Algebra for the Use of Colleges and Schools: With Numerous ExamplesMacmillan, 1866 - 553 σελίδες |
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Σελίδα x
... Scales of Notation XXX . Arithmetical Progression XXXI . Geometrical Progression XXXII . Harmonical Progression Mathematical Induction XXXIII . XXXIV . Permutations and Combinations XXXV . Binomial Theorem . Positive Integral Exponent ...
... Scales of Notation XXX . Arithmetical Progression XXXI . Geometrical Progression XXXII . Harmonical Progression Mathematical Induction XXXIII . XXXIV . Permutations and Combinations XXXV . Binomial Theorem . Positive Integral Exponent ...
Σελίδα 241
... scale of notation , and 10 is said to be the base or radix of the common scale . 428. We shall now prove that any positive integer greater than unity may be used instead of 10 for the radix , and shall shew how to express a number in ...
... scale of notation , and 10 is said to be the base or radix of the common scale . 428. We shall now prove that any positive integer greater than unity may be used instead of 10 for the radix , and shall shew how to express a number in ...
Σελίδα 242
... scale . If no By a given integer number we mean a number expressed in words or else expressed by digits in some assigned scale . scale is mentioned , we understand the common scale to be in- tended . ...... Let N be the given number , r ...
... scale . If no By a given integer number we mean a number expressed in words or else expressed by digits in some assigned scale . scale is mentioned , we understand the common scale to be in- tended . ...... Let N be the given number , r ...
Σελίδα 243
... scale of which 6 is the radix . The division may be performed and the remainders noted thus : Thus 6 ) 43751 6 ) 7 29 1 ...... 5 6 ) 1 2 1 5 ...... 1 6 ) 2 0 2 ...... 3 6 3 3 ...... 4 5 ... scale we shall 16-2 SCALES OF NOTATION . 243.
... scale of which 6 is the radix . The division may be performed and the remainders noted thus : Thus 6 ) 43751 6 ) 7 29 1 ...... 5 6 ) 1 2 1 5 ...... 1 6 ) 2 0 2 ...... 3 6 3 3 ...... 4 5 ... scale we shall 16-2 SCALES OF NOTATION . 243.
Σελίδα 244
... scale thus , 2139e . We cannot of course use 11 to express eleven in the new scale , because 11 now represents 1.12 + 1 , that is , thirteen . 433. We will now consider an example in which a number is given , not in the common scale . A ...
... scale thus , 2139e . We cannot of course use 11 to express eleven in the new scale , because 11 now represents 1.12 + 1 , that is , thirteen . 433. We will now consider an example in which a number is given , not in the common scale . A ...
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Άλλες εκδόσεις - Προβολή όλων
Algebra for the Use of Colleges and Schools: With Numerous Examples Isaac Todhunter Πλήρης προβολή - 1866 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a+b+c arithmetical arithmetical mean ax² Binomial Theorem black balls chance coefficient common measure contains continued fraction convergent cube root digits divided divisible divisor equal event example expansion Extract the square factors find the number given equations greater than unity harmonical mean Hence least common multiple less than unity letters logarithm meaning Multiply negative quantity number of combinations number of terms numerator and denominator obtain occur P₁ positive integers positive quantity preceding article prime number probability problem prove quadratic equation quotient radix ratio remainder respectively result scale shew shewn shillings Similarly solution square root student subtraction suppose supposition surd third unknown quantities white balls whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 551 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.
Σελίδα 57 - If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered.
Σελίδα 552 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 552 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches. New Edition.
Σελίδα 132 - Divide this quantity, omitting the last figure, by twice the part of the root already found, and annex the result to the root and also to the divisor, then multiply the divisor as it now stands by the part of the root last obtained for the subtrahend.
Σελίδα 551 - DREW.— A Geometrical Treatise on Conic Sections, with Copious Examples from the Cambridge Senate House Papers. By WH DREW, MA of St. John's College, Cambridge, Second Master of Blackheath Proprietary School. Crown 8vo. cloth, 4«.
Σελίδα 281 - The general formula for the number of combinations of n things taken r at a time is C(n,r) = r\(nr)\ We have to find the number of combinations of 12 things taken 9 at a time.
Σελίδα 17 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Σελίδα 83 - A ship sails with a supply of biscuit for 60 days, at a daily allowance of a pound a head ; after being at sea 20 days she encounters a storm in which 5 men are washed overboard, and damage sustained that will cause a delay of 24 days, and it is found that each man's allowance must be reduced to five-sevenths of a pound.
Σελίδα 393 - The same method may be applied to find the sum of the cubes of the first n natural numbers, or the sum of their fourth powers, and so on.