A new and complete dictionary of arts and sciences : comprehending all the branches of useful knowledge, with accurate descriptions as well of the various machines, instruments, tools, figures, and schemes necessary for illustrating them, as of the classes, kinds, preparations, and uses of natural productions, whether animals, vegetables, minerals, fossils, or fluids : together with the kingdoms, provinces, cities, towns, and other remarkable places throughout the world : illustrated with above three hundred copper-plates, engraved by Mr. Jefferys, geographer to His Majesty : the whole extracted from the best authors in all languages (1763)

Society of Arts (Great Britain). Society of Gentlemen, Jefferys, Thomas, -1771, Grignion, Charles, 1721-1810, Wale, Samuel, d. 1786, Owen, W. (William), d. 1793 · London : Printed for W. Owen, at Homer's Head, in Fleet-Street · leaf 845

An illustration from A new and complete dictionary of arts and sciences : comprehending all the branches of useful knowledge, with accurate descriptions as well of the various machines, instruments, tools, figures, and schemes necessary for illustrating them, as of the classes, kinds, preparations, and uses of natural productions, whether animals, vegetables, minerals, fossils, or fluids : together with the kingdoms, provinces, cities, towns, and other remarkable places throughout the world : illustrated with above three hundred copper-plates, engraved by Mr. Jefferys, geographer to His Majesty : the whole extracted from the best authors in all languages, 1763, leaf 845 — ural arithmetic progreflion is that which begins with 0 : as^/_i_j_i / _i_ j S i creating. In any arithmetical progidhon, > a ^ r firft term -» \ d I 1 common difference, / <ri \\>z the«v number of terms, \Jli J )a(t term, J ^s vfum of all the terms; If then any three of thefe term9 being… … zs — a + lxn. Confequently, 1 :-::#-f- /: s. 2 From this the following corollaries natu-rally follow. _ is . is—nl t Cor. I. a———-/—————2/—nl x- n n n Cor. II. a— ;=■» x -~z sx • a+l a+l a+l ^ ttt ; iS is—na Cor. III. / ———a = — 2 s—» n ax • Cor. IV. s-xa-rl- nx n+l__na+nl Lemma II. In any…

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