Lunes in quarter-and-eighth proportion, with a letter draft
Overlapping circular quadrants and sectors, plus a personal note in ordinary script
Small figures of overlapping circular quadrants and sectors are annotated 'quarter and quarter' and 'quarter and eighth', with claims that certain lunes are similar to a twelfth or an eighth of their circle. One note explains how, for lune-shapes born of circles double one another, removing a half portion from the larger and a whole from the smaller makes them equal. Set apart, in ordinary (non-mirror) script, is the draft of a personal letter beginning 'since I left there I have not written to you', mentioning a certain Domenico. A cluster of repeated syllables shows the writer rehearsing the same opening lines.
On this page
Quadrant figures similar to fractions of a circle
In the 'quarter and quarter' figure a b equals c and each part is similar to a twelfth of its circle. In the analogous figure a, b, c are equal and each is similar to an eighth of its circle.
Equalising lunes from doubled circles
When the lune-pyramid is made of curves born of circles double one another, one removes from the larger circle a half portion and from the smaller a whole one; being the quarter with the eighth, they then come out equal.
Draft of a personal letter
In ordinary script, apart from the geometry, is a broken draft addressed to someone: since leaving, the writer has not written because he wished to, expressing no doubt, and noting that Domenico told him to say everything.
