III. To divide a Line as any other Line proposed is di∣vided; that is to say, according to any Proportion.
SUppose you saw a Line, containing 65 equal parts of the Sector devided into three pieces, the first containing five equal parts of the Sector, the other fifteen, so that the last must be 45; then suppose you would divide (after this proportion) another Line, containing but thirteen equal parts of the Sector; Open your Compasses at 13, or length of the Line to be devi∣ded, and putting it over at 65, and 65 on the Sector, the Pa∣rallel at 5 and 5 will be the first division of the Line to be divi∣ded, and one equal part of the Sector in value; the Parallel at 15 and 15 will be the second, and three equal parts in value; and the remainder (being 9 in value,) will be the third; and thus you may do in all other cases.