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现代符号
The use of French loan words, such as million, along with some modern notation, indicates the author's familiarity with developments in the teaching of arithmetic at the time.
Of course, we have translated this into modern notation for Aristarchus did not use degrees nor had trigonometry been invented so he did not have the sine function at his disposal.
For mathematicians of this time there was more than one type of cubic equation and Fior had only been shown by del Ferro how to solve one type, namely 'unknowns and cubes equal to numbers' or (in modern notation) x 3 + ax = b.
In 1896 he published Apollonius of Perga which presented the important text on conic sections using modern notation, and it contained an important preface giving details of previous Greek work on conic sections.
This book contains the first definition of a vector space given with a remarkably modern notation and style and, although it was not appreciated by many at the time, this is surely a quite remarkable achievement by Peano.
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