Algebra for the Use of Colleges and Schools: With Numerous ExamplesMacmillan, 1866 - 553 σελίδες |
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Αποτελέσματα 1 - 5 από τα 48.
Σελίδα 26
... as in Arithmetic , that the division can- not be exactly performed . Thus , for example , if we divide a2 - 2ab + 2b2 by a - b , we shall obtain as before a b in the - quotient , and there will then be a remainder b2 26 DIVISION .
... as in Arithmetic , that the division can- not be exactly performed . Thus , for example , if we divide a2 - 2ab + 2b2 by a - b , we shall obtain as before a b in the - quotient , and there will then be a remainder b2 26 DIVISION .
Σελίδα 27
With Numerous Examples Isaac Todhunter. quotient , and there will then be a remainder b2 . This result is expressed in a manner similar to that used in Arithmetic ; we say a2 - 2ab + 2b2 a - b b2 = a - b + a - b a - b and a fractional ...
With Numerous Examples Isaac Todhunter. quotient , and there will then be a remainder b2 . This result is expressed in a manner similar to that used in Arithmetic ; we say a2 - 2ab + 2b2 a - b b2 = a - b + a - b a - b and a fractional ...
Σελίδα 33
... remainder is 3. " 74. It might at first sight seem to the student unlikely that such an expression as 7-10 should occur in practice ; or that if it did occur it would only arise either from a mistake which could be instantly corrected ...
... remainder is 3. " 74. It might at first sight seem to the student unlikely that such an expression as 7-10 should occur in practice ; or that if it did occur it would only arise either from a mistake which could be instantly corrected ...
Σελίδα 36
... signs , subtract the less absolute value from the greater , and place before the remainder the sign of that quantity which has the greater ab- solute value . Thus , by the first rule , if we add 36 NEGATIVE QUANTITIES .
... signs , subtract the less absolute value from the greater , and place before the remainder the sign of that quantity which has the greater ab- solute value . Thus , by the first rule , if we add 36 NEGATIVE QUANTITIES .
Σελίδα 38
... remainder . The remainder then may be defined as that number which must be added to the subtrahend to produce the minuend , and the object of subtraction is to find this remainder . We shall use the same definition in algebraical ...
... remainder . The remainder then may be defined as that number which must be added to the subtrahend to produce the minuend , and the object of subtraction is to find this remainder . We shall use the same definition in algebraical ...
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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 find the sum Geometrical Progression given equations greater than unity harmonical mean Hence least common multiple less than unity letters logarithm mean multiply negative quantity nth term number of combinations number of terms obtain occur P₁ partial fractions positive integers positive quantity preceding Article prime number probability prove quadratic equation quotient radix ratio remainder respectively result scale shew shillings Similarly solution square root student subtraction suppose surd unknown quantities white balls whole number zero
Δημοφιλή αποσπάσματα
Σελίδα 515 - 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 be divided by the same number, the value of the fraction is not altered.
Σελίδα 516 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Σελίδα 323 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Σελίδα 281 - To find the number of permutations of n things taken r at a time. Suppose...
Σελίδα 134 - 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 14 - 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 17 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Σελίδα 335 - 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 85 - 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.