 | James Elliot - 1860 - 252 pàgines
...proportions are compounded together. DBF. 5. Any number of quantities are said to be Continued Proportionals when the first is to the second as the second to the third, as the third to the fourth, and so on. DEF. 6. When three quantities are continued proportionals, the first is said to have to... | |
 | James Wharton - 1860 - 176 pàgines
...candidate, and the final state of the poll. (111.) There ie a number consisting of three digits, of which the first is to the second as the second 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... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1861 - 140 pàgines
...a and c ; and ca third proportional to a and 6. Quantities are said to be in continued proportion, when the first is to the second, as the second to the third ; and as the third is to the fourth, and so on. If three numbers be in continued Arithmetical proportion,... | |
 | John Mulcahy - 1862 - 252 pàgines
...to the difference of the second and third. Three quantities are said to be in geometric proportion, when the first is to the second as the second to the third ; that is, when they are proportional in the sense of the Fifth Book of Euclid. The relation between... | |
 | Samuel H. Winter - 1864 - 348 pàgines
...5. Solve the equations: (2) *y+í=20 and -+y=L y xy x 16 6. There is a number of 3 digits of which the first is to the second as the second to the third: the number itself divided by the sum of its digits=1011>3-; and if 792 be added to the number the digits... | |
 | James Wharton - 1864 - 180 pàgines
...candidate, and the final state of the poll. (111.) There is a number consisting of three digits, of which the first is to the second as the second 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... | |
 | James Pryde - 1867 - 506 pàgines
...then by b, gives b = — . and c= -T-. 48. When three quantities are in continued proportion (that is, when the first is to the second as the second to the third) the second is said to be a mean proportional between the other two, and the third is said to be a third... | |
 | James Maurice Wilson - 1868 - 150 pàgines
...the means, and conversely. COR. 5. If three straight lines are in continued proportion, that is, if the first is to the second, as the second to the third, then will the rectangle contained by the extremes be equal to the square on the mean, and conversely.... | |
 | Lewis Sergeant - 1873 - 182 pàgines
...two numbers whose sum is 3 a, and their difference a. Find them. (29.) Find three numbers such that the first is to the second, as the second to the third ; the third is 9 times the first, and the sum of the first and second is 12. (30.) There is a number... | |
 | William Alexander Willock - 1875 - 196 pàgines
...may be considered in another point of view. When three magnitudes are in continued proportion, since the first is to the second as the second to the third, there are two equal ratios, which, if compounded, must give a duplicate ratio, namely, the ratio compounded... | |
| |
Proportion, when the ratio is the same between every two adjacent terms, viz. when the first is to the second, as the second to the third, as the third to the fourth, as the fourth to the fifth, and so on, all in the same common ratio. 
