File:01-Würfelverdoppelung-E-15-Animation.gif
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![File:01-Würfelverdoppelung-E-15-Animation.gif](https://upload.wikimedia.org/wikipedia/commons/thumb/7/79/01-W%C3%BCrfelverdoppelung-E-15-Animation.gif/773px-01-W%C3%BCrfelverdoppelung-E-15-Animation.gif?20180503154100)
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Original file (777 × 603 pixels, file size: 92 KB, MIME type: image/gif, looped, 61 frames, 2 min 36 s)
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Summary
[edit]Description01-Würfelverdoppelung-E-15-Animation.gif |
Deutsch: Würfelverdoppelung, Näherungskonstruktion als Animation
English: Doubling the cube, proximity construction as animation |
Date | |
Source | Own work |
Author | Petrus3743 |
Other versions |
![]() Doubling the cube, approximate construction ![]() Doubling the cube, final image for the proximity construction ![]() Verdoppelung des Würfels als Animation |
Ergebnis
[edit]Bezogen auf einem Würfel mit der Seitenlänge a1 = 1 [LE]
[edit]- Konstruierte Seitenlänge des verdoppelten Würfels in GeoGebra
- Seitenlänge des verdoppelten Würfels
- Absoluter Fehler der konstruierten Seitenlänge des verdoppelten Würfels
- Volumen des verdoppelten Würfels mit konstruierter Seitenlänge in GeoGebra
- Volumen des verdoppelten Würfels
- Absoluter Fehler des Volumens mit konstruierter Seitenlänge
Beispiel um den Fehler zu verdeutlichen
[edit]- Bei einem Würfel 1 mit der Seitenlänge a1 = 1 Mrd. km (das Licht bräuchte für diese Strecke ca. 55 min) wäre der Fehler der konstruierten Seitenlänge a2 des verdoppelten Würfels 2 ca. 0,2 mm.
- Bei einem Würfel 1 mit der Seitenlänge a1 = 10 km wäre der Fehler des Volumens vom verdoppelten Würfels 2 ca. 0,8 dm3 oder ca. 1 Liter.
Score
[edit]In relation to a cube with side length a1 = 1 [unit of length]
[edit]- Constructed side length of the doubled cube in GeoGebra
- Side length of the doubled cube
- Absolute error of the constructed side length of the doubled cube
- Volume of the doubled cube with a constructed side length in GeoGebra
- Volume of the doubled cube
- Absolute error of the volume with a constructed side length
Example to illustrate the error
[edit]- For a cube 1 with the side length a1 = 1 billion km (the light would need about 55 minutes for this distance), the error of the side length a2 of the doubled cube 2 would be approx. 0.2 mm.
- For a cube 1 with the side length a1 = 10 km, the error of the volume of the doubled cube 2 would be approx. 0.8 dm3 or approx. 1 liter.
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 15:41, 3 May 2018 | ![]() | 777 × 603 (92 KB) | Petrus3743 (talk | contribs) | eine Abstandsbezeichnung korr. |
16:52, 19 June 2016 | ![]() | 685 × 609 (87 KB) | Petrus3743 (talk | contribs) | FI1ː Strecke in Abstand umgewandelt | |
15:08, 18 June 2016 | ![]() | 685 × 609 (87 KB) | Petrus3743 (talk | contribs) | User created page with UploadWizard |
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