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| author | Andreas Müller <andreas.mueller@ost.ch> | 2021-10-13 11:32:58 +0200 |
|---|---|---|
| committer | Andreas Müller <andreas.mueller@ost.ch> | 2021-10-13 11:32:58 +0200 |
| commit | 50d4a6fb4adb0a24acdb987a3e5108de66187651 (patch) | |
| tree | ccfac9c4e77c7c92b19cd31adfc2a3bde2d9bb5b /buch/chapters/030-geometrie | |
| parent | add some info on elliptic functions (diff) | |
| download | SeminarSpezielleFunktionen-50d4a6fb4adb0a24acdb987a3e5108de66187651.tar.gz SeminarSpezielleFunktionen-50d4a6fb4adb0a24acdb987a3e5108de66187651.zip | |
add ellipsenumfang
Diffstat (limited to 'buch/chapters/030-geometrie')
| -rw-r--r-- | buch/chapters/030-geometrie/laenge.tex | 6 |
1 files changed, 5 insertions, 1 deletions
diff --git a/buch/chapters/030-geometrie/laenge.tex b/buch/chapters/030-geometrie/laenge.tex index b0b1b32..aebc13d 100644 --- a/buch/chapters/030-geometrie/laenge.tex +++ b/buch/chapters/030-geometrie/laenge.tex @@ -306,12 +306,16 @@ $\beta$ ist dann l(\alpha,\beta) = \int_\alpha^\beta +\sqrt{ a^2 \sin^2 t + b^2 \cos^2t +} \,dt = -a^2 +a \int_\alpha^\beta +\sqrt{ \sin^2 t + \frac{b^2}{a^2} \cos^2t +} \,dt. \] Auch dieses Integral ist nicht in geschlossener Form lösbar. |