proposition 16.9 The catenoid
open in the book ·
parts/02-mathematical-methods/14-calculus-of-variations.tex:335
· p. 635
Rests on
- depends_on equation 16.6 eq:calcvar-area-functional ¶
- depends_on equation 16.25 eq:calcvar-beltrami ¶
- proves proof ch:14-calculus-of-variations@proof-5 ¶
Supports
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
depends_on |
→ | eq:calcvar-area-functional | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:342 |
depends_on |
→ | eq:calcvar-beltrami | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:342 |
proves |
← | ch:14-calculus-of-variations@proof-5 | declared | parts/02-mathematical-methods/14-calculus-of-variations.tex:345 |