Algebra for the Use of Colleges and Schools: With Numerous ExamplesMacmillan, 1866 - 553 σελίδες |
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Σελίδα 1
... represent the numbers , and signs which are employed to represent their relations , is called Algebra . 2. Letters of the alphabet are used to represent numbers , which may be either known numbers , or numbers which have to be found and ...
... represent the numbers , and signs which are employed to represent their relations , is called Algebra . 2. Letters of the alphabet are used to represent numbers , which may be either known numbers , or numbers which have to be found and ...
Σελίδα 2
... represented by a is to be divided by the number represented by b . If a represent 9 , and b represent 3 , then a ÷ b represents 3. The sign is called the sign of division , and a ÷ b is read thus " a by b . " There is also another way ...
... represented by a is to be divided by the number represented by b . If a represent 9 , and b represent 3 , then a ÷ b represents 3. The sign is called the sign of division , and a ÷ b is read thus " a by b . " There is also another way ...
Σελίδα 3
With Numerous Examples Isaac Todhunter. sented by a is equal to the number represented by b , that is , a and b represent the same number . The sign is called the sign of = equality , and a = b is read thus " a equals b " or " a is equal ...
With Numerous Examples Isaac Todhunter. sented by a is equal to the number represented by b , that is , a and b represent the same number . The sign is called the sign of = equality , and a = b is read thus " a equals b " or " a is equal ...
Σελίδα 4
... represented arithmetically , and of another factor which is a num- ber represented algebraically , that is , by a letter or letters ; in this case the former factor is said to be the coefficient of the latter . Thus in the product 7abc ...
... represented arithmetically , and of another factor which is a num- ber represented algebraically , that is , by a letter or letters ; in this case the former factor is said to be the coefficient of the latter . Thus in the product 7abc ...
Σελίδα 4
With Numerous Examples Isaac Todhunter. above the quantity the number which represents how often it is repeated in the product . Thus a2 is used to express a × a ; also of a as is used to express a xa xa ; and at is used to express a xa ...
With Numerous Examples Isaac Todhunter. above the quantity the number which represents how often it is repeated in the product . Thus a2 is used to express a × a ; also of a as is used to express a xa xa ; and at is used to express a xa ...
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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.