Previously Unpublished Works, Fascicle 16

SECOND DISTINCTION

18

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Chapter 1: It gives the reason why these divisions are counted among common things. Second, it sets down definitions of certain common things through which the definitions of the parts of quantity are given.

23

Chapter 2: In which the text proceeds to describe quantity and its three species: the line, the surface, and the body. It also provides their order.

27

Chapter 3: Concerning the angle and the figure and their division or "its division". These are considered in a general way so that the types of continuous quantity might be better understood.

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Chapter 4: Concerning place and time.

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Chapter 5: It first describes number along with unity. Second, it describes the species of number that is equal in age to it.

THIRD DISTINCTION

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Chapter 1: Concerning the division of Mathematics into nine parts, along with their order.

41

Chapter 2: Concerning the division of speculative and practical Geometry as it pertains to its first principal part, which contains many sub-sections.

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Chapter 3: Concerning the second principal part of practical Geometry and the other parts up to the eighth.

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Chapter 4: Concerning the division of speculative and practical Arithmetic.

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Chapter 5: Concerning the division of celestial science, which is divided into Astrology and Astronomy.

FOURTH DISTINCTION

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Chapter 2: In which it is proved that there is no "music of the world" original: "musica mundana," the ancient concept of the music of the spheres nor "human music," as those terms are commonly used.

54

Chapter 3: Concerning the true division of Music according to the division of its subject.

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Chapter 4: (Concerning the praises of Music).