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diff --git a/buch/chapters/110-elliptisch/experiments/agm.maxima b/buch/chapters/110-elliptisch/experiments/agm.maxima
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+/*
+ * 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)));