previous next
3. [9]

(That a discrete proportion1 has four terms is plain, but so also has a continuous proportion, since it treats one term as two, and repeats it: for example,2 as the line representing term one is to the line representing term two, so is the line representing term two to the line representing term three; here the line representing term two is mentioned twice, so that if it be counted twice, there will be four proportionals.)

1 A ‘discrete proportion’ means one in which the two ratios are disconnected, being between different terms, whereas in a ‘continuous proportion’ they have one term in common.

2 Here the lecturer displayed a diagram.

hide Places (automatically extracted)

View a map of the most frequently mentioned places in this document.

Download Pleiades ancient places geospacial dataset for this text.

hide Display Preferences
Greek Display:
Arabic Display:
View by Default:
Browse Bar: