 | Joseph Ray - Algebra - 1852 - 408 pages
...is, if the product of the first and third of three quantities is equal to the square of the second, the first is to the second, as the second to the third. .. Non. — It is recommended to the teacher to require the pupils to illustrate all the propositions... | |
 | William Frederick Greenfield - 1853 - 228 pages
...— To find a third proportional to two given numbers. If three numbers are continued proportionals, the first is to the second, as the second to the third, therefore the product of the first and third is equal to the jquare of the second. Hence the third... | |
 | Joseph Ray - Algebra - 1857 - 408 pages
...is, if the product of the first and third of three quantities is equal to the square of the second, the first is to the second, as the second to the third. NOTE. — It is recommended to the teacher to require the pupils to Illustrate all the propositions... | |
 | Theodore Strong - Algebra - 1859 - 570 pages
...the other two terms. (33.) OF GEOMETKICAL PEOGKÏ.SSION8. lumbers or quantities which are such that the first is to the second as the second to the third, and the second to the third as the third to the fourth, and the third to the fourth as the fourth to... | |
 | James Elliot - 1860 - 252 pages
...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 pages
...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 pages
...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 - Geometry - 1862 - 252 pages
...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 pages
...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 pages
...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... | |
| |
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. 
