User manual for the interactive geometry software Cinderella:
"Cinderella is a complete environment for interactive geometry on the computer with only a few mouse clicks you can easily draw complicated constructions." "If you want to vary your input parameters, just pick a point and drag it - everything will move accordingly. Use it to create ex...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "Cinderella is a complete environment for interactive geometry on the computer with only a few mouse clicks you can easily draw complicated constructions." "If you want to vary your input parameters, just pick a point and drag it - everything will move accordingly. Use it to create exact high-quality drawings for your papers and books, or research into well known or, even better, new geometric theorems. Cinderella's unique mathematical theory guarantees consistency and well defined behavior for all geometric objects. This makes it the ideal tool for classroom teaching and demonstrations." "If you want to share your thoughts, just use the export wizard to create an interactive webpage. A few clicks and your colleagues can not only see what you mean, but actually experience it! A runtime module that you can distribute freely is included." "Let your students participate and use Cinderella's automatic theorem prover for assignments they really like. Forget multiple choice, with Cinderella they can interactively make a construction, and the included automatic theorem prover will check whether it is a solution. All they need is a Java enabled browser, all you need is Cinderella."--BOOK JACKET. |
| Beschreibung: | Frühere Aufl. u.d.T.: Richter-Gebert, Jürgen: The interactive geometry software Cinderella [Buch] |
| Beschreibung: | X, 143 S. Ill., graph. Darst. |
| ISBN: | 3540671390 |
Internformat
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| 100 | 1 | |a Richter-Gebert, Jürgen |d 1963- |e Verfasser |0 (DE-588)111407346 |4 aut | |
| 245 | 1 | 0 | |a User manual for the interactive geometry software Cinderella |c Jürgen Richter-Gebert ; Ulrich H. Kortenkamp |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2000 | |
| 300 | |a X, 143 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Frühere Aufl. u.d.T.: Richter-Gebert, Jürgen: The interactive geometry software Cinderella [Buch] | ||
| 520 | 1 | |a "Cinderella is a complete environment for interactive geometry on the computer with only a few mouse clicks you can easily draw complicated constructions." "If you want to vary your input parameters, just pick a point and drag it - everything will move accordingly. Use it to create exact high-quality drawings for your papers and books, or research into well known or, even better, new geometric theorems. Cinderella's unique mathematical theory guarantees consistency and well defined behavior for all geometric objects. This makes it the ideal tool for classroom teaching and demonstrations." "If you want to share your thoughts, just use the export wizard to create an interactive webpage. A few clicks and your colleagues can not only see what you mean, but actually experience it! A runtime module that you can distribute freely is included." "Let your students participate and use Cinderella's automatic theorem prover for assignments they really like. Forget multiple choice, with Cinderella they can interactively make a construction, and the included automatic theorem prover will check whether it is a solution. All they need is a Java enabled browser, all you need is Cinderella."--BOOK JACKET. | |
| 630 | 0 | 4 | |a Cinderella (Computer file) |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Geometry |x Data processing | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-008910662 | ||
Datensatz im Suchindex
| _version_ | 1804127776635092992 |
|---|---|
| adam_text | CONTENTS . . . . . . . . . . . . . . . 1 1 PREFACE . . . . . . . . . . .
. . 3 2 INTRODUCTION . . . . . . . . . . . 4 2.1 SAMPLE APPLICATIONS . .
. . . . . . . . . 4 2.1.1 EXACT DRAWINGS . . . . . . . . . . 5 2.1.2
GEOMETRIC CALCULATOR . . . . . . . . . . 5 2.1.3 STUDENT EXERCISES . . .
. . . . . . . . 6 2.2 DESIGN AND FEATURES . . . . . . . . . . 9 2.3
TECHNICAL BACKGROUND . . . . . . . . . . . . . 11 3 A QUICK START . . .
