Algebra for the Use of Colleges and Schools: With Numerous ExamplesMacmillan, 1866 - 553 σελίδες |
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Αποτελέσματα 1 - 5 από τα 49.
Σελίδα 76
... zero , and a is not ' zero . Thus an equation of the first degree cannot have more than one root . x + 3 4 -- 2 x + 1 2+ 76 EQUATIONS OF THE FIRST DEGREE .
... zero , and a is not ' zero . Thus an equation of the first degree cannot have more than one root . x + 3 4 -- 2 x + 1 2+ 76 EQUATIONS OF THE FIRST DEGREE .
Σελίδα 110
... zero . Thus R now coincides with Q ; and x = c - bn an - bn α- -b a - b = = 22 . Hence A and B meet at Q at the end of n hours after A was at P. II . Next suppose that a is greater than b , and c less than bn . The value of x is now ...
... zero . Thus R now coincides with Q ; and x = c - bn an - bn α- -b a - b = = 22 . Hence A and B meet at Q at the end of n hours after A was at P. II . Next suppose that a is greater than b , and c less than bn . The value of x is now ...
Σελίδα 114
... zero ; thus , denot- N ing the numerator by N , we have x = and we may ask what is 0 ' the meaning of this result ? Since A and B now travel with equal speed , they must always preserve the same distance ; so that they never meet . But ...
... zero ; thus , denot- N ing the numerator by N , we have x = and we may ask what is 0 ' the meaning of this result ? Since A and B now travel with equal speed , they must always preserve the same distance ; so that they never meet . But ...
Σελίδα 118
... zero as well as the 0 • 0 denominators , so that the values of x and y take the form Now by what we have shewn above , the second of the given equations may be written c But now T ax + by = k c , so that the second given equation is ...
... zero as well as the 0 • 0 denominators , so that the values of x and y take the form Now by what we have shewn above , the second of the given equations may be written c But now T ax + by = k c , so that the second given equation is ...
Σελίδα 119
... zero ; and thus if the value of one of the 0 A or the value of the other 0 unknown quantities takes the form takes the same form . But if some of the above quantities are zero , the values of the two unknown quantities do not ...
... zero ; and thus if the value of one of the 0 A or the value of the other 0 unknown quantities takes the form takes the same form . But if some of the above quantities are zero , the values of the two unknown quantities do not ...
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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.