proposition 16.1 The curve of quickest descent is a cycloid
open in the book ·
parts/02-mathematical-methods/14-calculus-of-variations.tex:75
· p. 632
Rests on
- depends_on equation 16.25 eq:calcvar-beltrami ¶
- depends_on equation 16.1 eq:calcvar-brachistochrone-time ¶
- proves proof ch:14-calculus-of-variations@proof-1 ¶
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:calcvar-beltrami | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:87 |
depends_on |
→ | eq:calcvar-brachistochrone-time | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:87 |
proves |
← | ch:14-calculus-of-variations@proof-1 | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:90 |