An Introduction to Algebra: With Notes and Observations: Designed for the Use of Schools and Places of Public EducationKimber and Conrad, and Joseph Crukshank; T. & G. Palmer, printers, 1811 - 220 sider |
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Resultat 1-5 av 12
Side 73
... Ratio is the quotient which arises from dividing the antecedent by the consequent , or the consequent by the antecedent . Four quantities are said to be proportional when the first is the same part or multiple of the second as the third ...
... Ratio is the quotient which arises from dividing the antecedent by the consequent , or the consequent by the antecedent . Four quantities are said to be proportional when the first is the same part or multiple of the second as the third ...
Side 74
... ratio as is denoted by the number of terms less one . Thus , in the series 2 , 6 , 18 , 54 , 162 , & c . 2 × 34 = 162 . V. The sum of any series in geometrical progression is found by multiplying the last term by the ratio , and ...
... ratio as is denoted by the number of terms less one . Thus , in the series 2 , 6 , 18 , 54 , 162 , & c . 2 × 34 = 162 . V. The sum of any series in geometrical progression is found by multiplying the last term by the ratio , and ...
Side 75
... ratio 2 , and the number of terms 10 ; what is the sum of the series ? First , 1x29 = 1 × 512 = last term . 512X2-1 1024-1 And = = 1023 = sum required . 1 2 - l 2. The first term of a geometric series is , the ratio , and the number of ...
... ratio 2 , and the number of terms 10 ; what is the sum of the series ? First , 1x29 = 1 × 512 = last term . 512X2-1 1024-1 And = = 1023 = sum required . 1 2 - l 2. The first term of a geometric series is , the ratio , and the number of ...
Side 111
... ratio of 2 to 5 . Ans . 20 and 40 . 3. The difference of two numbers is 3 , and the diffe- rence of their cubes is 117 ; what are those numbers ? Ans . 2 and 5 . 4. A company at a tavern had 81. 153. to pay for their reckoning ; but ...
... ratio of 2 to 5 . Ans . 20 and 40 . 3. The difference of two numbers is 3 , and the diffe- rence of their cubes is 117 ; what are those numbers ? Ans . 2 and 5 . 4. A company at a tavern had 81. 153. to pay for their reckoning ; but ...
Side 126
... ratio or common difference . 5. To the quotient last found , prefix the sign + or according as the progression is increasing or de- creasing , and this number being substituted for the un- known quantity , will be found to be one of the ...
... ratio or common difference . 5. To the quotient last found , prefix the sign + or according as the progression is increasing or de- creasing , and this number being substituted for the un- known quantity , will be found to be one of the ...
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An Introduction to Algebra: With Notes and Observations, Designed for the ... John Bonnycastle Uten tilgangsbegrensning - 1822 |
Vanlige uttrykk og setninger
affirmative algebra arithmetical mean arithmetical series co-efficient common denominator common difference common index completing the square consequently cube numbers cube root cubic equation decimal diff Diophantus dividend divisor equa equal extracting the root find the roots find the square find the sum find the value find three numbers find two numbers find x four numbers geometrical progression geometrical series give given equation given number greater greatest common improper fraction infinite series last term Let the number loga method moidores multiplied natural numbers nth power nth root number answering number of terms number required orders of differences quadratic equation question Reduce remainder Required the difference Required the product Required the square Required the sum required to find rithm root required RULE second term simple equations simple terms square root substituted subtracted sum required surd tion unknown quantity Whence whole numbers
Populære avsnitt
Side 26 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Side ii - Co. of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit : " Tadeuskund, the Last King of the Lenape. An Historical Tale." In conformity to the Act of the Congress of the United States...
Side 98 - If A and B together can perform a piece of work in 8 days, A and C together in 9 days, and B and C in 10 days : how many days would it take each person to perform the same work alone ? Ans.
Side 61 - Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required.
Side 164 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of differences.
Side 97 - A person has two horses, and a saddle worth £50 ; now if the saddle be put on the back of the first horse, it will make his value double that of the second ; but if it be put on the back of the second, it will make his value triple that of the first ; what is the value of each horse ? Ans.
Side 28 - To reduce a mixed number to an improper fraction, Multiply the whole number by the denominator of the fraction, and to the product add the numerator; under this sum write the denominator.
Side 192 - For the same reason, if the logarithm of any number be multiplied by the index of its power, the product will be equal to the logarithm of that power.
Side 39 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.
Side 50 - ... 4. Divide the dividend by the divisor, and the quotient will be the next term of the root. 5. Involve the whole root...