. . . . . . . . 12 3.1 PAPPOS* THEOREM . . . . . . . . . 12 3.1.1
DRAWING YOUR FIRST POINT . . . . . . . . . 13 3.1.2 UNDOING AN OPERATION
. . . . . . . . . . . 13 3.1.3 MOVING A POINT . . . . . . . . . . . 14
3.1.4 ADDING A LINE . . . . . . . . . . 14 3.1.5 ADDING MORE LINES . . .
. . . . . 15 3.1.6 CREATING POINTS OF INTERSECTION . . . . . . . . . 16
3.1.7 FINISHING THE DRAWING . . . . . 16 3.1.8 SELECTING AND CHANGING
THE APPEARANCE . . . . 18 3.1.9 ADDING A FINAL POINT AND PROVING A
THEOREM . . . . . . . . 19 3.1.10 MOVING POINTS TO INFINITY . . . . . .
. . . . . 22 3.2 A THREE BAR LINKAGE . . . . . . . . . . . 22 3.2.1
MAKING A BAR . . . . . . . . . 23 3.2.2 ADDING TWO MORE BARS . . . . . .
. . . 25 3.2.3 MOVING THE CONSTRUCTION . . . . . . . . . 26 3.2.4
STARTING AN ANIMATION . . . . . . . . . . . 26 3.2.5 DRAWING A LOCUS . .
. . . . . . . . . . 29 4 BEHIND THE SCENES . . . . . . . . 29 4.1
PROBLEMS IN INTERACTIVE GEOMETRY . . . . . . . . . . . 29 4.1.1 STATIC
PROBLEMS . . . . . . . . . . 30 4.1.2 DYNAMIC PROBLEMS . . . . . . . . .
. . 32 4.2 PROJECTIVE GEOMETRY . . . . . . . . . 33 4.3 HOMOGENEOUS
COORDINATES . . . . . . . . . . . 35 4.4 COMPLEX NUMBERS . . . . . . .
38 4.5 MEASUREMENTS AND COMPLEX NUMBERS . . . . . 38 4.5.1 EUCLIDEAN AND
NON-EUCLIDEAN GEOMETRY . . . . . . . . . 39 4.5.2 CAYLEY-KLEIN
GEOMETRIES . . . . . . . . . 42 4.6 THE PRINCIPLE OF CONTINUITY . . . .
. . . . . . . . . . 45 5 REFERENCE . . . . . . . . . . . . . 45 5.1
OVERVIEW . . . . . . . . . . . . 46 5.1.1 THE MENU . . . . . . . . 46
5.1.2 THE GENERAL ACTION TOOLBAR . . . . . . . . . 47 5.1.3 THE
GEOMETRIC TOOLS . . . . . . . . . . . 48 5.1.4 THE GEOMETRIES . . . . .
. . . . . . . 48 5.1.5 THE VIEWS . . . . . . . . . . . . 49 5.2 GENERAL
TOOLS . . . . . . . . . . . 49 5.2.1 FILE OPERATIONS . . . . . . . . . .
. 49 5.2.1.1 NEW . . . . . . . . . . . 49 5.2.1.2 LOAD . . . . . . . . .
. . 49 5.2.1.3 SAVE . . . . . . . . . . 49 5.2.1.4 SAVE AS . . . . . . .
. . . . 49 5.2.2 EXPORT TOOLS . . . . . . . . . 49 5.2.2.1 PRINT ALL
VIEWS . . . . . . . . 49 5.2.2.2 EXPORT TO HTML . . . . . . . . 50
5.2.2.3 CREATE AN EXERCISE . . . . . . . . . . . . 50 5.2.3 UNDO/REDO VI
CONTENTS . . . . . . . . . . . 50 5.2.3.1 UNDO . . . . . . . . . . . 50
5.2.3.2 REDO . . . . . . . . . . . 50 5.2.3.3 DELETE . . . . . . . . . .
. 50 5.2.4 SELECTION TOOLS . . . . . . . . . . 50 5.2.4.1 SELECT ALL . .
. . . . . . . 51 5.2.4.2 SELECT POINTS . . . . . . . . . 51 5.2.4.3
SELECT LINES . . . . . . . . . 51 5.2.4.4 SELECT CONICS . . . . . . . .
. . 51 5.2.4.5 DESELECT . . . . . . . . . 52 5.2.5 MOVING AN ELEMENT . .
