Just a comment (and it's my first word in this mailing list),
> kai to upo twn KZ,ZH ara ison esti tw apo ths ZQ
In a case like this, "KZ, ZH" is usually written as KZH,
(see, for example *Elements* XIII-10), and Apollonius often
(not always) omits the article "twn"; e.g.
kai estin ison to hypo EQD tw hypo PSO (*Conics* I-15, P.62,8-9).
(the rectangle contained by EQ, QD is also equal to the rectangle
contained by PS, SO)
I have the impression that the question of the type
"whether line segments that contain a rectangle are two lines or
one thing" was quite alien for mathematicians
like Archimedes and Apollonius
Yours,
Ken
-- Ken SAITO (ksaito@hs.cias.osakafu-u.ac.jp, ksaito@nisiq.net) Department of Human Sciences College of Integrated Arts and Sciences Osaka Prefecture University 599-8531 Sakai (Osaka), Japan