31.10.2014 Views

A history of Greek mathematics - Wilbourhall.org

A history of Greek mathematics - Wilbourhall.org

A history of Greek mathematics - Wilbourhall.org

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

ASTRONOMY, ETC. 109<br />

word 'Ao-Tpov<strong>of</strong>jLia (Suidas), which latter word is perhaps a mistake<br />

for 'Ao-rpoOeo-la corresponding to the title 'AcrrpoOeo-icu<br />

(coSloov found in the manuscripts. The work as we have it<br />

contains the story, mythological and descriptive,<br />

<strong>of</strong> the constellations,<br />

&c., under forty-four heads ; there is little or<br />

nothing belonging to astronomy proper.<br />

Eratosthenes is also famous as the first to attempt a scientific<br />

chronology beginning from the siege <strong>of</strong> Troy; this was the<br />

subject<br />

<strong>of</strong> his Xpovoypa(piai, with which must be connected<br />

the separate 'OXv/imovLKai in several books. Clement <strong>of</strong><br />

Alexandria gives a short resumS <strong>of</strong> the main results <strong>of</strong> the<br />

former work, and both works were largely used by Apollodorus.<br />

Another lost work was on the Octaeteris (or eightyears'<br />

period), which is twice mentioned, by Geminus and<br />

Achilles ; from the latter we learn that Eratosthenes regarded<br />

the work on the same subject attributed to Eudoxus<br />

as not genuine. His Geographica in three books is mainly<br />

known to us through Suidas's criticism <strong>of</strong> it. It began with<br />

a <strong>history</strong> <strong>of</strong> geography down to his own time ;<br />

Eratosthenes<br />

then proceeded to mathematical geography, the spherical form<br />

<strong>of</strong> the earth, the negligibility in comparison with this <strong>of</strong> the<br />

unevennesses caused by mountains and valleys, the changes <strong>of</strong><br />

features due to floods, earthquakes and the like. It would<br />

appear from Theon <strong>of</strong> Smyrna's allusions that Eratosthenes<br />

estimated the height <strong>of</strong> the highest mountain to be 10 stades<br />

or about 1/ 8000th part <strong>of</strong> the diameter <strong>of</strong> the earth.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!