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" D, is said to be Compounded of the ratios of the first to the second, of the second to the third, and so on to the last. "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Σελίδα 127
των Rev. John Allen - 1822 - 494 σελίδες
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The Geography of Herodotus ...: Illustrated from Modern Researches and ...

James Talboys Wheeler - 1854 - 702 σελίδες
...courier was placed at the station which terminated each day's journey. The first comer gave his message to the second, the second to the third, and so on to the end, similar to the torch race of Hephaestus among the Hellenes ; and neither snow nor rain, nor heat...

Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - 1859 - 368 σελίδες
...that is, it is compounded of all the intervening ratios. For example, take the quantities a, b, x, y. The ratios of the first to the second, the second to the third, &c., are abx . abx a ,.,. — , — , — ; and their product is — , = — , which is a : y. oxy...

Elements of Plane and Solid Geometry: And of Plane and Spherical ...

Gerardus Beekman Docharty - 1867 - 474 σελίδες
...equal to 2. 85. Of any number of quantities, A, B, C, D, the ratio of the first, A, to the last, D, is said to be compounded of the ratios of the first to the second, of the stjcond to the third, and so on to the last. 86. Inverse ratio is when the antecedent is made...

Elementary Geometry: Congruent Figures

Olaus Henrici - 1879 - 218 σελίδες
...— If any number of points A, B, C, D. . . be given in a plane, and these be joined in any order, the first to the second, the second to the third, and so on, by segments of lines which terminate at these points, we obtain what is called a broken line. The first...

A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - 1896 - 418 σελίδες
...the fourth term being called the fourth proportional. 520. Numbers are in continued proportion when the ratios of the first to the second, the second to the third, the third to the fourth, etc., are equal. Thus, a, b, c, d, e, etc., are in continued proportion when...

Descriptive Astronomy: An Elementary Exposition of the Facts, Principles ...

Forest Ray Moulton - 1912 - 284 σελίδες
...first-magnitude star to the sixth-magnitude star is as 100 to one, it is found in order that the ratios from the first to the second, the second to the third, and so on, shall all be equal, that the ratio of the light from a first-magnitude star to that from a second-magnitude...

SF: The Other Side of Realism

Thomas D. Clareson - 1971 - 380 σελίδες
...recounting, or analysis. The story is what happens in the reader's mind as his eyes move from the first word to the second, the second to the third, and so on to the end of the tale. Let's look more closely at what happens on this visual journey. How, for example,...
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Teaching in the Block: Strategies for Engaging Active Learners

Robert Lynn Canady, Michael D. Rettig - 1996 - 328 σελίδες
...that is already known. Additionally, these images must somehow connect the items to be remembered, the first to the second, the second to the third, and so on. The first time this model is used, the teacher develops the visual associations in order to model the...
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