1924　京都帝国大学　工学部MathJax

【１】 Find the length of the part of the tangent to the ellipse

${\displaystyle \frac{x^2}{a^2}}+{\displaystyle \frac{y^2}{b^2}}=1$

intercepted by the $x$ and $y$ axes.

【２】 Find the area between one arch of the cycloid

$x=a(\theta -\sin \theta )$

$y=a(1-\cos \theta )$

and its base line.