Western District of Pennsylvania, to wit: BE IT REMEMBERED, That on the eleventh day of September, in the fifty-fourth year of the Independence of the United States of America, A. D. 1829, Cramer & Spear, of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors in the words following, to wit: Connolly's Arithmetic, or the Ohio Accomptant, being a plain practical treatise, with a complete system of Mensuration. By James L. Connolly." In conformity to the act of the congress of the United States, entitled, “An act for the encouragement of learning, by securing the copies of maps, charts and books, to the authors and proprietors of such copies, during the times therein mentioned;" and also to the act, entitled, “An act supplementary to an act, entitled, 'An act for the encouragement of learning, by securing the copies of maps, charts and books, to the authors and proprietors of such copies, during the times therein mentioned;' and extending the benefits there. of to the arts of designing, engraving, and etching historical and other prints." E. J. ROBERTS, Clerk of the Western District of Pennsylvania Midland 11-6-39 Addition of divers denominations 17 Subtraction of Fractions Questions to exercise Addition 19 Multiplication of Fractions 74 22 Rule of Three of Fractions 75 Subtraction divers denominations 23 Questions to exercise Subtraction 25 Practice Multiplication of divers denomi. Profit and loss Questions to exercise Multipli. Compound Fellowship cation 91 Questions to exercise Division 38 Simple Interest. 99 Division of divers denominations 39 To ealculate interest on Bonds, Questions to exercise Reduction 42 Commission Questions to exercise the foregoing 46 Insurance Mechanics' & Farmers' Arith- 115 Brokerage 48 Annuities or Pensions by Sim- 49 Annuities or Pensions at Com. A Wheel wright's account 51 Combination 51 Arithmetical Progression 125 51 Geometrical Progression 129 The Rule of Three Direct 54 Decimal Fractions Inverse 58 Addition of Decimal Fractions 140 Questions in Direct and Loverse Subtraction of the same 14L Multiplication of the same 141 Double Rule of Three Direct 61 Division of the same Inverse 62 Contracted Multiplication of ? 63 the same Contracted Division of the same 144 Of Walling Mensuration of Superficies 163 Masons' work 18S 163 Mensuration of boards & timber 184 164 of round timber, whose bases 165 Of round timber, whose bases 165 166 Of the Five Regular Bodies 186 the Segment of a Circle 173 Icosaedron 175 the Wheel and Axletree 206 175 A table of specific gravities 211 Of the frustum of a pyramid 176 of the specific gravities of bodies 211 pyramid A table of the Dominical Letters 219 179 To find the ullage of a Cask 222 180 Practical Questions } PREFACE. ISHALL not amuse the reader with any pompous eulogium on the merits of this work.; or endeavour, as is customary, to anticipate the public favour by a recital of excellencies, which, in the opinion of some, may be of a disputable nature. This much I may venture to say—the adding one to the number of treatises already extant, will not appear superfluous, when we consider the importance of the subject. I'ne design of this work is to furnish schools with a system of practical arithmetic, in which I have, according to my knowledge in this science, arranged the different branches in a judicious and perspicuous order. I shall not here detail the particulars in this book, but reter the reader to the table of contents. I have entirely omitted pounds, shillings, and pence, (except a few examples in exchange with England and Ireland,) as useless to the learner; and have introduced a complete system of Mensuration, (arithmetically,) according to Euclid, and other celebrated authors. This work is in two parts: the second part contains a useful appendix, and a key for Mensuration and the exercise questions. Perfect accuracy, in a work of this size and nature, can hardly be expected: the author and the press are liable to If any such are pointed out, it will be considered as a token of friendship and favour. How far this treatise will answer the end intended, will, in some measure, be obvious to any judicious scholar, by taking a short view of the plan pursued. JAMES L. CONNOLLY, Schoolmaster. errors. |