Unpublished paper, 'Arithmetical investigations upon the extraction of roots' by Lewis Francis Bastard Bastard, of Geneva [Switzerland], writes on the extraction of square roots from quadratic equations, including proofs to support his discussion. Subject: Mathematics Whilst this paper was not abstracted in the Proceedings of the Royal Society, a mention of its reading at a meeting of the Society was published in The Philosophical Magazine: 'LI. Proceedings of Learned Societies'. The Philosophical Magazine: A Journal of Theoretical Experimental and Applied Physics, vol 53, issue 252, 1819, p. 289. Read to the Royal Society on 11 February 1819. Communicated by the President [Sir Joseph Banks]. [1819]