edition, but it also includes Conic Sections, and the entire doctrine of Curves, with their application to various branches of science and philosophy. The Algebra of Ward is, also, not only altogether obsolete, but did not extend beyond Quadratic Equations; while these Elements include the solution of all manner of Equations, together with Fluxions, and the Differential Calculus, according to the most approved theories and practices. As an introduction to Mathematics, for the use of Schools, and Students in general, the present volume possesses, therefore, original pretensions to the favour of the public. Other systems, of more recent date than Ward's, have appeared; but, on comparison, it will be found that no one is more comprehensive in its objects, or more compact in its details; while, in regard to the various improvements in Mathematics, which have been made by the great analists of France, England, and Germany, it will, as a general elementary book, be considered, by enlightened Mathemati. cians, not inferior to any similar work in the English or any modern language. By means of economy in printing, the Author has been enabled to attempt more, within the same number of pages, than has previously been effected by works of greater magnitude, but printed in a larger type. He has thus been empowered to present to the public a complete body of Mathematics, at a price which accords with the often-limited resources of students. Of course, in such a work, it has been less the object of the Editor to invent, than to compile with discretion, and arrange with judgment. At the same time, he trusts it will be discovered, that, in every part where originality was required, he has supplied many deficiences, and corrected the errors of some of his predecessors. A few of the chapters have been adapted to the purposes of this publication from separate tracts of his own, and others have been originally compiled from materials which at present lie scattered in various expensive works. To confer every possible perfection on this work, a series of correct Logarithmic and Trigonometrical Tables have been subjoined; and a collection of upwards of two hundred Miscellaneous Questions have been introduced as exercises on the various subjects discussed through the volume. For the use of Tutors, a separate KEY has been printed, which contains Answers, worked at length, not only to the Questions alluded to, but also to all the othe Questions and Froblems scattered throughout the volume. Claremont-Place, Brunswich-Square. P. N. The Multiplication and Division of Surd Quantities 89 - PROJECTION OF A SPHERE IN PLANO STEREOGRAPHIC PROJECTION OF A SPHERE MENSURATION : 347 551 561 577 591 On the Motions of Bodies accelerated or retarded by On the Laws of Gravity, and the descent of Heavy 647 - 651 - - 663 673 |