powerful symbols invented by Mr. Jarrett, of Catharine Hall; to whom the Author is indebted for several of the theorems expressed by those symbols, that have been introduced in the notes. The great difficulty of printing mathematical works correctly, may be fairly estimated by the number of errors that occur in the works of the ablest writers on the subject. As it is probable that some few may still have escaped the Author's notice, he will feel much indebted to any of his readers, who will have the kindness to communicate to the publishers any errors they may happen to detect. The Author begs leave to take this opportunity of expressing his acknowledgements to the Syndics of the University Press, for the very liberal manner in which they have contributed to defray the expenses of the work, ST. JOHN'S COLLEGE, May, 1829. Indeterminate equations of the first degree. Indeterminate equations of the second degree . Indeterminate equations of the fourth degree Solution of homogeneous indeterminate equations. Solution of oblique-angled spherical triangles. Series for the sine, cosine, &c. in terms of the arc 128 Series expressing the inverse circular functions Series for determining the value of Formulæ involving impossible quantities Formulæ for the sums of arcs, and multiple arcs Resolution of trigonometrical quantities into factors. 140 Approximate solution of triangles Solution of triangles by series Formulæ peculiar to geodetic operations Formulæ for the construction of tables Formulæ for the verification of tables Trigonometrical solution of equations. |