Besides the foregoing particulars, a number more might be adduced that are conceived to be worthy of attention; such as the arrangement of the rules and examples in Practice, Simple Interest, Tare and Tret, &c. but these, with the whole work, are referred to teachers and others interested in the subject. RECOMMENDATIONS. Philadelphia, Sept. 16, 1811. THE Treatise on Arithmetic, by Mr. S. PIKE of this city, which you requested me to look over, I have paid some attention to, and view it as a work of merit. It certainly deserves an introduction into our academies as an excellent school-book, which cannot fail of being acceptable to all those teachers, who are aware of the importance connected with the facility of cultivating and improving the understandings of their pupils. I am, respectfully your's, WILLIAM ROGERS, D. d. Professor of English and Belles Letters in the University of Pennsylvania. Messrs. Johnson & Warner. Philadelphia, Sept. 23, 1811. AGREEABLY to your request, I have examined Mr. PIKE'S Treatise of Arithmetic, and am much pleased with it. His mode of exemplifying the rules, is, I think, extremely well accommodated to the comprehension of juvenile pupils; while the general arrangement, extent, and scientific execution of the work, renders it worthy of adoption in both public and private seminaries. JAMES ABERCROMBIE, D. D. Messrs. Johnson & Warner. Philadelphia, Ninth mo. 26, 1811. I HAVE examined the system of Arithmetic compiled by S. PIKE, and am of opinion that it is well calculated for conveying to youth, in a short time, a general knowledge of that science. The commendable attention which the compiler has paid to a clear elucidation of his subject, as well as his careful exclusion of any thing which would unnecessarily perplex, entitles him to the thanks of those who are engaged in the laborious task of imparting knowledge to youth. BENJAMIN TUCKER. Philadelphia, Sept. 16, 1811. AFTER a careful inspection of Mr. S. PIKE'S System of Arithmetic, I give it a decided preference to every other I have yet seem, and shall be glad of the publication of a work, that, in my opinion, will deduct from the labour of teaching, and conduce to the advantage of learners. GENTLEMEN, JOHNSON TAYLOR. Philadelphia, Sept. 30, 1811. I HAVE no hesitation in declaring my belief, in concurrence with the gentlemen who have already recommended S. PIKE'S System of Arithmetic, that its publication will conduce to the public and private utility of the arithmetical student. Your's, &c. Messrs. Johnson & Warner. SAMUEL B. WYLIE. THE System of Arithmetic compiled by S. PIKE, is, in my opinion, a very judicious performance. The arrangement of the parts, the perspicuity of the rules, and the appropriate and familiar nature of the examples, are peculiarly calculated to facilitate the progress of the learner. I therefore give the work a decided preference to any other on the subject, with which I am acquainted. JOHN GUMMERE, Principal and Teacher of Burlington Boarding School. ÷ into, with, or multiplied by; as, 6×2=12. ✔or Cube Root; as, 3/64-4. Fourth Root; as, /64=2, &c. A Vinculum; denoting the several quantities |