of double the diameter cannot be moved by double the exertion, be- cause the superficies of a body of the same form but twice as large has four times the extent of the superficies of the smaller, as is shown in the two figures a and n.
1504.
OF SQUARING THE CIRCLE, AND WHO IT WAS THAT FIRST DISCOVERED IT BY ACCIDENT.
Vitruvius, measuring miles by means of the repeated revolutions of the wheels which move vehicles, extended over many Stadia the lines of the circumferences of the circles of these wheels. He became aware of them by the animals that moved the vehicles. But he did not discern that this was a means of finding a square equal to a circle. This was first done by Archimedes of Syracuse, who by multiplying the second diameter of a circle by half its circumference produced a rectangular quadrilateral equal figure to the circle [Footnote 10: Compare No. 1475.].
[Footnote: Vitruvius, see also Nos. 1113 and 343.]
1505.
Virgil says that a blank shield is devoid of merit because among the people of Athens the true recognition confirmed by testimonies …
[Footnote: The end of the text cannot be deciphered.]
1506.
In Vitolone there are 805 conclusions [problems] in perspective.