Elements of Algebra |
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... to furnish the stu- dent with a collection of problems suited to exercise his talents and ingenuity in a tolerably extensive range of sub- jects in elementary algebra . CONTENTS . CHAPTER I. DEFINITIONS . First Rules , and IV PREFACE .
... to furnish the stu- dent with a collection of problems suited to exercise his talents and ingenuity in a tolerably extensive range of sub- jects in elementary algebra . CONTENTS . CHAPTER I. DEFINITIONS . First Rules , and IV PREFACE .
Page
James Haddon. CONTENTS . CHAPTER I. DEFINITIONS . First Rules , and the Application of them to the Solu- tion of Equations and Problems CHAPTER II . Fractions , and their Application to the Solution of Problems Page 15 CHAPTER III ...
James Haddon. CONTENTS . CHAPTER I. DEFINITIONS . First Rules , and the Application of them to the Solu- tion of Equations and Problems CHAPTER II . Fractions , and their Application to the Solution of Problems Page 15 CHAPTER III ...
Page 5
... Rule . the signs of the quantities to be subtracted changed , and then proceed as in Addition . V. The sign- before any quantity indicates that the whole of that quantity is to be subtracted . Thus the expression - a − ( b + c ) means ...
... Rule . the signs of the quantities to be subtracted changed , and then proceed as in Addition . V. The sign- before any quantity indicates that the whole of that quantity is to be subtracted . Thus the expression - a − ( b + c ) means ...
Page 8
... Rules for Multiplication . If the signs are alike , write + ; if unlike , the coefficients . - Add the indices of the same letter . Examples . Multiply 1. Multiply 3a2 ― 5ab2b by a2 . --- 7ab . 3a2 a2 3a + - - 5ab + 262 7ab 5ab2ab2 - 21 ...
... Rules for Multiplication . If the signs are alike , write + ; if unlike , the coefficients . - Add the indices of the same letter . Examples . Multiply 1. Multiply 3a2 ― 5ab2b by a2 . --- 7ab . 3a2 a2 3a + - - 5ab + 262 7ab 5ab2ab2 - 21 ...
Page 10
... Rule for Division will be ; if the signs are alike , write + ; if unlike , — ; divide the coefficient of the dividend by the coefficient of the divisor ; and subtract each index of the divisor from the index of the same letter in the ...
... Rule for Division will be ; if the signs are alike , write + ; if unlike , — ; divide the coefficient of the dividend by the coefficient of the divisor ; and subtract each index of the divisor from the index of the same letter in the ...
Common terms and phrases
a²x² ALGEBRA annuity arithmetic mean arithmetic series arithmetical progression b² a² Binomial Theorem C.E. Illustrated C₁ cent cloth boards coefficients common ratio compound interest containing cube root denominator digits Divide divisor Edition ENGINEERING equal Examples expression Extract the square find the number Find the sum fraction gallons geometric mean geometrical progression given greatest common measure harmonic means harmonic series Hence J. F. HEATHER logarithms miles Multiply nth term number of combinations number of shot number of terms number of variations permutations present value Prop quadratic quotient RALPH TATE reciprocal equation remainder Rudimentary Treatise shillings side square pile square root Subtract surd things taken total number unknown quantities Woodcuts x²y
Popular passages
Page 171 - THE PIANOFORTE. In one vol. Half bound, 55.. 181. PAINTING POPULARLY EXPLAINED, including Fresco, Oil, Mosaic, Water Colour, Water-Glass, Tempera, Encaustic, Miniature, Painting on Ivory, Vellum, Pottery, Enamel, Glass. &c. With Historical Sketches of the Progress of the Art by THOMAS JOHN GULLICK, assisted by JOHN TIMES, FSA Fifth Edition, revised and enlarged.
Page 175 - Edition, is. 49. Derivative Spelling-Book: Giving the Origin of Every Word from the Greek, Latin, Saxon, German, Teutonic, Dutch, French, Spanish, and other Languages ; with their present Acceptation and Pronunciation. By J. ROWBOTHAM, FRAS Improved Edition. is. 6d. 51. The Art of Extempore Speaking : Hints for the Pulpit, the Senate, and the Bar. By M. BAUTAIN, Vicar-General and Professor at the Sorbonne.
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Page 171 - Perspective, extracted from the French of G. MONGE. To which is added, a description of the Principles and Practice of Isometrical Projection. By JF HEATHER, MA With 14 Plates.
Page 172 - A KEY to the above, containing Solutions in full to the Exercises, together with Comments, Explanations, and Improved Processes, for the Use of - Teachers and Unassisted Learners.
Page 176 - Italian Grammar, arranged in Twenty Lessons, with a Course of Exercises. By ALFRED ELWES. is. 6d. 28. Italian Triglot Dictionary, wherein the Genders of all the Italian and French Nouns are carefully noted down. By ALFRED ELWES. Vol.