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William Jones Efq; F.R S. SIR, [T was a laudable cuftom among the ancient Geometers, and very worthy to be imitated by their SuccefTors, to addrefs their Mathematical labours, not fo much to Men of eminent rank and {ration in the world, as to Perfons of diftinguidi'd merit and proficience in the fame Studies. For they knew very well, that fuch only could be competent Judges of their Works, and would receive them with ''the efteem. they might deferve. So far at leaft I can copy after thofe great Originals, as to chufe a Patron for thefe Speculations, whofe known skill and abilities in fuch matters will enable him to judge, and whofe known candor will incline him to judge favourably, of the fhare I have had in the prefent performance. For as to the fundamental part of the Work, of which I am only the Interpreter, I know it cannot but pleafe you; it will need no protection, nor ean it receive a greater recommendation, than to bear the name of its illuftrious Author. However, it very naturally applies itfelf to you, who had the honour (for I am fure you think it fo) of the Author's friendship and familiarity in his life-time; who had his own confent to publifli nil elegant edition of fome of his pieces, of a nature not very different from this; and who have fo juft an efteem for, as well as knowledge of, his other moft fublime, moil admirable, andjuftly celebrated Works...

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