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Codex Atlanticus — 0776 v

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© Veneranda Biblioteca Ambrosiana, Milan

Colonna sinistra. Figura:

1

Figura:

2

Figura:

3 - n - a - m
per 20a
per la 3a concep[tione]

Figura:

4

Colonna destra. Tre segmenti:

sempre 2 maggiore che la 3

Figura seconda:

per 3a

Figura quarta:

difinizion del circolo

Left column. Figure:

1

Figure:

2

Figure:

3 - n - a - m. By the 20th [proposition]. By the 3rd conception [common notion].

Figure:

4

Right column. Three segments:

always 2 greater than the 3

Second figure:

by the 3rd

Fourth figure:

definition of the circle

Geometrical Figures Keyed to Euclid

Numbered figures citing propositions, conceptions and the definition of the circle

Geometry Arithmetic & Proportion

On the verso, mounted fragments carry a series of small numbered geometrical figures arranged in a left and a right column, one showing lune-like portions within a fanned semicircle and another with stacked triangles beside small numbered circles. The brief captions key the figures to Euclidean reasoning: figure 3 (lettered n, a, m) is justified 'by the 20th' proposition and 'by the 3rd conception,' a set of three segments is noted as 'always 2 greater than the 3,' and a fourth figure is glossed as the 'definition of the circle.'

On this page

Figures justified by Euclid's propositions and axioms

Figure 3 is lettered n, a, m and defended 'by the 20th' proposition and 'by the 3rd conception' (common notion), while a second figure is carried 'by the 3rd' and a fourth is glossed as the 'definition of the circle.' The captions treat the drawings as steps in a Euclidean demonstration.

Comparison of three segments

A right-column note on three segments states that one is 'always 2 greater than the 3,' comparing the magnitudes of the parts against one another.

Reader's Edition — described with AI from the e-Leo transcription.