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" 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. "
Elementary Course of Geometry ... - Pągina 51
per Charles William Hackley - 1847 - 103 pągines
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Principles of Modern Geometry: With Numerous Applications to Plane and ...

John Mulcahy - 1862 - 252 pągines
...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...
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Mathematical Exercises ...

Samuel H. Winter - 1864 - 348 pągines
...5. Solve the equations: (2) *y+ķ=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...
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Examples in Algebra for Senior Classes, Etc

James Wharton - 1864 - 180 pągines
...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...
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Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 474 pągines
...proportional quantities, the last is said to be a fourth proportional to the other three, takA in-order. 84. Quantities are said to be continually proportional,...common ratio, as in the quantities, 1, 2, 4, 8, 16, &c., where the common ratio is equal to 2. 85. Of any number of quantities, A, B, C, D, the ratio of...
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Navigation

James Pryde - 1867 - 506 pągines
...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...
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Elementary Geometry, Volum 2

James Maurice Wilson - 1868 - 150 pągines
...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....
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Elementary Mathematics: Embracing Arithmetic Geometry, and Algebra

Lewis Sergeant - 1873 - 182 pągines
...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...
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The elementary geometry of the right line and circle

William Alexander Willock - 1875 - 196 pągines
...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...
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Elements of Plane Geometry, Part 1

Thomas Hunter - 1878 - 142 pągines
...the one by the other. 4. Proportion is an equality of ratios. 5. Three quantities are in proportion when the first is to the second as the second to the third. Four quantities are in proportion when the first is to the second as the third to the fourth. For example,...
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Algebra

C R. Lupton - 1879 - 194 pągines
...three terms in a proportion be given, the fourth may be found from the equation ad=bc. 160. Hence if the first is to the second as the second to the third, the product of the extremes is equal to the square of the mean. Thus, if a : ь : : ъ : с then ас,...
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