Elements of Algebra |
From inside the book
Results 1-5 of 6
Page 98
... cent . as the horse cost him ; what was its original price ? Ans . 40l . 14. The difference of two numbers is 6 , and the sum of their squares multiplied by their product is 4640 ; find them . Ans . 10 and 4 . 15. A and B start at the ...
... cent . as the horse cost him ; what was its original price ? Ans . 40l . 14. The difference of two numbers is 6 , and the sum of their squares multiplied by their product is 4640 ; find them . Ans . 10 and 4 . 15. A and B start at the ...
Page 99
... cent . as B lays out ; B's gain is 367. , and it appears that A gains four times as much per cent . as B ; required the capital of each . A's capital , 5l . , and B's , 120 . 24. A detachment from an army was marching in regular F 2 ...
... cent . as B lays out ; B's gain is 367. , and it appears that A gains four times as much per cent . as B ; required the capital of each . A's capital , 5l . , and B's , 120 . 24. A detachment from an army was marching in regular F 2 ...
Page 161
... cent . , the interest being payable yearly ? = − n log R + log M , or λ Pnn R + λ M By Art . XL . Now x 1.045 log P = 12 » ( 1 · 045 ) + 2 5000 = 1-9808837 x n = 12 λ 5000 ΑΡ 1.7706044 - 3.6989700 3.4695744 .. P 2948.31836 = £ 2948 6s ...
... cent . , the interest being payable yearly ? = − n log R + log M , or λ Pnn R + λ M By Art . XL . Now x 1.045 log P = 12 » ( 1 · 045 ) + 2 5000 = 1-9808837 x n = 12 λ 5000 ΑΡ 1.7706044 - 3.6989700 3.4695744 .. P 2948.31836 = £ 2948 6s ...
Page 162
... cent . , interest payable yearly ? By Art . XLI . - log M = log ( R " - 1 ) + log A - log ( R − 1 ) , or AMλ ( R " - 1 ) + λA + x ( R − 1 ) , · - = λ ( 1 · 04520 — 1 ) + x 100 + x ' 045 Now a 1.045 = .0191163 the number to which is ...
... cent . , interest payable yearly ? By Art . XLI . - log M = log ( R " - 1 ) + log A - log ( R − 1 ) , or AMλ ( R " - 1 ) + λA + x ( R − 1 ) , · - = λ ( 1 · 04520 — 1 ) + x 100 + x ' 045 Now a 1.045 = .0191163 the number to which is ...
Page 184
... cent . He afterwards sold the remain- der at such a price as to clear 60l . per cent . by the whole transaction ; but if he had sold the whole quantity at the latter price , he would have gained 175l . per cent . How many gallons were ...
... cent . He afterwards sold the remain- der at such a price as to clear 60l . per cent . by the whole transaction ; but if he had sold the whole quantity at the latter price , he would have gained 175l . per cent . How many gallons were ...
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.