1000 grams = 1 kilogram (Kg.) = 2.2046 pounds (lb.) 1 radian = 1 degree angle subtended by an arc equal to the radius = 57° 17' 44".857°.2957795 = 0.01745329 radian, or π/180 radians Weight of 1 cu. ft. of water 62.425 Jb. 332 Cancellation, of terms in an equation, | Fraction, 140; signs in, 141; re- 73. Clearing of fractions, 164. Consequent, 180. Coördinates of a point, 207. Cube root of a number, 17. duction of to lowest terms, 143; Denominator, 140; lowest common, Gear wheel law, 192. 146. Dividend, 119. Graph, 202; use of, 203; of an Inconsistent equations, 211. Division, of positive and negative Elimination, by substitution, 215; Mean proportional, 196. 81. Multiple, 136; common, 136; low- nomials, 79; of a polynomial by | Radicand, 247. Reciprocal of a number, 163. Secant, 197. 281. Square, of a number, 17; of the sum numbers, 35; of monomials, 55; Printed in the United States of America. By WILLIAM L. VOSBURGH Head of the Department of Mathematics, Boston Normal School, and FREDERICK W. GENTLEMAN Department of Mathematics, Mechanic Arts High School, Boston A course for the pupil who has mastered the elementary number facts - the four processes applied to integers and fractions and the various relations of the commoner denominate units. The method in these books is a preparation for the intelligent application of the student's mathematical powers to the field of practical computation, and it introduces constantly the arbitrary standards of accuracy and individual responsibility that the pupil will meet later in his adult activities. The course represents the Junior High School idea at its best — fullness of development, fullness of service. It is characterized by many attractive features which may be briefly put as follows: The pupil is required to check all results. responsible for his results. He is made personally He is taught to make a mental estimate of answers and location of the decimal point. He will not offer absurd results. He gets an idea of number values. There are no impractical problems. No answers deal with half a man or butter at 14 cents a pound. Mechanical drill to secure accuracy in arithmetical processes is introduced often and effectively. The equation is introduced early as a mathematical tool and is used consistently throughout. The properties of geometric figures are established by actual measurement and mechanical construction before the abstractions of the proofs of any propositions are introduced. Practical applications of geometric principles are emphasized. Paper 40 cents It is the purpose of this book to furnish drill in geometrical conceptions as well as in the application of geometrical principles to practical uses. A few simple methods of construction are given which, by careful analysis and detailed development, fully satisfy the questioning mind of the young student, and give him a foundation in thoroughness and care. The early exercises are simple and well graded. They are based upon angles, perpendiculars, parallel lines, equilateral and rectangular figures. Later exercises include problems in elevation and depression, problems in irregular figures, in the measurement of arcs and angles, division of lines, and a few of the simplest constructions connected with tangency and the circumscription of figures. The manual is made up in the size of the standard slipsheet note books and is of convenient form for the construction of large figures. Blank pages for the use of the student are included throughout the book. Every printed page faces a blank and at intervals extra blanks are included. Hints, suggestions, and definitions make the manual especially workable and helpful. NEW YORK THE MACMILLAN COMPANY 64-66 Fifth Avenue, New York City |