Table of multiples: double, triple and sextuple ratios
A magnitude halved and divided into thirds, marked with sextuple and triple ratios
Headed with the numeral 3 and the note 'a b, multiples', this page shows magnitudes split into equal parts. The segments e and f (36 and 30) are each halved (18 18; 15 15), while a and c (18 and 15) are divided into three equal parts (6 6 6; 5 5 5). The rows are labelled with the ratio-marks 'sextuple' (6la) and 'triple' (3la), and b 6 and d 5 close the table. The writing is faint pencil gone over in pen.
On this page
A segment halved and cut into thirds
The segment e is marked 36 and split by a bar into two eighteens (18 | 18); f is marked 30 and split into two fifteens. Below, a of 18 is divided by two bars into three sixes (6 6 6) and c of 15 into three fives (5 5 5), demonstrating the equal division of a magnitude.
Sextuple and triple ratio marks
The rows are flanked by the abbreviations '6la' (sextuple) and '3la' (triple), classifying the compared terms by multiplex ratio. The values b 6 and d 5 stand beneath as the reduced units of the divisions above.