An Introduction to Algebra: With Notes and Observations : Designed for the Use of Schools and Places of Public Education : to which is Added an Appendix on the Application of Algebra to GeometryEvert Duyckinck, Daniel D. Smith and George Long, 1818 - 260 sider |
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Side 76
... person travel , who shall bring them one by one , to a basket , placed at the distance of a yard from the first stone ? Ans . 5 miles and 1300 yards . OF GEOMETRICAL PROPORTION AND PROGRESSION . GEOMETRICAL PROPORTION , is the relation ...
... person travel , who shall bring them one by one , to a basket , placed at the distance of a yard from the first stone ? Ans . 5 miles and 1300 yards . OF GEOMETRICAL PROPORTION AND PROGRESSION . GEOMETRICAL PROPORTION , is the relation ...
Side 80
... person being asked to dispose of a fine horse , said he would sell him on condition of having a farthing for the first nail in his shoes , a halfpenny for the second . a penny for the third , twopence for the fourth , and so on ...
... person being asked to dispose of a fine horse , said he would sell him on condition of having a farthing for the first nail in his shoes , a halfpenny for the second . a penny for the third , twopence for the fourth , and so on ...
Side 100
... person's share , Then will 1000 - x second person's share , And x 1000 - x :: 7 : 9 , by the question , That is 9x ( 1000 - x ) x 7 = 7000-7x , Or 9x + 7x = 7000 , or x = 7000 16 = 4377 . 10s . = 1st share , and 1000 - x = 1000-4371 ...
... person's share , Then will 1000 - x second person's share , And x 1000 - x :: 7 : 9 , by the question , That is 9x ( 1000 - x ) x 7 = 7000-7x , Or 9x + 7x = 7000 , or x = 7000 16 = 4377 . 10s . = 1st share , and 1000 - x = 1000-4371 ...
Side 104
... person , at the time he was married , was 3 times as old as his wife ; but after they had lived together 15 years ... persons voted , and the successful candidate had a majority of 120 ; how many voted for each ? Ans . 708 for one , and ...
... person , at the time he was married , was 3 times as old as his wife ; but after they had lived together 15 years ... persons voted , and the successful candidate had a majority of 120 ; how many voted for each ? Ans . 708 for one , and ...
Side 105
... persons , A and B , lay out equal sums of mo- ney in trade ; A gains 1261. and в loses 877. , and A's money is now double of B's ; what did each lay out ? B Ans . 3001 . 12. A person bought a chaise , horse , and harness , for 601 ...
... persons , A and B , lay out equal sums of mo- ney in trade ; A gains 1261. and в loses 877. , and A's money is now double of B's ; what did each lay out ? B Ans . 3001 . 12. A person bought a chaise , horse , and harness , for 601 ...
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An Introduction to Algebra: With Notes and Observations : Designed for the ... John Bonnycastle Uten tilgangsbegrensning - 1818 |
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Vanlige uttrykk og setninger
Algebra arithmetical arithmetical mean arithmetical series bers coefficient common denominator compound quantity consequently cube root cubic equation decimal denoted Diophantus dividend divisor equal EXAMPLES FOR PRACTICE find the difference find the least find the product find the square find the sum find the value find two numbers fraction required geometrical geometrical progression geometrical series give given number greatest common measure Hence improper frac improper fraction infinite series last term letters loga logarithms mixed quantity multiplied negative nth root number of terms number required PROBLEM proportion quadratic equation question quotient rational reduce the fraction remainder Required the difference Required the sum required to convert required to divide required to find required to reduce result rithm rule second term side simple form square number square root square sought substituted subtracted sum required surd tion triangle unknown quantity Whence α α
Populære avsnitt
Side 10 - 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 20 - 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 27 - 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 173 - Ios- y" &cFrom which it is evident, that the logarithm of the product of any number of factors is equal to the sum of the logarithms of those factors. Hence...
Side 77 - To divide the number 90 into four such parts, that if the first be increased by 2, the second diminished by 2, the third multiplied...
Side 93 - It is required to divide the number 24 into two such parts, that their product may be equal to 35 times their difference. Ans. 10 and 14.
Side 93 - It is required to divide the number 60 into two such parts, that their product shall be to the sum of their squares in the ratio of 2 to 5.
Side 94 - What two numbers are those whose sum, multiplied by the greater, is equal to 77 ; and whose difference, multiplied by the less, is equal to 12 ? Ans.
Side 30 - 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.