Elements of Algebra |
From inside the book
Results 1-5 of 23
Page
... persons entering upon the study of Algebra . The arrangement of the following pages is such that , as soon as the student shall have made himself so far acquainted with the first principles as to be able to perform the ordinary ...
... persons entering upon the study of Algebra . The arrangement of the following pages is such that , as soon as the student shall have made himself so far acquainted with the first principles as to be able to perform the ordinary ...
Page 3
... person's money is 2 pounds : He has a positive stock of 2 pounds , which may be repre- sented by + 2 . Let him spend 1 pound . He has then a positive stock of 1 pound , which may be represented by +1 . Let him again spend 1 pound . He ...
... person's money is 2 pounds : He has a positive stock of 2 pounds , which may be repre- sented by + 2 . Let him spend 1 pound . He has then a positive stock of 1 pound , which may be represented by +1 . Let him again spend 1 pound . He ...
Page 14
... - - 3 ( 48 — x ) ' -2x = 144 — 3x , - By transposition , 3x - 2x = 144 - 100 ; that is , 100 that is , and x = 441. = B's gift , 2x = 881. = A's gift . 3. Divide 600l . among three persons , A , 14 SIMPLE EQUATIONS .
... - - 3 ( 48 — x ) ' -2x = 144 — 3x , - By transposition , 3x - 2x = 144 - 100 ; that is , 100 that is , and x = 441. = B's gift , 2x = 881. = A's gift . 3. Divide 600l . among three persons , A , 14 SIMPLE EQUATIONS .
Page 15
... persons , A and B , invest equal sums of money in railway shares ; A gains 300l . and B loses 450l . , after which A's money is 6 times as much as B's : what money did each invest ? Ans . 6001 . 7. A line , a feet long , is to be ...
... persons , A and B , invest equal sums of money in railway shares ; A gains 300l . and B loses 450l . , after which A's money is 6 times as much as B's : what money did each invest ? Ans . 6001 . 7. A line , a feet long , is to be ...
Page 32
... person in a foreign town wishes to exchange a sove- reign for 25 pieces of the two kinds of coin used there ; and he finds that 30 of the one , or 15 of the other , are equal to a sovereign . How many must he have of each ? Let x be the ...
... person in a foreign town wishes to exchange a sove- reign for 25 pieces of the two kinds of coin used there ; and he finds that 30 of the one , or 15 of the other , are equal to a sovereign . How many must he have of each ? Let x be 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.
Page 169 - Comprising Observations on the Materials from, and Processes by which, they are manufactured ; their Special Uses, Applications, Qualities, and Efficiency.
Page 165 - WATER WORKS, for the Supply of Cities and Towns. With a Description of the Principal Geological Formations of England as in'fluencing Supplies of Water ; and Details of Engines and Pumping Machinery for raising Water.
Page 173 - HADDON'S RUDIMENTARY ARITHMETIC. By A. ARMAN. is. 6d. 168. DRAWING AND MEASURING INSTRUMENTS. Including — I. Instruments employed in Geometrical and Mechanical Drawing, and in the Construction, Copying, and Measurement of Maps and Plans. II. Instruments used for the purposes of Accurate Measurement, and for Arithmetical Computations. By JF HEATHER, MA, late of the Royal Military Academy, "Woolwich, Author of '* Descriptive Geometry,
Page 174 - WILLIAM DOUGLAS HAMILTON, FSA, of Her Majesty's Public Record Office. Fourth Edition, revised. Maps and Woodcuts. 5s.; cloth boards, 6s. 5. Greece, Outlines of the History of; in connection with the Rise of the Arts and Civilization in Europe. By W. DOUGLAS HAMILTON, of University College, London, and EDWARD LEVIEN, MA, of Balliol College, Oxford.
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.