London: Excudebat Guil. Godbid, Voeneunt apud Robertum Scott, 1675.
Opera [and:] Apollonii Pergæi Conicorum Libri IIII [and:] Theodosii Sphærica: Methodo Nova. Illustrata, & Succincte Demonstrata. Per Isaacum Barrow...London: Excudebat Guil. Godbid, Voeneunt apud Robertum Scott, 1675.
First edition of Barrow's translation of the known works of Archimedes. Three works in one quarto volume. Quarto (7 3/4 x 6 3/8 inches; 197 x 162 mm). , 144, 245-285 [i.e. 185], [1, blank], [1, errata], [1, blank]; , 104; , 38, [2, blank] pp. Complete with twenty-nine folding copperplates. With a general title-page and separate title-pages for each of the three works. With blanks the leaf with glossary of mathematical symbols "Brevitatis Gratis" which is often lacking.
Full contemporary vellum. Spine with ink manuscript title. Inner hinge cracked. Bottom of spine with some chipping. Some occassional worming, generally to margins and usually not affecting text. Worming minorly affecting a few folding plates and endpapers with more worming. Some toning throughout, mainly to folding plates. Contemporary ink notes to front pastedowns and on a few leaves. Overall a very good copy.
"The first editions of Archimedes, Apollonius and Theodosius to be published in England. The addition of these three classics of mathematics generally, and geometry in particular, to the more widely available Euclid, showed that English mathematical publishing was coming of age and catching up with that on the continent, twelve years before the publication of Newton's Principia. To Archimedes we owe much of modern analytical geometry, mechanics and hydrostatics, including practical applications to pulleys and levers. Apollonius's conics (the four first books here being all that survived in Greek) recognized that the parabola, ellipse and hyperbola (names coined in this treatise) were all special cases of the conic section. The treatise by Theodosius, inventor of a universal sundial, covers spherical geometry. Isaac Barrow (1630-1677), eminent mathematician and royalist theologian, was appointed professor of mathematics at Cambridge in 1663, but in 1669 turned over the professorship to his twenty-two-year-old pupil Isaac Newton in order to devote himself to theology. While his mathematical career was hampered by his royalism during the interregnum, his own preference for theology and his death at the age of forty-seven, he still paved the way for Newton and the ascendancy of British mathematics." (PBA Galleries).
ESTC R6704. Babson 249.