Figure 7. The estimated round circle.

in Figure 4, but by now it can be possible to formulate some hypothesis.

The regularity of these deviations and their increase in correspondence of the middle web allow us to surmise that Filippo created it for precise reasons, perhaps these regarding statics.

A second hypothesis results from the assumption that these deviations occurred during and after the construction of the dome because of the movements which were due to cracks (Opera del Duomo 1691, Fondelli 2004), elastic deformations, thermal expansion.

4.2 Further research on the dimensions of the dome

The following angles were considered:

- the angle made by the planes containing the two circles. This angle is 44,92°. Notice the analogous geometrical angle of the octagon is 45°.

Table 1. Surveyed dimensions.


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