The seventh book of Pappus's Collection, his commentary on the Domain
(or Treasury) of Analysis, figures prominently in the history of both
ancient and modern mathematics: as our chief source of information
concerning several lost works of the Greek geometers Euclid and
Apollonius, and as a book that inspired later mathematicians, among them
Viete, Newton, and Chasles, to original discoveries in their pursuit of
the lost science of antiquity. This presentation of it is concerned
solely with recovering what can be learned from Pappus about Greek
mathematics. The main part of it comprises a new edition of Book 7; a
literal translation; and a commentary on textual, historical, and
mathematical aspects of the book. It proved to be convenient to divide
the commentary into two parts, the notes to the text and translation,
and essays about the lost works that Pappus discusses. The first
function of an edition of this kind is, not to expose new discoveries,
but to present a reliable text and organize the accumulated knowledge
about it for the reader's convenience. Nevertheless there are novelties
here. The text is based on a fresh transcription of Vat. gr. 218, the
archetype of all extant manuscripts, and in it I have adopted numerous
readings, on manuscript authority or by emendation, that differ from
those of the old edition of Hultsch. Moreover, many difficult parts of
the work have received little or no commentary hitherto.