Line-segments in quintuple proportion (quincupla)
Lettered lengths annotated with a note on fivefold ratio
The sheet lays out lettered horizontal segments carrying lengths - g = 52, f = 24, m = 48, n = 4, a = 12, c = 24, L = 2, b = 4, d = 8, h = 20, K = 40 - with the intermediate totals 52 and 26 noted between them. The single word 'quincupla' (quintuple) flags a fivefold relation among some of the magnitudes, for instance K = 40 as five times 8. It continues Notebook K's exercises in the ratios between measured lines, drawn in pencil and gone over in pen.
On this page
The note 'quincupla' (quintuple)
Among the lettered lengths the writer inserts the term 'quincupla', quintuple, marking a fivefold ratio between segments on the page. The values b = 4, d = 8, h = 20 and K = 40 track doublings and a fivefold step, and the running sums 52 and 26 gather groups of them.
