Présentation de l'éditeur
The materials for the following work, like those of the authors treatise on A lgebra, have been drawn from the latest and best foreign sources, and from the results of a varied experience of near twenty years as an instructor, commencing at the United States Military A cademy. The definitions of angles and parallel lines, upon which so much depends, will be found quite different from those in ordinary use ;yet it is believed that no others hitherto suggested are so direct and distinct, so free from metaphysical objections, or so easily apprehended by the learner; and none, certainly, are productive of so much simplicity, generality, and brevity in the depending demonstrations. The treatment of proportions as equalities of ratios, it is thought, will give greater clearness to the proof of those propositions in which they are used. Great care has been taken to remedy all the little imperfections of demonstration in older treatises, and to supply some propositions which have been heretofore unaccountably omitted.
(Typographical errors above are due to OCR software and don't occur in the book.)
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