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A history of Greek mathematics - Wilbourhall.org

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PROCLUS 535<br />

second Book \ But at the time when the commentary on<br />

Book I was written he was evidently uncertain whether he<br />

would be able to continue it, for at the end he says, ' For my<br />

part, if I should be able to discuss the other Books in the<br />

same way, I should give thanks to the gods ; but, if other<br />

cares should draw me away, I beg those who are attracted by<br />

this subject to complete the exposition <strong>of</strong><br />

well,<br />

the other Books as<br />

following the same method and addressing themselves<br />

throughout to the deeper and more sharply defined questions<br />

involved '} Wachsmuth, finding a Vatican manuscript containing<br />

a collection <strong>of</strong> scholia on Books I, II, V, VI, X, headed Eis ra<br />

EvKXeiSou (TToi)(€ia TTpoXanfiavojieva €K toou UpoKXov (nropdSrju<br />

Kal kolt €7TLTo/xriu, and seeing that the scholia on Book I were<br />

extracts from the extant commentary <strong>of</strong> Proclus, concluded<br />

that those on the other Books were also from Proclus; but<br />

the 7r/oo- in TTpoXa\x$avbii£va rather suggests that only the<br />

scholia to Book I are from Proclus. Heiberg found and<br />

published in 1903 a scholium to X. 9, in which Proclus is<br />

expressly quoted as the authority, but he does not regard<br />

this circumstance as conclusive. On the other hand, Heiberg<br />

has noted two facts which go against the view that Proclus<br />

wrote on the later Books: (1) the scholiast's copy <strong>of</strong><br />

Proclus was not much better than our manuscripts ; in<br />

particular, it had the same lacunae in the notes to I. 36,<br />

37, and I. 41-3; this makes it improbable that the scholiast<br />

had further commentaries <strong>of</strong> Proclus which have vanished<br />

for us ; (2) there is no trace in the scholia <strong>of</strong> the notes<br />

which Proclus promised in the passages already referred to.<br />

All, therefore, that we can say is that, while the Wachsmuth<br />

scholia may be extracts from Proclus, it is on the whole<br />

improbable.<br />

Hypotyposis <strong>of</strong> Astronomical Hypotheses.<br />

Another extant work <strong>of</strong> Proclus which should be referred<br />

to is his Hypotyposis <strong>of</strong> Astronomical Hypotheses, a sort <strong>of</strong><br />

readable and easy introduction to the astronomical system<br />

<strong>of</strong> Hipparchus and Ptolemy. It has been well edited by<br />

Manitius (Teubner, 1909). Three things may be noted as<br />

1<br />

Proclus on Eucl. I, p. 432. 9-15.

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