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Dear Jack,
the Arachne of the Amphiareion is no horizontal dial, but equatorial. In the
meanwhile there are at least 6 equatorial dials known from antiquity, some
were made for temporal hours, some for equinoctial hours.
You may have look at the not yet completed digital archive of Greco-Roman
sundials http://repository.edition-topoi.org/projektinfo.php?project=BSDP K.
Sorry for double-posting.
?
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