Arcs are not proportional to their chords and sagittae
Faint geometric studies of circles, tangents and inscribed triangles
This lightly drawn sheet is covered with faint geometric constructions: triangles, a large circle and a small circle linked by radiating and tangent lines, and two small square figures with numbers in the upper margin. A single line of text states that the proportions of arcs are not the same as those of their chords and their sagittae (versed sines). Much of the sheet consists of pale construction lines, and further untranscribed numerals accompany the marginal squares.
On this page
Arcs, chords and sagittae are not in the same proportion
The proportions of arcs are not the same as the proportions of their chords and their sagittae. The relation between two arcs therefore cannot be read directly from the chords or versed sines that subtend them.
Circles with tangents and inscribed triangles
On the right of the sheet a large circle and a smaller circle are tied together by straight lines drawn as tangents and secants, with triangles reaching to and from their circumferences. Additional faint triangular constructions spread across the left half of the sheet.
Two small numbered square figures
In the upper margin two small square figures each carry numbers beneath them, apparently comparing quantities in the proportional argument set out in the note. The digits themselves are not given in the transcription.