Algebra for the Use of Colleges and Schools: With Numerous ExamplesMacmillan, 1866 - 553 σελίδες |
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Σελίδα
... Theorem , for example , was drawn up bout fifteen years ago for the use of a fellow - student . The task of preparing an elementary treatise is far from easy , d I must therefore request the indulgence of teachers and udents for any ...
... Theorem , for example , was drawn up bout fifteen years ago for the use of a fellow - student . The task of preparing an elementary treatise is far from easy , d I must therefore request the indulgence of teachers and udents for any ...
Σελίδα
... Theorem . Positive Integral Exponent XXXVI . Binomial Theorem . Any Exponent PAGE 211 220 226 236 · 241 254 266 274 • 278 283 294 XXXVII . Multinomial Theorem XXXVIII . Logarithms XXXIX . Exponential and Logarithmic Series XL ...
... Theorem . Positive Integral Exponent XXXVI . Binomial Theorem . Any Exponent PAGE 211 220 226 236 · 241 254 266 274 • 278 283 294 XXXVII . Multinomial Theorem XXXVIII . Logarithms XXXIX . Exponential and Logarithmic Series XL ...
Σελίδα 19
... theorems respecting numbers , and also to express those theorems briefly . For example , the result ( a + b ) ( a − b ) = a3 — b2 - is proved to be true , and is stated thus by symbols more com- pactly than by words . There are other ...
... theorems respecting numbers , and also to express those theorems briefly . For example , the result ( a + b ) ( a − b ) = a3 — b2 - is proved to be true , and is stated thus by symbols more com- pactly than by words . There are other ...
Σελίδα 43
... theorems . The student is recommended to proceed onwards as far as the chapter on equations ; he will there see some further remarks on negative quantities , and he may afterwards read the present chapter again . It would be ...
... theorems . The student is recommended to proceed onwards as far as the chapter on equations ; he will there see some further remarks on negative quantities , and he may afterwards read the present chapter again . It would be ...
Σελίδα 130
... theorem , called a Binomial Theo- rem , which will enable us to obtain any power of a binomial ex- pression without the labour of actual multiplication . m 224. It is obvious that the nth power of a " is the same as the mth power of a ...
... theorem , called a Binomial Theo- rem , which will enable us to obtain any power of a binomial ex- pression without the labour of actual multiplication . m 224. It is obvious that the nth power of a " is the same as the mth power of 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 b₁ 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 given number greater than unity greatest Hence least common multiple less than unity letters logarithm meaning multiply negative quantity nth term number of combinations number of terms obtain occur P₁ P₂ positive integers positive quantity preceding Article prime number probability prove quadratic equation quadratic surd quotient radix ratio remainder respectively result scale shew shewn shillings Similarly solution square number square root subtraction suppose surd unknown quantities white balls whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 511 - 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 55 - If the numerator and denominator be divided by the same number, the value of the fraction is not altered.
Σελίδα 512 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 319 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Σελίδα 277 - To find the number of permutations of n things taken r at a time. Suppose...
Σελίδα 130 - Separate the given number into periods, by pointing every second figure, beginning with the units' place. find the greatest square in the left-hand period, and...
Σελίδα 12 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Σελίδα 15 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Σελίδα 331 - An infinite series is said to be divergent when the sum of the first n terms can be made numerically greater than any finite quantity by taking n sufficiently great.
Σελίδα 83 - В contains 9 gallons of wine and 3 gallons of water ; how many gallons must be drawn from each cask so as to produce by their mixture 7 gallons of wine and 7 gallons of water ? 33.