Algebra for the Use of Colleges and Schools: With Numerous ExamplesMacmillan, 1866 - 553 σελίδες |
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Σελίδα 2
... observed that the sign of multiplication is often omitted for the sake of brevity ; thus ab is used instead of a × b , and has the same meaning ; so abc is used for a × bx c . Sometimes a point is used instead of the sign x ; thus a . b ...
... observed that the sign of multiplication is often omitted for the sake of brevity ; thus ab is used instead of a × b , and has the same meaning ; so abc is used for a × bx c . Sometimes a point is used instead of the sign x ; thus a . b ...
Σελίδα 16
... observe , that corresponding to the terms - b and - c which occur in two binomial factors , there is a term be in the product of the factors ; hence it is often stated as an independent truth , that -bx - cbc . These statements will be ...
... observe , that corresponding to the terms - b and - c which occur in two binomial factors , there is a term be in the product of the factors ; hence it is often stated as an independent truth , that -bx - cbc . These statements will be ...
Σελίδα 35
... observed that we have a power over the definitions ; for example , multiplication of positive quantities is defined in Arithmetic , and we should naturally retain that defi- nition ; but multiplication of negative quantities , or of a ...
... observed that we have a power over the definitions ; for example , multiplication of positive quantities is defined in Arithmetic , and we should naturally retain that defi- nition ; but multiplication of negative quantities , or of a ...
Σελίδα 40
... observe that when the multiplier is positive , the sign of the multiplicand is preserved in the product ; thus we are led to adopt the following convention : When the mul- tiplier is negative , perform the multiplication as if the ...
... observe that when the multiplier is positive , the sign of the multiplicand is preserved in the product ; thus we are led to adopt the following convention : When the mul- tiplier is negative , perform the multiplication as if the ...
Σελίδα 71
... observed that these definitions suppose both mem- bers of the equation to be integral expressions so far as relates to x , and not to contain x under the radical sign . 153. We shall now indicate some operations which may be performed ...
... observed that these definitions suppose both mem- bers of the equation to be integral expressions so far as relates to x , and not to contain x under the radical sign . 153. We shall now indicate some operations which may be performed ...
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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.