Classical Arithmetic, Lesson 08. Book I, Chapter 8

The following tasks are required to complete this lesson:

    1. Study the Lesson carefully.
    2. Move on to the next lesson.

Lesson

The odd number also is that which is separated from the nature and essence of the even number; since the latter can be divided into two equal parts, but the former is prevented from this equality of division by the intervention of unity. In a similar manner also it has three subdivisions:  (1) one of these, being the number which is called first and incomposite; (2) another, that which is second and incomposite ; and (3) the third, that which subsists as a medium between these, and naturally derives some thing from both through its alliance to each; which is of itself indeed second and composite, but with reference to others is found to be first and incomposite.

Assessment

When finished studying this lesson, you may move on to the next lesson.