Series of Mathematics, The most COMPLETE, most PRACTICAL, and most SCIENTIFIC SERIES of MATHEMATICAL TEXT-BOOKS ever issued in this country. (IN TWENTY-TWO VOLUMES.) Robinson's Progressive Table Book, Sections and Analytical Geometry, Entered, according to Act of Congress, in the year 1861, and again in the year 1863, by DANIEL W. FISH, A.M., District of New York. Northern PREFACE. In the preparation of this work, a special object has been kept in view by the author, namely; to furnish a small and simple class book for beginners, which shall contain no more of theory than is necessary for the illustration and application of the elementary principles of written arithmetic, applied to numerous, easy, and practical examples, and which shall be introductory to a full and complete treatise on this subject. This book is not to be regarded as a necessary part of the Arithmetical Series by the same author, as the four books already composing that Series are believed tu be properly and scientifically graded, and eminently adapted to general use; but this work has been prepared to meet a limited demand, in large graded schools, and in the public schools of New York, and similar cities, where a large number of pupils often obtain but a limited knowledge of arithmetic, and wish to commence its study quite young ; and it is also designed for those who desire a larger num ber of simple and easy exercises for the slate and blackboard than are usually found in a complete work on written arithmetic, so that the beginner may acquire facility, promptness, and accuracy in the application and operations .of the fundamental principles of this science. (iii) The principles, definitions, rules, and applications so far as developed in this work coincide with the other books of the same series. Many of the Contractions, and special applications of the rules, particularly those that are at all difficult, have been omitted, and also the treatment of Denominate Fractions, and Decimals, all of which are fully and practically treated in the Progressive Practical, and the Higher Arithmetic. A few easy and practical applications of Cancellation, Analysis, Per centage and Simple Interest have been given, and a very large number of easv examples, CONTENTS. SIMPLE NUUBERS. COMMON FRACTIONS. |