Eliae Vineti ... de logistica libri tres

2 kinds

Then, when the barbaric term began to gradually displease, they believed they could call that Algorismus more elegantly by the name Practical Arithmetic. Therefore, they made two kinds of ARITHMETIC: Speculative Arithmetic and Practical. What had always been, in my judgment, a single and simple genus among their own Greeks and the ancient Latins. For they called that discipline Arithmetic which asks: what is Number, what are its kinds, what is the nature and power of number, as can be known from the Arithmetics of Euclid, Nicomachus, Severinus Boethius, Capella, and Cassiodorus. But it is not that which instructs one about calculating. Among the ancients, I know only the architect Vitruvius Pollio who accepted arithmetic in this way, when he says in his first book: original: "Per Arithmeti-cèn sumtus ædificiorum consummantur. mensurarum rationes explicantur. difficilésque symmetriarum quæstiones geometricis rationibus, & methodis inueniuntur." "Through Arithmetic, the costs of buildings are calculated, the ratios of measures are explained, and difficult questions of symmetries are found by geometric ratios and methods." But the ancient and new Greek writers, among whom I would name Plato, Proclus, and Eutocius, when they wish to signify that Algorismus and that practical arithmetic, I believe they say Logistikē. A certain Diophantus indeed wrote about it, as I hear; but I have not yet seen his books, which they say lie hidden in Italian libraries, nor if any other Greek has written on it, so that I have not yet discovered how it was named by its Greek writers, whether it was also logistikē.

Logistic 3 kinds

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