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How he provided direction into philosophy through symbols; and the hidden demonstration of doctrines, which were explained only to those who possessed the learning handed down by Pythagoras, following the custom of the Egyptians and the most eminent Greek theologians.
Ch. XXII.

On the foods from which Pythagoras universally abstained, and those from which he commanded his friends to abstain; and how he established various laws concerning these things according to the specific lives of individuals, and for what reasons.
Ch. XXIII.

Note: Chapter XXIV is omitted in the original index numbering on this page.

How he educated different men through music and melody according to the occasion, and especially through παραψυχή original: παραψυχή (parapsyche); meaning "refreshment," "diversion," or "consolation of the soul". Through this, he performed various purifications of the passions and healings of illnesses of the body and soul; and how he practiced these.
Ch. XXV.

How Pythagoras made his discoveries; from what process [he discovered] harmony and the sound of harmonics; and how he passed on all knowledge concerning these matters to his listeners.
Ch. XXVI.

How many civic and commonly useful benefits he gave to people through his deeds and reasoning; through the constitution of cities and the establishment of laws; and through many other beautiful practices and the diligent cares of himself and his companions.
Ch. XXVII.

How many divine and wondrous works he performed, and how he reformed unholy worship original: erexit impium cultum; in this context, it refers to Pythagoras correcting or uprooting superstitious practices to establish true piety; and how, through the mercy of the gods, the greatest benefits are offered to humanity, having been transmitted to the mortal race through Pythagoras.
Ch. XXVIII.

Concerning the wisdom of Pythagoras: what it was, and into how many categories and kinds he divided it; and how he rectified and gave to men that which provides directness and sincerity, from the highest down to the lowest cognitive powers.
Ch. XXVIIII.

Concerning Justice: how much Pythagoras contributed to it for mankind, and how he taught and handed it down to all, from its highest origins down to its final expressions.
Ch. XXX.

Concerning Temperance: how Pythagoras practiced, and taught it; and passed it to men through his words, works, and every pursuit; and how many species of it there are, and which ones he established among men.
Ch. XXXI.

Concerning Fortitude: how many and what kind of instructions Pythagoras gave.