THE COLLECTION 
359 
sizes and distances of the sun and moon), Autolycus (On the 
moving sphere), Carpus of Antioch (who is quoted as having 
said that Archimedes wrote only one mechanical book, that 
on sphere-making, since he held the mechanical appliances 
which made him famous to be nevertheless unworthy of 
written description: Carpus himself, who was known as 
mechanicus, applied geometry to other arts of this practical 
kind), Charmandrus (who added three simple and obvious loci 
to those which formed the beginning of the Plane Loci of 
Apollonius), Conon of Samos, the friend of Archimedes (cited 
as the propounder of a theorem about the spiral in a plane 
which Archimedes proved: this would, however, seem to be 
a mistake, as Archimedes says at the beginning of his treatise 
that he sent certain theorems, without proofs, to Conon, who 
would certainly have proved them had he lived), Demetrius of 
Alexandria (mentioned as the author of a work called ‘ Linear 
considerations ’, ypappuKal enLaTcccreis, i.e. considerations on 
curves, as to which nothing more is known), Dinostratus, 
the brother of Menaechmus (cited, with Nicornedes, as having 
used the curve of Hippias, to which they gave the name of 
quadratrix, Terpaycovi^ovcra, for the squaring of the circle), 
Diodorus (mentioned as the author of an Ancdemma), Erato 
sthenes (whose mean-finder, an appliance for finding two or 
any number of geometric means, is described, and who is 
further mentioned as the author of two Books ‘ On means * 
and of a work entitled ‘ Loci with reference to means ’), 
Erycinus (from whose Paradoxa are quoted various problems 
seeming at first sight to be inconsistent with Eucl. I. 21, it 
being shown that straight lines can be drawn from two points 
on the base of a triangle to a point within the triangle which 
are together greater than the other two sides, provided that the 
points in the base may be points other than the extremities), 
Euclid, Geminus the mathematician (from whom is cited a 
remark on Archimedes contained in his book ‘ On the classifica 
tion of the mathematical sciences ’, see above, p. 223), Heraclitus 
(from whom Pappus quotes an elegant solution of a vevcrts 
with reference to a square), Hermodorus (Pappus’s son, to 
whom he dedicated Books VII, VIII of his Collection), Heron 
of Alexandria (whose mechanical works are extensively quoted 
from), Hierius the philosopher (a contemporary of Pappus,