Chapter 6: On the second division of all number

1. All number is considered either with reference to itself or in relation to something. The former is divided as follows: some are equal, as for example, two; others are unequal, as for example, three.[248] The latter is divided as follows: some are greater, some are less. The greater are divided as follows: into _multiplices_ (multiple), _superparticulares_, _superpartientes_, _multiplices superparticulares_, _multiplices superpartientes_. The less are divided as follows: _Sub-multiplices_ (sub-multiple), _sub-superparticulares_, _sub-superpartientes_, _sub-multiplices sub-superparticulares_, _sub-multiplices sub-superpartientes_.

[248] The examples are found in Du Breul. They do not appear in
Arevalo.

6. ... The _superparticularis numerus_ is when a greater number contains in itself a lesser number with which it is compared, and at the same time one part of it.

7. For example; III when compared with II contains in itself two and also one, which is the half of two. IV when compared with III, contains three and also one, which is the third of three. Likewise V, when compared with IV, contains the number four and also one, which is the fourth part of the said number four, and so on.

8. The _superpartiens numerus_ is that which contains the whole of a lesser number and in addition two parts of it, either thirds or fifths or other parts. For example, when V is compared with III, the number five contains three and in addition to this two parts of it.