. . . . . . . . . . 54 5.2.6 SELECT . . . . . . . . . . 55 5.2.7
INTERACTIVE MODES . . . . . . . . . . 56 5.2.7.1 ADD A POINT . . . . . .
. . . . 58 5.2.7.2 ADD A LINE . . . . . . . . 60 5.2.7.3 LINE THROUGH
POINT . . . . . . . . . 61 5.2.7.4 ADD A PARALLEL . . . . . . . . 63
5.2.7.5 ADD A PERPENDICULAR . . . . . . 64 5.2.7.6 ADD A LINE WITH FIXED
ANGLE . . . . . . . . . 65 5.2.7.7 ADD A CIRCLE . . . . . . . . 66
5.2.7.8 CIRCLE BY RADIUS . . . . . . . 67 5.2.7.9 CIRCLE BY FIXED RADIUS
. . . . . . . . . . 68 5.2.7.10 MIDPOINT . . . . . . . . . . 69 5.2.8
DEFINITION MODES . . . . . . . . . . . 71 5.2.8.1 CENTER . . . . . . . .
72 5.2.8.2 ANGULAR BISECTOR . . . . . . . . . . 73 5.2.8.3 COMPASS . . .
. . . . . . . . 74 5.2.8.4 MIRROR . . . . . . . 75 5.2.8.5 CIRCLE BY
THREE POINTS CONTENTS VII . . . . . . . 76 5.2.8.6 CONIC BY FIVE POINTS
. . . . . . . . . 77 5.2.8.7 POLAR OF A POINT . . . . . . . . . 78
5.2.8.8 POLAR OF A LINE . . . . . . . . . . 79 5.2.8.9 POLYGON . . . . .
. . . . . . 80 5.2.8.10 JOIN . . . . . . . . . . . 81 5.2.8.11 MEET . .
. . . . . . 82 5.2.8.12 DEFINE A PARALLEL . . . . . . . 83 5.2.8.13
DEFINE A PERPENDICULAR . . . . . . . . . . . 84 5.2.9 MEASUREMENTS . . .
. . . . . . . 85 5.2.9.1 DISTANCE . . . . . . . . . . . 86 5.2.9.2 ANGLE
. . . . . . . . . . . 87 5.2.9.3 AREA . . . . . . . . . . . 88 5.2.10
SPECIAL MODES . . . . . . . . . . 88 5.2.10.1 ADD TEXT . . . . . . . . .
. . 90 5.2.10.2 LOCUS . . . . . . . . . . 92 5.2.10.3 ANIMATION . . . .
. . . . 94 5.2.10.4 ADD A SEGMENT . . . . . . . . . . . . . 96 5.3
GEOMETRIES . . . . . . . . . . 96 5.3.1 TYPES OF GEOMETRIES . . . . . .
. . . 98 5.3.2 VIEWS AND GEOMETRIES . . . . . . . . . . . . . 99 5.4 THE
VIEWS . . . . . . . . . . . 99 5.4.1 EUCLIDEAN VIEW . . . . . . . . . .
99 5.4.1.1 TRANSLATE . . . . . . . . . . 100 5.4.1.2 ZOOM IN . . . . . .
. . . . 100 5.4.1.3 ZOOM OUT . . . . . . . . . 100 5.4.1.4 TOGGLE GRID .
. . . . . . . . 100 5.4.1.5 TOGGLE AXES . . . . . . . . . 100 5.4.1.6
TOGGLE SNAP VIII CONTENTS . . . . . . . . . 101 5.4.1.7 DENSER GRID . .
. . . . . . . 101 5.4.1.8 COARSER GRID . . . . . . . . . . . 101 5.4.2
SPHERICAL VIEW . . . . . . . . . . . 102 5.4.2.1 ROTATE . . . . . . . .
. 102 5.4.2.2 SPHERICAL RESET . . . . . . . . . . 103 5.4.2.3 THE SCALE
SLIDER . . . . . . . . . . . 103 5.4.3 HYPERBOLIC VIEW . . . . . . 103
5.4.4 POLAR EUCLIDEAN AND SPHERICAL VIEW . . . . . . . . . . 104 5.4.5
CONSTRUCTION TEXT . . . . . . . . . . 105 5.4.6 GENERAL FUNCTIONS . . .
