In a circle, if two straight lines, which are not through the center, cut one another then they do not cut one another in half. * Let $ABCD$ be a circle, and within it, let two straight lines, $AC$ and $BD$, which are not through the center, cut one another at (point) $E$. * I say that they do not cut one another in half.
Let $AC$ und $BD$ be chords, which do not go through the center of a given circle. If $AC$ and $BD$ cut one another, then they do not bisect each other.
Proofs: 1