The Mathematical Repository: Containing Analytical Solutions of Near Five Hundred Questions, Mostly Selected from Scarce and Valuable Authors. Designed as Examples to Mac-Laurin's and Other Elementary Books of AlgebraJ. Nourse, 1775 - 336 σελίδες |
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Σελίδα iv
... the feries of the reciprocals of fquare numbers * ; was discovered by M. John Bernoulli , who , on that occafion , expreffes a fingular fatisfaction , but confeffes his inability to fum the feries of the reciprocals of cube numbers : The ...
... the feries of the reciprocals of fquare numbers * ; was discovered by M. John Bernoulli , who , on that occafion , expreffes a fingular fatisfaction , but confeffes his inability to fum the feries of the reciprocals of cube numbers : The ...
Σελίδα vi
... according as this , or that , feemed most ap- plicable to the given numbers . 8. Indetermined queftions ; as well thofe that are capable of innumerable anfwers , as thofe where the number of anfwers in integers is limited . where vi PREFA C ...
... according as this , or that , feemed most ap- plicable to the given numbers . 8. Indetermined queftions ; as well thofe that are capable of innumerable anfwers , as thofe where the number of anfwers in integers is limited . where vi PREFA C ...
Σελίδα 15
... the number of vo- ters was three times the majority by which the choice was carried ; and the product of the numbers which voted for each , was 122 times the faid majority : How many votes had each ? Let x be the greater , and y the ...
... the number of vo- ters was three times the majority by which the choice was carried ; and the product of the numbers which voted for each , was 122 times the faid majority : How many votes had each ? Let x be the greater , and y the ...
Σελίδα 27
... numbers , the greater whereof fhall be to the leffer , as their fum is to 45 ; and as their difference is to 9 ? Let x reprefent the greater , and y the leffer number ; Then +45 by question ; And y - y : 9 } : Th . • 45x = ( x + y × y ...
... numbers , the greater whereof fhall be to the leffer , as their fum is to 45 ; and as their difference is to 9 ? Let x reprefent the greater , and y the leffer number ; Then +45 by question ; And y - y : 9 } : Th . • 45x = ( x + y × y ...
Σελίδα 28
... the reft at 15d . now the first part was to the latter , as to : How much was fold of each ? Let x the quantity fold ... numbers are as 3 to 1 ; and the fuch of their fquares is to their fum as 15 to 1 ? the greater number ; Let Then ( 3 ...
... the reft at 15d . now the first part was to the latter , as to : How much was fold of each ? Let x the quantity fold ... numbers are as 3 to 1 ; and the fuch of their fquares is to their fum as 15 to 1 ? the greater number ; Let Then ( 3 ...
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The Mathematical Repository: Containing Analytical Solutions of Near Five ... James Dodson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
The Mathematical Repository: Containing Analytical Solutions of Five Hundred ... James Dodson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
The Mathematical Repository: Containing Analytical Solutions of Near Five ... James Dodson Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
Affume Alfo andy annuity arithmetical progreffion becauſe bers bought cafk coft COROL cubes diff differ by unity differences are equal Ditto divifion divifors equation fame fecond feries feverally fhare fheep fhillings fide find the fum find the numbers firft firſt fquare number ftock fubtraction fuch fum of whofe gain gallons geometrical progreffion given number greater greateſt greffion guineas Halley's method infinite feries James Bernoulli laft laſt leaft term leffer number leffer of thofe logarithm miles moidores multiplied n.nti number of terms numbers are thofe numbers in geometrical numbers required numbers whofe paid pence perfons progreffion are given queft queſt QUEST QUEST queſtion reprefent the numbers required to divide required to find ſeries ſhare ſquare Suppofe third thofe numbers thoſe tranfpofition uſed values Whence whofe differences whofe fum whoſe yards
Δημοφιλή αποσπάσματα
Σελίδα 79 - B set out from two towns, which were distant 247 miles, and travelled the direct road till they met. A went 9 miles a day ; and the number of days, at the end of which they met, was greater by 3 than the number of miles which B went in a day. How many miles did each go ? 17.
Σελίδα 48 - 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.
Σελίδα 21 - A hare is 50 leaps before a greyhound, and takes 4 leaps to- the greyhound's 3, but 2 of the greyhound's leaps are as much as 3 of the hare's ; how many leaps must the greyhound take to catch the hare ? Ans. 300.
Σελίδα 99 - There is a number consisting of three digits, the first of which is to the second as the second is to the third; the number itself is to the sum of its digits as 124 to 7; and if 594 be added to it the digits will be inverted. What is the number ? equal returns.
Σελίδα 19 - How long would it take the three together to do it ? 34. A cistern, into which the water runs by two cocks, A and B, will be filled by them both running together in 12 hours ; and by the cock A alone in 20 hours. In what time will it be filled by the cock B alone ? Let x — the time in which B will fill it alone.
Σελίδα 89 - Two partners A and B gained £18 by trade. A's money was in trade 12 months, and he received for his principal and gain £26. Also B's money, which was £30, was in trade 16 months.
Σελίδα 7 - His head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together.
Σελίδα 8 - ... the fraud being detected, and the pieces weighed, they were found to be worth, in the whole, no more than eight guineas ; what was the original value of each piece ? Ans 13s, 19.
Σελίδα 85 - TV of the whole journey ; and after he had travelled as many days as he went miles in one day, he met A.
Σελίδα 20 - A market-woman bought in a certain number of eggs at 2 a penny, and as many at 3 a penny, and sold them all out again at the rate of 5 lor two-pence, and, by so doing, lost 4d.