Algebra for Beginners: With Numerous ExamplesMacmillan, 1863 - 264 σελίδες |
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Σελίδα
... Progression XXXIX . Geometrical Progression XL . Harmonical Progression ANSWERS ... 213 220 226 230 234 238 242 247 249 ALGEBRA FOR BEGINNERS . I. The Principal Signs . 1. viii CONTENTS .
... Progression XXXIX . Geometrical Progression XL . Harmonical Progression ANSWERS ... 213 220 226 230 234 238 242 247 249 ALGEBRA FOR BEGINNERS . I. The Principal Signs . 1. viii CONTENTS .
Σελίδα 238
... Progression . 385. Quantities are said to be in Arithmetical Pro- gression when they increase or decrease by a common dif- ference . Thus the following series are in Arithmetical Pro- gression , 2 , 5 , 8 , 11 , 14 , ...... 20 , 18 , 16 ...
... Progression . 385. Quantities are said to be in Arithmetical Pro- gression when they increase or decrease by a common dif- ference . Thus the following series are in Arithmetical Pro- gression , 2 , 5 , 8 , 11 , 14 , ...... 20 , 18 , 16 ...
Σελίδα 239
... Progression , the first term and the com- mon difference being supposed known . Let a denote the first term , b the common difference , n the number of terms , the last term , s the sum of the terms . Then also s = a + ( a + b ) + ( a + ...
... Progression , the first term and the com- mon difference being supposed known . Let a denote the first term , b the common difference , n the number of terms , the last term , s the sum of the terms . Then also s = a + ( a + b ) + ( a + ...
Σελίδα 240
... Progression consisting of seven terms , beginning with 11 and ending with 23. Thus a = 11 , 7 = 23 , n = 7 ; therefore by equation ( 2 ) of Art . 387 , 23 = 11 + 6b , therefore b = 2 . Thus the whole scries is 11 , 13 , 15 , 17 , 19 ...
... Progression consisting of seven terms , beginning with 11 and ending with 23. Thus a = 11 , 7 = 23 , n = 7 ; therefore by equation ( 2 ) of Art . 387 , 23 = 11 + 6b , therefore b = 2 . Thus the whole scries is 11 , 13 , 15 , 17 , 19 ...
Σελίδα 241
... progression is 13 , the second term is 11 , the sum is 40 : find the number of terms . 12. The first term of an arithmetical progression is 5 , and the fifth term is 11 : find the sum of 8 terms . 13. The sum of four terms in ...
... progression is 13 , the second term is 11 , the sum is 40 : find the number of terms . 12. The first term of an arithmetical progression is 5 , and the fifth term is 11 : find the sum of 8 terms . 13. The sum of four terms in ...
Άλλες εκδόσεις - Προβολή όλων
Algebra for Beginners; With Numerous Examples Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Algebra for Beginners: With Numerous Examples Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Algebra for Beginners: With Numerous Examples - Primary Source Edition Isaac Todhunter Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2014 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b-c a+b+c a²-b² a²+2ab+b² a²+b² Algebra arithmetical means Arithmetical Progression beginner brackets called Cambridge Chapter cloth College compound expression Crown 8vo cube root decimal denominator denote the number digits Divide the number dividend division divisor Edition equal example extract the square factors find the numbers Find the value following expressions gallons Geometrical Geometrical Progression give given greatest common measure half Harmonical means Hence integer least common multiple less Let x denote letter meaning miles multiply number of persons number of terms number represented obtain positive whole number problem quadratic equation quotient ratio remainder result Rule of Signs shew shillings simple expressions Solve square root student subtract Suppose surd third tion transpose travels Treatise unknown quantity
Δημοφιλή αποσπάσματα
Σελίδα 263 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Σελίδα 267 - Ferrers. — AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.
Σελίδα 260 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 265 - The earlier sections of each chapter contain that kind of matter which has usually been thought suitable for the beginner, while the latter ones are devoted either to an account of recent discovery, or to the discussion of such deeper questions of principle as are likely to present themselves to the reflective student in connection with the methods and processes of his previous course.
Σελίδα 28 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Σελίδα 261 - Mr. Smith's Work is a most useful publication. The Rules are stated with great clearness. The P^xamples are well selected and worked out with just sufficient detail without being encumbered by too minute explanations ; and there prevails throughout it that just proportion of theory and practice, which is the crowning excellence of an elementary work.
Σελίδα 265 - Boole has endeavoured in this treatise to convey as complete an account of the present state of knowledge on the subject of Differential Equations, as was consistent with the idea of a work intended, primarily, for elementary instruction. The earlier sections of each chapter contain that kind of matter which has usually been thought suitable...