File:01-Würfelverdoppelung-E-15-Animation.gif

From Wikimedia Commons, the free media repository
Jump to navigation Jump to search

Original file (777 × 603 pixels, file size: 92 KB, MIME type: image/gif, looped, 61 frames, 2 min 36 s)

Captions

Captions

Add a one-line explanation of what this file represents

Summary

[edit]
Description
Deutsch: Würfelverdoppelung, Näherungskonstruktion als Animation
English: Doubling the cube, proximity construction as animation
Date
Source Own work
Author Petrus3743
Other versions
Würfelverdoppelung, Näherungskonstruktion
Doubling the cube, approximate construction
Würfelverdoppelung, Abschlussbild für die Näherungskonstruktion,
Doubling the cube, final image for the proximity construction
Doubling the cube as an animation
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:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current15:41, 3 May 2018Thumbnail for version as of 15:41, 3 May 2018777 × 603 (92 KB)Petrus3743 (talk | contribs)eine Abstandsbezeichnung korr.
16:52, 19 June 2016Thumbnail for version as of 16:52, 19 June 2016685 × 609 (87 KB)Petrus3743 (talk | contribs)FI1ː Strecke in Abstand umgewandelt
15:08, 18 June 2016Thumbnail for version as of 15:08, 18 June 2016685 × 609 (87 KB)Petrus3743 (talk | contribs)User created page with UploadWizard

You cannot overwrite this file.

The following page uses this file:

Metadata

This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.

Retrieved from "https://commons.wikimedia.org/w/index.php?title=File:01-Würfelverdoppelung-E-15-Animation.gif&oldid=803643343"