Conclusion

Thus, the given line K.3 is divided into 28 equal parts. From this line, if it is bent around, a circle b.c. is formed; likewise, a square can be understood in relation to the circle. For it is necessary that 7 parts of the aforementioned given line K.3 be assigned to each of the square's sides, and by this square, the entire circle is divided into four equal portions.

Indeed, when the circle is drawn, the square is enclosed within it, except for the corners of the square which reach and extend outside the circle. For the sides of the square cannot be entirely contained within the aforementioned circle because both the square and the orb original: "orbis"; here referring to the circle measure a fourth part, and the fourth part of both the square and the orb are of the same quantity The author is explaining that if a square's perimeter and a circle's circumference are both 28, then one side (7) and one quarter-arc (7) have the same "quantity" or length..

A straight line of the same quantity as a curved one always extends further [linearly] than the curve, as is clear from the definition of a straight line, which is the shortest extension from one point to another. A curved line, however, is that which curves between its endpoints. For this reason, the corners of the square will necessarily protrude outside the circle.

But since any quarter of the circle—though it is not stretched straight but is curved and arched—is of the same quantity as a quarter of the square, the whole square can in no way be included entirely within the circle. Nor is it possible for the whole circle to be included within the square, unless the square were larger than the circle. But since both the circle and the square itself are of the same quantity meaning they have the same perimeter/circumference as was said before, neither is the whole circle included in the square, nor the square in the circle, as will be shown below.

And so, since both the circle b.c. and the square d.e. consist of and are composed from the given line K.3 distributed into 28 equal parts, it is necessary that the individual sides of the square and the parts of the circle bounded by the sides of the square consist of 7 parts, namely...