File:4Fold Root Figure 6m.gif
4Fold_Root_Figure_6m.gif (745 × 422 pixels, file size: 38 KB, MIME type: image/gif)
Captions
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Summary[edit]
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English: screenshot from p.196 of the pdf file download from archive.org, using maximal resolution, 0% saturation, maximal b/w contrast
The diagram is intended as Schopenhauer's proof "by intuition"[1] of (a special case of) the Pythargorean theorem.[2] Using the names from the image annotations, and taking for granted that abd, adf, dfg, bdg, acf, and beg are all congruent triangles which therefore all have the same area,[3] we have ab2 = A(abd)+A(adf)+A(dfg)+A(bdg) = 4*A(abd), while ad2 = A(adf)+A(acf) = 2*A(abd) and bd2 = A(bdg)+A(bge) = 2*A(abd). Notes:
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| Source | Djvu file of Arthur Schopenhauer's essay On the Fourfold Root of the Principle of Sufficient Reason at archive.org | |||||||||||||||||
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Licensing[edit]
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This work is in the public domain in its country of origin and other countries and areas where the copyright term is the author's life plus 100 years or fewer.  You must also include a United States public domain tag to indicate why this work is in the public domain in the United States.
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| This file has been identified as being free of known restrictions under copyright law, including all related and neighboring rights. | |
| Annotations | This image is annotated: View the annotations at Commons |
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 14:21, 30 May 2015 | | 745 × 422 (38 KB) | Jochen Burghardt (talk | contribs) | User created page with UploadWizard |
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