BOOK I.

The page begins by describing how a number grows from a certain principle, namely one, into infinity. It discusses whether, if we wish to place its parts in certain stations, there are only smaller portions to which we can assign such places. We, who are accustomed to state one thousand five hundred and sixty-four original: "mille ante quingentos, & quatuor post sexaginta", can we establish the first place in this Logistic elsewhere than to the right? I would believe that the ancient Pythagoreans discovered these marks and their logistic: as there is some mention of this matter in those things which are inscribed to Severinus concerning Geometry. However, whoever the inventor was, there are only ten of these,

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Logistic marks

1, 2, 3, 4, 5, 6, 7, 8, 9, 0,

of which the first signifies one; the second, two; the third, three; the fourth, four; the fifth, five; the sixth, six; the seventh, seven; the eighth, eight; the ninth, nine; the tenth, nothing. And those which we call from their signification: the first, One, and in Greek Monada a unit, and the mark of one or the monad, and the singular mark. Severinus indeed said UNITY with Macrobius: but unity means something else according to Columella and Pliny. The second, two, the mark of two, and the dual mark, and in Greek sometimes dyada a pair. The third, three, the mark of the ternary number, the ternary mark, the ternion, and sometimes also from the Greek word, the triad. The fourth, four, the mark of the quaternary, and the quaternary. The fifth, five, the mark of the quinary, and the quinary. The sixth, six, the senion, the mark of the senary, and the senary. The seventh, seven, the mark of the septenary, and the septenary. The eighth, eight, the octo-