1499.

Theophrastus on the ebb and flow of the tide, and of eddies, and on water. [Footnote:  The Greek philosophers had no opportunity to study the phenomenon of the ebb and flow of the tide and none of them wrote about it.  The movement of the waters in the Euripus however was to a few of them a puzzling problem.]

1500.

Tryphon of Alexandria, who spent his life at Apollonia, a city of Albania (163). [Footnote:  Tryphon of Alexandria, a Greek Grammarian of the time of Augustus.  His treatise TtaOY Aeijecu appeared first at Milan in 1476, in Constantin Laskaris’s Greek Grammar.]

1501.

Messer Vincenzio Aliprando, who lives near the Inn of the Bear, has
Giacomo Andrea’s Vitruvius.

1502.

Vitruvius says that small models are of no avail for ascertaining the effects of large ones; and I here propose to prove that this conclusion is a false one.  And chiefly by bringing forward the very same argument which led him to this conclusion; that is, by an experiment with an auger.  For he proves that if a man, by a certain exertion of strength, makes a hole of a given diameter, and afterwards another hole of double the diameter, this cannot be made with only double the exertion of the man’s strength, but needs much more.  To this it may very well be answered that an auger

1503.

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.