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Diffstat (limited to 'buch/chapters/110-elliptisch/experiments/agm.maxima')
-rw-r--r-- | buch/chapters/110-elliptisch/experiments/agm.maxima | 26 |
1 files changed, 0 insertions, 26 deletions
diff --git a/buch/chapters/110-elliptisch/experiments/agm.maxima b/buch/chapters/110-elliptisch/experiments/agm.maxima deleted file mode 100644 index c7facd4..0000000 --- a/buch/chapters/110-elliptisch/experiments/agm.maxima +++ /dev/null @@ -1,26 +0,0 @@ -/* - * agm.maxima - * - * (c) 2022 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule - */ - -S: 2*a*sin(theta1) / (a+b+(a-b)*sin(theta1)^2); - -C2: ratsimp(diff(S, theta1)^2 / (1 - S^2)); -C2: ratsimp(subst(sqrt(1-sin(theta1)^2), cos(theta1), C2)); -C2: ratsimp(subst(S, sin(theta), C2)); -C2: ratsimp(subst(sqrt(1-S^2), cos(theta), C2)); - -D2: (a^2 * cos(theta)^2 + b^2 * sin(theta)^2) - / - (a1^2 * cos(theta1)^2 + b1^2 * sin(theta1)^2); -D2: subst((a+b)/2, a1, D2); -D2: subst(sqrt(a*b), b1, D2); -D2: ratsimp(subst(1-S^2, cos(theta)^2, D2)); -D2: ratsimp(subst(S, sin(theta), D2)); -D2: ratsimp(subst(1-sin(theta1)^2, cos(theta1)^2, D2)); - -Q: D2/C2; -Q: ratsimp(subst(x, sin(theta1), Q)); - -Q: ratsimp(expand(ratsimp(Q))); |