Algebra for the Use of Colleges and Schools: With Numerous ExamplesMacmillan, 1866 - 553 σελίδες |
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Αποτελέσματα 1 - 5 από τα 25.
Σελίδα 38
... trial that the same result is obtained whatever be the order in which the terms are taken . That is , - - for example , 2 − 13 + 5 + 8 −4 , 8-13-2-4 +5 , and so on , all give - 6 . 86. Next suppose we have to add two or more ...
... trial that the same result is obtained whatever be the order in which the terms are taken . That is , - - for example , 2 − 13 + 5 + 8 −4 , 8-13-2-4 +5 , and so on , all give - 6 . 86. Next suppose we have to add two or more ...
Σελίδα 52
... trial , but when the student is acquainted with the subject of the resolution of algebraical expressions into factors it will be obvious on inspection . The resolution of algebraical expressions into factors is discussed in the Theory ...
... trial , but when the student is acquainted with the subject of the resolution of algebraical expressions into factors it will be obvious on inspection . The resolution of algebraical expressions into factors is discussed in the Theory ...
Σελίδα 164
... trial , and then y is known from the equation y = x2 — c . Thus it appears that the method is inapplicable unless a2 – b be a perfect cube ; and then it is imperfect since it leads to an equation which we have not at present any method ...
... trial , and then y is known from the equation y = x2 — c . Thus it appears that the method is inapplicable unless a2 – b be a perfect cube ; and then it is imperfect since it leads to an equation which we have not at present any method ...
Σελίδα 176
... trial that neither of these values satisfies the proposed equation ; each of them however satisfies the equation x + 2 ( x2 + x + 5 ) -14 = 0 . From this and the preceding example we see that when an equation has been reduced to a ...
... trial that neither of these values satisfies the proposed equation ; each of them however satisfies the equation x + 2 ( x2 + x + 5 ) -14 = 0 . From this and the preceding example we see that when an equation has been reduced to a ...
Σελίδα 177
... It will be found on trial that the first olutions of the proposed equation ; the others apply 1 se x2 — 7 x — √√ ( x2 - 7x + 18 ) = 24 . - - x2 + x3- 4x2 + x + 1 = 0 . -2 ; thus 1 1 refore ( x refore refore st suppose refore refore t.
... It will be found on trial that the first olutions of the proposed equation ; the others apply 1 se x2 — 7 x — √√ ( x2 - 7x + 18 ) = 24 . - - x2 + x3- 4x2 + x + 1 = 0 . -2 ; thus 1 1 refore ( x refore refore st suppose refore refore t.
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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.