A Treatise on Algebra: By Charles SmithMacmillan and Company, 1888 - 571 sider |
Inni boken
Resultat 1-5 av 21
Side viii
... Continued products . 40 Examples II . 42 CHAPTER V. DIVISION . Division by a multinomial expression Extended definition of division 46 Examples III . . 25 50 51 CHAPTER VI . FACTORS ... FRACTIONS . A fraction is not altered viii CONTENTS .
... Continued products . 40 Examples II . 42 CHAPTER V. DIVISION . Division by a multinomial expression Extended definition of division 46 Examples III . . 25 50 51 CHAPTER VI . FACTORS ... FRACTIONS . A fraction is not altered viii CONTENTS .
Side xv
... CONTINUED FRACTIONS . b d Convergents of a + - are alternately less and greater than c + e + the continued fraction 442 Law of formation of successive convergents 442 Reduction of any rational fraction to a continued fraction 444 ...
... CONTINUED FRACTIONS . b d Convergents of a + - are alternately less and greater than c + e + the continued fraction 442 Law of formation of successive convergents 442 Reduction of any rational fraction to a continued fraction 444 ...
Side 93
By Charles Smith Charles Smith. Thus the product of any two fractions is another fraction · whose numerator is the product of their numerators , and whose denominator is the product of their denominators . The continued product of any ...
By Charles Smith Charles Smith. Thus the product of any two fractions is another fraction · whose numerator is the product of their numerators , and whose denominator is the product of their denominators . The continued product of any ...
Side 441
... e + ... The rth convergent of any continued fraction will be denoted by Pr qr • b d The fractions a , & c . will be called the first , с second , third , & c . elements of the continued fraction . 350. In a continued fraction of the form a ...
... e + ... The rth convergent of any continued fraction will be denoted by Pr qr • b d The fractions a , & c . will be called the first , с second , third , & c . elements of the continued fraction . 350. In a continued fraction of the form a ...
Side 442
... continued fraction a + a1 az ag az b1 + b + b + 1 2 The first three convergents will be found to be ab , + a , + a1 and a 1 ' b1 ab1b2 + aa2 + ab2 2 b1b2 + a2 2 Now the third convergent can be written in the form 442 CONTINUED FRACTIONS .
... continued fraction a + a1 az ag az b1 + b + b + 1 2 The first three convergents will be found to be ab , + a , + a1 and a 1 ' b1 ab1b2 + aa2 + ab2 2 b1b2 + a2 2 Now the third convergent can be written in the form 442 CONTINUED FRACTIONS .
Innhold
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 | |
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 76 - OF NEW TESTAMENT HISTORY, for National and Elementary Schools. With Map. i8mo, cloth.
Side 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.
Side 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.
Side 57 - ANALYSIS OF ENGLISH HISTORY, based on Green's "Short History of the English People.
Side 49 - HUXLEY, FRS With numerous Illustrations, and Coloured Plates. New and Cheaper Edition. Crown 8vo. 6s.
Side 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.
Side 63 - The Golden Treasury of the Best Songs and Lyrical Poems in the English Language. Selected and arranged, with Notes, by FRANCIS TURNER PALGRAVE.
Side 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.
Side 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.
Side 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.