OTHER
CALCULATIONS AND SCALES 237 11.4 CIRCULAR AND CYLINDRICAL SLIDE RULES
240 .-* XU CONTENTS 11.5 SLIDE RULES FOR SPECIAL PURPOSES 241 11.6 THE
MAGNAMETA OIL TONNAGE CALCULATOR 245 11.7 NON-LOGARITHMIC SLIDE RULES
247 11.8 NOMOGRAMS 249 11.9 OUGHTRED AND DELAMAIN S VIEWS ON EDUCATION
251 CHAPTER12 ALL A MATTER OF BALANCE 255 12.1 STACKINGUP 255 12.2 THE
DIVERGENCE OF THE HARMONIE SERIES 259 12.3 BUILDING THE STACK OF DOMINOS
261 12.4 THE LEANING PENCIL AND REACHING THE STARS 265 12.5 SPIRALLING
OUT OF CONTROL 267 12.6 ESCAPING FROM DANGER 269 12.7 LEANING BOTH WAYS!
270 12.8 SELF-RIGHTING STACKS 271 12.9 TWO-TIP POLYHEDRA 273 12.10
UNI-STABLE POLYHEDRA 274 CHAPTER13 FINDING SOME EQUILIBRIUM 277 13.1
ROLLING UPHILL 277 13.2 PERPENDICULAR ROLLING DISCS 279 13.3 ELLIPSES
287 13.4 SLOTTED ELLIPSES 291 13.5 THE SUPER-EGG 292 EPILOGUE 296
REFERENCES 297 INDEX 303
|
| adam_txt |
HOW ROUND IS YOUR CIRCLE? WHERE ENGINEERING AND MATHEMATICS MEET JOHN
BRYANT AND CHRIS SANGWIN PRINCETON UNIVERSITY PRESS PRINCETON AND OXFORD
CONTENTS PREFACE XUEI ACKNOWLEDGEMENTS XIX CHAPTER1 HARD LINES 1.1
CUTTING LINES 1.2 THE PYTHAGOREAN THEOREM 1.3 BROAD LINES 1.4 CUTTING
LINES 1.5 TRIAL BY TRIALS CHAPTER2 HOW TO DRAW A STRAIGHT LINE 2.1
APPROXIMATE-STRAIGHT-LINE LINKAGES 2.2 EXACT-STRAIGHT-LINE LINKAGES 2.3
HART'S EXACT-STRAIGHT-LINE MECHANISM 2.4 GUIDE LINKAGES 2.5 OTHER WAYS
TO DRAW A STRAIGHT LINE CHAPTER3 FOUR-BAR VARIATIONS 3.1 MAKING LINKAGES
3.2 THE PANTOGRAPH 3.3 THE CROSSED PARALLELOGRAM 3.4 FOUR-BAR LINKAGES
3.5 THE TRIPLE GENERATION THEOREM 3.6 HOW TO DRAW A BIG CIRCLE 3.7
CHEBYSHEV'S PARADOXICAL MECHANISM 1 5 6 10 12 15 17 22 33 38 39 41 46 49
51 54 56 59 60 62 IX CONTENTS CHAPTER4 BUILDING THE WORLD'S FIRST RULER
65 4.1 STANDARDS OF LENGTH 66 4.2 DMDING THE UNIT BY GEOMETRY 69 4.3
BUILDING THE WORLD'S FIRST RULER 73 4.4 RULER MARKINGS 75 4.5 READING
SCALES ACCURATELY 81 4.6 SIMILAR TRIANGLES AND THE SECTOR 84 CHAPTER 5
DMDING THE CIRCLE 89 5.1 UNITS OF ANGULAR MEASUREMENT 92 5.2
CONSTRUCTING BASE ANGLES VIA POLYGONS 95 5.3 CONSTRUCTING A REGULAER
PENTAGON 98 5.4 BUILDING THE WORLD'S FIRST PROTRACTOR 100 5.5
APPROXIMATELY TRISECTING AN ANGLE 102 5.6 TRISECTING AN ANGLE BY OTHER
MEANS 105 5.7 TRISECTION OF AN ARBITRARY ANGLE 106 5.8 ORIGAMI 110
CHAPTER 6 FALLING APART 112 6.1 ADDING UP SEQUENCES OF INTEGERS 112 6.2
DUIJVESTIJN'S DISSECTION 114 6.3 PACKING 117 6.4 PLANE DISSECTIONS 118
6.5 RIPPING PAPER 120 6.6 A HOMELY DISSECTION 123 6.7 SOMETHING MORE
SOLID 125 CHAPTER 7 FOLLOW MY LEADER 127 CHAPTER 8 IN PURSUIT OF
COAT-HANGERS 138 8.1 WHAT IS AREA? 141 8.2 PRACTICAL MEASUREMENT OF
AREAS 149 CONTENTS XI 8.3 AREAS SWEPT OUT BY A LINE 151 8.4 THE LINEAR
PLANIMETER 153 8.5 THE POLAR PLANIMETER OF AMSLER 158 8.6 THE HATCHET
PLANIMETER OF PRYTZ 161 8.7 THE RETURN OF THE BENT COAT-HANGER 165 8.8
OTHER MATHEMATICAL INTEGRATORS 170 CHAPTER9 ALL APPROXIMATIONS ARE
RATIONAL 9.1 LAYING PIPES UNDER A TILED FLOOR 9.2 COGS AND MILLWRIGHTS
9.3 CUTTING A METRIE SCREW 9.4 THE BINARY CALENDAR 9.5 THE HARMONOGRAPH
9.6 A LITTLE NONSENSE! 172 173 178 180 182 184 187 CHAPTER10 HOW ROUND
IS YOUR CIRCLE? 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 10.9 10.10 10.11
10.12 FAMILIES OF SHAPES OF CONSTANT WIDTH OTHER SHAPES OF CONSTANT
WIDTH THREE-DIMENSIONAL SHAPES OF CONSTANT WIDTH APPLICATIONS MAKING
SHAPES OF CONSTANT WIDTH ROUNDNESS THE BRITISH STANDARD SUMMIT TESTS OF
BS3730 THREE-POINT TESTS SHAPES VIA AN ENVELOPE OF LINES ROTORS OF
TRIANGLES WITH RATIONAL ANGLES EXAMPLES OF ROTORS OF TRIANGLES MODERN
AND ACCURATE ROUNDNESS METHODS 188 191 193 196 197 202 204 206 210 213
218 220 224 CHAPTER11 PLENTY OF SLIDE RULE 227 11.1 THE LOGARITHMIC
SLIDE RULE 229 11.2 THE INVENTION OF SLIDE RULES 233 11.3 OTHER
CALCULATIONS AND SCALES 237 11.4 CIRCULAR AND CYLINDRICAL SLIDE RULES