. . . . . 106 5.4.6.1 GENERATE POSTSCRIPT . . . . . 106 5.4.6.2 CHOOSE
THE GEOMETRY . . . . . . . . . . 107 5.5 THE APPEARANCE EDITOR . . . . .
. . . . . . . . 108 5.5.1 COLOR . . . . . . . . . . . . 109 5.5.2 VIEW
COLORS . . . . . . . . . . . . 110 5.5.3 CLIPPING . . . . . . . . . . .
. 111 5.5.4 LABELLING . . . . . . . . . . . . . 111 5.5.5 PINNING . . .
. . . . . . . . . 112 5.5.6 OVERHANG . . . . . . . . . . . . . 112 5.5.7
SIZE . . . . . . . . . . . . 113 5.5.8 OPAQUENESS . . . . . . 114 6
CREATING INTERACTIVE WEBPAGES AND EXERCISES . . . . . . . . . . . . .
114 6.1 GLOSSARY . . . . . . . . . . 115 6.2 EXPORTING PLAIN EXAMPLES .
. . . . . . . . . 116 6.3 EXPORTING ANIMATIONS . . . . . . . . . 117 6.4
CREATING INTERACTIVE EXERCISES . . . . . . . . . 117 6.4.1 EXERCISE
CONSTRUCTION . . . . . . . . . . 118 6.4.2 EDITING THE EXERCISE . . . .
. . . . . 118 6.4.2.1 DEFINING THE INPUT CONTENTS IX . . . . . . . . .
120 6.4.2.2 DEFINING SOLUTIONS . . . . . . . . . . 121 6.4.2.3 DEFINING
HINTS . . . . . . . . . . 123 6.4.2.4 TOOL SELECTION . . . . . . . 123
6.4.3 SAVING AND CREATING THE HTML . . . . . . . . . . 124 6.4.4 TESTING
THE EXERCISE . . . . . . . . . 124 6.4.5 DESIGN CONSIDERATIONS . . . . .
. . . . . . . 125 6.5 POST-PROCESSING . . . . . . . . . . . . . 126 6.6
LEGAL ISSUES . . . . . . . . . . . . . . 127 7 INSTALLATION . . . . . .
. . . . . 127 7.1 GENERAL INFORMATION . . . . . . 127 7.2 INSTALLING ON
WINDOWS 95, 98 OR NT 4.0 . . . . . . . . . 128 7.3 INSTALLATION ON UNIX
PLATFORMS . . . . . . . 128 7.3.1 INSTALLING ON SUN SOLARIS (SPARC) . .
. . . . . . . 128 7.3.2 OTHER UNIX-LIKE PLATFORMS . . . . . . . . 128
7.3.3 INSTALLING A JVM ON LINUX . . . . . . . . . . . 129 7.4 INSTALLING
ON MACOS . . . . . . . . 129 7.5 INSTALLING ON OTHER JAVA PLATFORMS . .
. . . . . . 129 7.6 INSTALLING USING A WEB BROWSER . . . . . . . . . . .
