The present Translation has been made from Proclus’s Greek Paraphrase of Ptolemy’s original text; the edition followed is that of the Elzevirs, dated in 1635.[4] But, in the course of translation, continual references have been also had to various editions of the original text, in order to ascertain the proper acceptation of doubtful passages. The editions thus inspected were that by Camerarius, printed at Nuremberg in 1535; that by Melancthon, printed at Basle in 1553; and that by Junctinus, printed, with his own enormous commentaries, at Lyons, in 1581. Independently of these references, the present translation has been collated with the Latin of Leo Allatius, and with two other Latin translations: one printed at Basle, together with a translation of the Almagest in 1541; the other by itself at Perugio, in 1646.[5] The Translator has devoted all this extreme care and attention to his labours, in the wish to render Ptolemy’s astro-judicial doctrine into English as purely and perfectly as possible; and, with the same view, he has likewise added, in an Appendix, certain extracts from such parts of the Almagest as were found to be referred to in his present work. Further illustration is also given by notes gathered from the “Primum Mobile” of Placidus,[6] and from a variety of other sources whence any elucidation of the text might be derived. Even Whalley’s “Annotations” (to use his own grandiloquent designation) have occasionally yielded information, not altogether unimportant, although generally incomplete. [4] This edition was printed in double columns, one containing Proclus’s Greek Paraphrase, the other the Latin translation of Leo Allatius; and William Lilly (no light authority in these matters) thus wrote of it in the year 1647: “Indeed Ptolemy hath been printed in folio, in quarto, in octavo, in sixteens: that lately printed at Leyden” (where cthe Elzevirs were established) “I conceive to be most exact; it was performed by Allatius.” To the said edition is prefixed an anonymous address to the reader, in Latin, and to the following effect:—