A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 páginas |
Dentro del libro
Resultados 1-5 de 15
Página xii
... scale of notation Radix fractions The difference between any number ( expressed in the scale r ) and the sum of its digits is divisible by r - 1 . Rule for casting out the nines . Examples XXII . CHAPTER XIX . PERMUTATIONS AND ...
... scale of notation Radix fractions The difference between any number ( expressed in the scale r ) and the sum of its digits is divisible by r - 1 . Rule for casting out the nines . Examples XXII . CHAPTER XIX . PERMUTATIONS AND ...
Página 265
... scale of notation , and 10 is said to be the radix or base . 232. Instead of ten any other number might be used as the base of a system of numeration , or as it is generally called the radix of a scale of notation ; and to express a ...
... scale of notation , and 10 is said to be the radix or base . 232. Instead of ten any other number might be used as the base of a system of numeration , or as it is generally called the radix of a scale of notation ; and to express a ...
Página 266
... scale of notation , and this can be done in only one way . For divide N by r , and let Q , be the quotient and d the remainder . Then N = d2 + r × Q1 Now divide Q , by r , and let Q , be the quotient and d the remainder . Then Q , d , + ...
... scale of notation , and this can be done in only one way . For divide N by r , and let Q , be the quotient and d the remainder . Then N = d2 + r × Q1 Now divide Q , by r , and let Q , be the quotient and d the remainder . Then Q , d , + ...
Página 267
... scale of 10 . Proceeding as before , we have 10 | 4155 10 327 remainder 7 10 0125 . 2 5 .1 Thus 2157 is the number ... scale of 12 . eleven by e . ] 17 21 Ex . 5. Express in the scale of 4 . Ex . 6. In what scale is 4950 written 20301 ...
... scale of 10 . Proceeding as before , we have 10 | 4155 10 327 remainder 7 10 0125 . 2 5 .1 Thus 2157 is the number ... scale of 12 . eleven by e . ] 17 21 Ex . 5. Express in the scale of 4 . Ex . 6. In what scale is 4950 written 20301 ...
Página 268
... scale of 6 . × 6 = 0 + 6 = 1 + 27 ' 27 Hence 012 is the required result . 9 9 × 6 = 2 . 27 ' 27 by a series of radix fractions in the scale of 3 . Ex . 2. Express 7 3 1 x3 = 0 + 7 ; * 3 = 2 + 1 X 2 3 = 1 + 7 ; x3 = 0 + ; 7 க் 5 x3 = 1 ...
... scale of 6 . × 6 = 0 + 6 = 1 + 27 ' 27 Hence 012 is the required result . 9 9 × 6 = 2 . 27 ' 27 by a series of radix fractions in the scale of 3 . Ex . 2. Express 7 3 1 x3 = 0 + 7 ; * 3 = 2 + 1 X 2 3 = 1 + 7 ; x3 = 0 + ; 7 க் 5 x3 = 1 ...
Contenido
53 | |
64 | |
70 | |
87 | |
104 | |
112 | |
118 | |
124 | |
133 | |
139 | |
143 | |
149 | |
156 | |
169 | |
176 | |
184 | |
199 | |
201 | |
209 | |
213 | |
216 | |
222 | |
228 | |
235 | |
242 | |
254 | |
261 | |
267 | |
274 | |
275 | |
326 | |
334 | |
342 | |
348 | |
356 | |
362 | |
372 | |
379 | |
385 | |
422 | |
429 | |
444 | |
452 | |
460 | |
474 | |
481 | |
487 | |
491 | |
495 | |
498 | |
502 | |
508 | |
510 | |
517 | |
518 | |
524 | |
531 | |
535 | |
537 | |
Otras ediciones - Ver todas
Términos y frases comunes
a+b+c a₁ arithmetic mean arithmetical progression ax² b₁ binomial Binomial Theorem C₁ Cambridge coefficient contain continued fraction Crown 8vo denominator determinant digits divergent divide divisible divisor Edition equal equation ax example expansion Extra fcap Fcap Find the number Find the sum follows geometrical progression given expression Globe 8vo greater Hence the required infinity letters logarithm MACMILLAN'S Multiply negative nth convergent nth root nth term number of terms obtained P₁ periodic continued fraction positive integer powers prime number Professor prove quadratic equation quadratic surd quotient ratio remainder School Shew Solve the equation square root subtract suppose Theorem Trinity College u₁ unknown quantities white ball whole number zero
Pasajes populares
Página 76 - OF NEW TESTAMENT HISTORY, for National and Elementary Schools. With Map. i8mo, cloth.
Página 63 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation. New Edition. Extra fcap. 8vo. 6s. ELEMENTARY LESSONS IN HISTORICAL ENGLISH GRAMMAR, containing Accidence and Wordformation. New Edition.
Página 61 - HALES— LONGER ENGLISH POEMS, with Notes, Philological and Explanatory, and an Introduction on the Teaching of English. Chiefly for Use in Schools. Edited by JW HALES, MA, Professor of English Literature at King's College, London.
Página 57 - ANALYSIS OF ENGLISH HISTORY, based on Green's "Short History of the English People.
Página 49 - HUXLEY, FRS With numerous Illustrations, and Coloured Plates. New and Cheaper Edition. Crown 8vo. 6s.
Página 36 - MATHEMATICAL PROBLEMS, on Subjects included in the First and Second Divisions of the Schedule of Subjects for the Cambridge Mathematical Tripos Examination. Devised and arranged by JOSEPH WOLSTENHOLME, late Fellow of Christ's College, sometime Fellow of St.
Página 63 - The Golden Treasury of the Best Songs and Lyrical Poems in the English Language. Selected and arranged, with Notes, by FRANCIS TURNER PALGRAVE.
Página 20 - ROBY— A GRAMMAR OF THE LATIN LANGUAGE, from Plautus to Suetonius. By HJ ROBY, MA, late Fellow of St. John's College, Cambridge. In Two Parts. Third Edition. Part I. containing : — Book I. Sounds. Book II. Inflexions. Book III. Word-formation. Appendices. Crown 8vo.
Página 58 - EUROPEAN HISTORY. Narrated in a Series of Historical Selections from the Best Authorities. Edited and arranged by EM SEWELL and CM YONGE. First Series, 1003 — 1154. Third Edition. Crown 8vo. 6s. Second Series, 1088—1228. Crown 8vo. 6s. Third Edition. " We know of scarcely anything which is so likely to raise to a higher level the average standard of English education.
Página 60 - Among the numerous sets of readers before the public the present series is honourably distinguished by the marked superiority of its materials and the careful ability with which they have been adapted to the growing capacity of the pupils. The plan of the two primers is excellent for facilitating the child's first attempts to read. In the first three following books there is abundance of entertaining reading. .... Better food for young minds could hardly be found.