PAYNE, William

Elements of Trigonometry, Plain and Spherical; Applied to the most useful Problems in Heights and Distances, Astronomy and Navigation: for the use of learners.

Published: London: Printed by H. Hart ... and sold by T. Payne .. and M. Hingeston

Date: 772

first (sole) edition 8vo. [2 (title & dedication)], ii (preface), ii (contents), 215, [1]; 156pp., 3 folding plates, numerous woodcut diagrams, contemporary sprinkled calf, spine panelled by gilt highlighted raised bands, large lozenge gilt tool at panel centres, russet morocco label gilt, slight cracking at head of rear joint. Fine copy. Rare.

Inscribed on front endpaper "J: Parkinson/ Magd: Coll: Oxon:/ 1774" and extensive contemporary notes (presumably by Parkinson) on the rear endpapers. Another sheet of paper with further contemporary Mss. notes loosely inset.

ESTC t98345 locating copies only only in B.L., Edinburgh University, Oxford, T.C.D., Columbia Univ., Harvard, Yale and Queens's Univ. The first section, pages 1 to 215, is in three sections - Plain Trigonometry, Of Spherical Trigonometry and Of navigation. The second part containing tables of both logarithms and of sines and tangents is separately signed and paginated and had two divisional title pages. Payne (fl. 1748-72), a teacher of mathematics, "is described by his friend John Robertson (whose Treatise on Navigation he read in manuscript) as 'one experienced with the theory and practice of navigation'. His Introduction to Geometry (second edition 1768), dedicated to the Duke of York, is merely a simplification of Euclid. He also wrote Trigonometry (1772)" [E. G. R. Taylor The Mathematical Practitioners of Hanoverian England]. John Parkinson was at Magdalen 1772-75, was awarded a B.A. in 1774, was a Fellow 1775-98, and burser in 1787.


Offered by P & B Rowan