1922年(大正11年)京都帝國大學工學部-數學(全4問)

[1] Find the common area of two equal circles (radii ), the center of each being of the circumference of the other.

[2] Find the values of between and , satisfying the equation
.

[3] Find the radius of curvature of an ellipse (semi major and minor axes , and ) at the major axis end.

[4] Find the value of .