. 130 7.7 TROUBLESHOOTING . . . . . . . . . . . 130 7.8 INSTALLING
NETSCAPE . . . . . . . . . . . . 131 8 LICENSE AGREEMENT . . . . . . 131
8.1 CONDITIONS OF USE AND TERMS OF WARRANTY . . . . . . . 135 8.2
NUTZUNGS- UND GARANTIEBEDINGUNGEN . . . . . . . . 139 8.3 JAVA(TM)
RUNTIME ENVIRONMENT . . . . . . . . . . . . . . 142 9 REFERENCES X
CONTENTS
|
| any_adam_object | 1 |
| author | Richter-Gebert, Jürgen 1963- Kortenkamp, Ulrich 1970- |
| author_GND | (DE-588)111407346 (DE-588)114189951 |
| author_facet | Richter-Gebert, Jürgen 1963- Kortenkamp, Ulrich 1970- |
| author_role | aut aut |
| author_sort | Richter-Gebert, Jürgen 1963- |
| author_variant | j r g jrg u k uk |
| building | Verbundindex |
| bvnumber | BV013078957 |
| callnumber-first | Q - Science |
| callnumber-label | QA448 |
| callnumber-raw | QA448.D38 |
| callnumber-search | QA448.D38 |
| callnumber-sort | QA 3448 D38 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | ST 601 |
| ctrlnum | (OCoLC)43764940 (DE-599)BVBBV013078957 |
| dewey-full | 516/.00285/5369 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.00285/5369 |
| dewey-search | 516/.00285/5369 |
| dewey-sort | 3516 3285 45369 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV013078957 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:38:44Z |
| institution | BVB |
| isbn | 3540671390 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008910662 |
| oclc_num | 43764940 |
| open_access_boolean | |
| owner | DE-20 DE-29T DE-739 |
| owner_facet | DE-20 DE-29T DE-739 |
| physical | X, 143 S. Ill., graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Springer |
| record_format | marc |
| spelling | Richter-Gebert, Jürgen 1963- Verfasser (DE-588)111407346 aut User manual for the interactive geometry software Cinderella Jürgen Richter-Gebert ; Ulrich H. Kortenkamp Berlin [u.a.] Springer 2000 X, 143 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Frühere Aufl. u.d.T.: Richter-Gebert, Jürgen: The interactive geometry software Cinderella [Buch] "Cinderella is a complete environment for interactive geometry on the computer with only a few mouse clicks you can easily draw complicated constructions." "If you want to vary your input parameters, just pick a point and drag it - everything will move accordingly. Use it to create exact high-quality drawings for your papers and books, or research into well known or, even better, new geometric theorems. Cinderella's unique mathematical theory guarantees consistency and well defined behavior for all geometric objects. This makes it the ideal tool for classroom teaching and demonstrations." "If you want to share your thoughts, just use the export wizard to create an interactive webpage. A few clicks and your colleagues can not only see what you mean, but actually experience it! A runtime module that you can distribute freely is included." "Let your students participate and use Cinderella's automatic theorem prover for assignments they really like. Forget multiple choice, with Cinderella they can interactively make a construction, and the included automatic theorem prover will check whether it is a solution. All they need is a Java enabled browser, all you need is Cinderella."--BOOK JACKET. Cinderella (Computer file) Datenverarbeitung Geometry Data processing Cinderella Programm (DE-588)4557275-6 gnd rswk-swf Cinderella Programm (DE-588)4557275-6 s DE-604 Kortenkamp, Ulrich 1970- Verfasser (DE-588)114189951 aut SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008910662&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Richter-Gebert, Jürgen 1963- Kortenkamp, Ulrich 1970- User manual for the interactive geometry software Cinderella Cinderella (Computer file) Datenverarbeitung Geometry Data processing Cinderella Programm (DE-588)4557275-6 gnd |
| subject_GND | (DE-588)4557275-6 |
| title | User manual for the interactive geometry software Cinderella |
| title_auth | User manual for the interactive geometry software Cinderella |
| title_exact_search | User manual for the interactive geometry software Cinderella |
| title_full | User manual for the interactive geometry software Cinderella Jürgen Richter-Gebert ; Ulrich H. Kortenkamp |
| title_fullStr | User manual for the interactive geometry software Cinderella Jürgen Richter-Gebert ; Ulrich H. Kortenkamp |
| title_full_unstemmed | User manual for the interactive geometry software Cinderella Jürgen Richter-Gebert ; Ulrich H. Kortenkamp |
| title_short | User manual for the interactive geometry software Cinderella |
| title_sort | user manual for the interactive geometry software cinderella |
| topic | Cinderella (Computer file) Datenverarbeitung Geometry Data processing Cinderella Programm (DE-588)4557275-6 gnd |
| topic_facet | Cinderella (Computer file) Datenverarbeitung Geometry Data processing Cinderella Programm |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008910662&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT richtergebertjurgen usermanualfortheinteractivegeometrysoftwarecinderella AT kortenkampulrich usermanualfortheinteractivegeometrysoftwarecinderella |