240 .-* XU CONTENTS 11.5 SLIDE RULES FOR SPECIAL PURPOSES 241 11.6 THE
MAGNAMETA OIL TONNAGE CALCULATOR 245 11.7 NON-LOGARITHMIC SLIDE RULES
247 11.8 NOMOGRAMS 249 11.9 OUGHTRED AND DELAMAIN'S VIEWS ON EDUCATION
251 CHAPTER12 ALL A MATTER OF BALANCE 255 12.1 STACKINGUP 255 12.2 THE
DIVERGENCE OF THE HARMONIE SERIES 259 12.3 BUILDING THE STACK OF DOMINOS
261 12.4 THE LEANING PENCIL AND REACHING THE STARS 265 12.5 SPIRALLING
OUT OF CONTROL 267 12.6 ESCAPING FROM DANGER 269 12.7 LEANING BOTH WAYS!
270 12.8 SELF-RIGHTING STACKS 271 12.9 TWO-TIP POLYHEDRA 273 12.10
UNI-STABLE POLYHEDRA 274 CHAPTER13 FINDING SOME EQUILIBRIUM 277 13.1
ROLLING UPHILL 277 13.2 PERPENDICULAR ROLLING DISCS 279 13.3 ELLIPSES
287 13.4 SLOTTED ELLIPSES 291 13.5 THE SUPER-EGG 292 EPILOGUE 296
REFERENCES 297 INDEX 303 |
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| discipline | Mathematik |
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| id | DE-604.BV023193749 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T20:05:40Z |
| indexdate | 2024-07-09T21:12:45Z |
| institution | BVB |
| isbn | 9780691131184 |
| language | English |
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| physical | 352 S. |
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| publisher | Princeton Univ. Press |
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| spelling | Bryant, John Verfasser aut How round is your circle? Where engineering and mathematics meet John Bryant and Chris Sangwin Princeton, N.J. [u.a.] Princeton Univ. Press 2008 352 S. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Engineering mathematics Geometry, Plane Geametry, Algebraic Geometrical models Elementargeometrie (DE-588)4137488-5 gnd rswk-swf Planimetrie (DE-588)4046223-7 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Elementargeometrie (DE-588)4137488-5 s Ingenieurwissenschaften (DE-588)4137304-2 s Planimetrie (DE-588)4046223-7 s 1\p DE-604 DE-604 Sangwin, Christopher J. Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016380094&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bryant, John Sangwin, Christopher J. How round is your circle? Where engineering and mathematics meet Engineering mathematics Geometry, Plane Geametry, Algebraic Geometrical models Elementargeometrie (DE-588)4137488-5 gnd Planimetrie (DE-588)4046223-7 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| subject_GND | (DE-588)4137488-5 (DE-588)4046223-7 (DE-588)4137304-2 |
| title | How round is your circle? Where engineering and mathematics meet |
| title_auth | How round is your circle? Where engineering and mathematics meet |
| title_exact_search | How round is your circle? Where engineering and mathematics meet |
| title_exact_search_txtP | How round is your circle? Where engineering and mathematics meet |
| title_full | How round is your circle? Where engineering and mathematics meet John Bryant and Chris Sangwin |
| title_fullStr | How round is your circle? Where engineering and mathematics meet John Bryant and Chris Sangwin |
| title_full_unstemmed | How round is your circle? Where engineering and mathematics meet John Bryant and Chris Sangwin |
| title_short | How round is your circle? |
| title_sort | how round is your circle where engineering and mathematics meet |
| title_sub | Where engineering and mathematics meet |
| topic | Engineering mathematics Geometry, Plane Geametry, Algebraic Geometrical models Elementargeometrie (DE-588)4137488-5 gnd Planimetrie (DE-588)4046223-7 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| topic_facet | Engineering mathematics Geometry, Plane Geametry, Algebraic Geometrical models Elementargeometrie Planimetrie Ingenieurwissenschaften |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016380094&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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