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A history of Greek mathematics - Wilbourhall.org

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XVI<br />

SOME HANDBOOKS<br />

The description <strong>of</strong> the handbook on the elements <strong>of</strong><br />

astronomy entitled the Introduction to the Phaenomena and<br />

attributed to Geminus might properly have been reserved<br />

for this chapter. It was. however, convenient to deal with<br />

Geminus in close connexion with Posidonius ; for Geminus<br />

wrote an exposition <strong>of</strong> Posidonius's Meteorologica related to the<br />

original work in such a way that Simplicius, in quoting a long<br />

passage from an epitome <strong>of</strong> this work, could attribute the<br />

passage to either Geminus or ' Posidonius in Geminus<br />

'<br />

; and it<br />

is evident that, in other subjects too, Geminus drew from, and<br />

was influenced by, Posidonius.<br />

The small work De motu circulari corporum caelestium by<br />

Cleomedes (KXe<strong>of</strong>irjSovs kvkXlktj Oecopfa) in two Books is the<br />

production <strong>of</strong> a much less competent person, but is much more<br />

largely based on Posidonius.<br />

This is proved by several references<br />

to Posidonius by name, but it is specially true <strong>of</strong> the<br />

very long first chapter <strong>of</strong> Book II (nearly half <strong>of</strong> the Book)<br />

which seems for the most part to be copied bodily from<br />

Posidonius, in accordance with the author's remark at the<br />

end <strong>of</strong> Book I that, in giving the refutation <strong>of</strong> the Epicurean<br />

assertion that the sun is just as large as it looks, namely one<br />

foot in diameter, he will give so much as suffices for such an<br />

introduction <strong>of</strong> the particular arguments used by 'certain<br />

authors who have written whole treatises on this one topic<br />

(i. e. the size <strong>of</strong> the sun), among whom is Posidonius '. The<br />

interest <strong>of</strong> the book then lies<br />

mainly in what is quoted from<br />

Posidonius ; its mathematical interest is almost ail.<br />

The date <strong>of</strong> Cleomedes is not certainly ascertained, but, as<br />

he mentions no author later than Posidonius, it<br />

is permissible<br />

to suppose, with Hultsch, that he wrote about the middle <strong>of</strong>

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