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Select exercises for young proficients in the mathematicks
Containing, I. A large variety of algebraical problems with their solutions. II. A choice number of geometrical problems with their solutions both algebraical and geometrical. III. The theory of gunnery, independent of the conic sections. IV. A new and very comprehensive method for finding the roots of equations in numbers. V. A short account of the nature and first principles of fluxions. VI. The valuation of annuities for single and joint lives, with a set of new tables, far more extensive than any extant. By Thomas Simpson, F.R.S -
Mathematical dissertaions on a variety of physical and analytical subjects
Containing, among other particulars, a demonstration of the true figure which the Earth, or any planet must acquire from its rotation about an axis. A general investigation of the attraction at the surfaces of bodies nearly spherical. A determination of the meridional parts, and the lengths of the several degrees of the meridian, accoding to the true figure of the Earth. An investigtion of the height of the tides in the ocean. A new theory of astronomical-refractions, with exact tables deduced therefrom. A new and very exact method for approximating the roots of equations in numbers; that quintuples the number of places at each operation. Several new methods for the summation of series. Some new and very useful improvements in the inverse method of fluxions. The whole in a general and perspicuous manner. By Thomas Simpson -
The doctrine of annuities and reversions
deduced from general and evident principles, with useful tables shewing the values of single and joint lives, &c., at different rates of interest -
Essays on several curious and useful subjects
in speculative and mix'd mathematicks. Illustrated by a variety of examples. By Thomas Simpson -
Select exercises for young proficients in the mathematicks
Containing I. A great variety of Algebraical Problems with their Solutions. II. A choice Number of Geometrical Problems with their Solutions both Algebraical and Geometrical. III. The Theory of Gunnery, independent of the Conic Sections. IV. A new and very comprehensive Method for finding the Roots of Equations in Numbers. V. A short Account of the Nature and first Principles of Fluxions. By Thomas Simpson, F.R.S. To which is Prefixed, An Account of the Life and Writings of the Author, By Charles Hutton, F. R. S -
Miscellaneous tracts on some curious, and very interesting subjects in mechanics, physical-astronomy, and speculative mathematics; wherein, the precession of the equinox, the nutation of the earth's axis, and the motion of the moon in her orbit, are determined. By Thomas Simpson, F. R. S. And Member of the Royal Academy of Sciences at Stockholm