MATHEMATICS. 87 



of the lengths of the several degrees of the meridian ; an investigation 

 of the height of tides in the ocean ; a new theory of astronomical refrac- 

 tions ; a new method for approximating the roots of equations in num- 

 bers; several new methods for the summation of series; some new 

 improvement in the inverse theory of fluxions. 4 London, 174-3. 



SIMPSON (THOMAS). Select exercises for young proficients in the ma- 

 thematicks, containing problems, the theory of gunnery, a new method 

 of finding the roots of equations, a short account of the nature of 

 fluxions, and the valuation of annuities. 8 London-, 1 752. 



; revised and corrected by J. H. Hearding. 8 London, 



1810. 



. The doctrine of annuities and reversions deduced from evident 



[principles, with useful tables shewing the value of single and joint lives, 

 &c. ; [to which is added an appendix ;] 2 pts. in 1 vol. 8 London, 

 1742 & 1743. 

 . The doctrine of annuities and reversions, with tables shewing the 



values of single and joint lives at different rates of interest ; to which is 

 added a method of investigating the value of annuities by approximation. 

 8 London, 1775. 



. A supplement to the doctrine of annuities and reversions. 8 Lon- 

 don, 1791. 



. The doctrine and application of fluxions to which is prefixed an 



account of his life. 8 London, 1805. 



. The doctrine and application of fluxions, containing a number of 



improvements in the theory and the solution of a variety of problems ; a 

 new edition adapted to the present state of science by a graduate of 

 Cambridge; 2 vols. 8 London, 1823. 



' . The nature and laws of chance. 4 London, 1740. 



Trigonometry, plane and spherical, with the construction and appli- 

 cation of logarithms. 8 London, 1765. 



. 8 London, 1799. 



SIMSON (ROBERT). Life. See Traill (W.). Account of the life, &c. 4 

 1812. 



. See Euclides. Elementorum libri sex priores, item xi et xn. 4 



1756. 



. Apollonii Pergaei locorum planorum libri duo. 4 Glasgucc, 



1749. 



. A treatise concerning porisms ; translated from the Latin, by 



J. Lawson. 4 Canterbury, 1777.* 



. Opera quaedam reliqua scilicet Apollonii Pergaei de sectione deter- 

 minata lib. duo restituti ; 2, porismatum liber ; 3, de logarithmis liber ; 

 4, de limitibus quantitatum et rationum fragmentum ; 5, appendix con- 

 tinens problemata ad illustrandam praecipue veterum geometrarum ana- 

 lysin ; post mortem auctoris edita, cura J. Clow. 4 Glasgua, 1776. 



. Sectionum conicarum libri v. 4 Edinburgi, 1735. 



. The elements of Euclid; viz. the first six books ; the llth and 12th; 



also the book of Euclid's data. 8 Glasgow, 1762. 



SLUSIUS (RENATUS FRANC.). Mesolabum, seu duae mediae propor- 

 tionales inter extremas datas per circulum et per infinitas hyperbolas, 

 vel ellipses, et per quamlibet exhibitae, ac problematum omnium solido- 

 rum effectio per easdem curvas ; aeorssit pars altera de analysi et miscel- 

 lanea. 4 LeodiiEburonum, 1668. 



* Imperfect. 



