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" When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c. "
Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ... - Σελίδα 198
των James Bates Thomson - 1844 - 252 σελίδες
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The Propositions of the Fifth Book of Euclid Proved Algebraically: with an ...

George Sturton Ward - 1862 - 104 σελίδες
...magnitudes of the same kind, the first is said to have to the last of them the ratio which is compounded of the ratios of the first to the second, of the second to the third, the third to the fourth, and so ou unto the last magnitude." This he has explained and accommodated...

Higher Arithmetic, Or, the Science and Application of Numbers: Combining the ...

James Bates Thomson - 1862 - 436 σελίδες
...Arithmetic. SECTION XVIII. PROGRESSION. Am. 596* When there is a series of numbers such, that the "atios of the first to the second, of the second to the third, <fec., are all equal, the numbers are said to be in Continued Proportion, or Progression. Progression...

Higher Arithmetic, Or, the Science and Application of Numbers: Combining the ...

James Bates Thomson - 1862 - 428 σελίδες
...100 ? SECTION XVIII. PROGRESSION. Ant. 596. When there is a series of numbers such, that the ~atios of the first to the second, of the second to the third, &c., are all equal, the numbers are said to be in Continued Proportion, or Progression. Progression...

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

Gerardus Beekman Docharty - 1867 - 474 σελίδες
...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 second to the third, and so on to the last. 86. Inverse ratio is when the antecedent is made the consequent, and the consequent...

A Treatise on Elementary Algebra

James Hamblin Smith - 1869 - 412 σελίδες
...called a MEAN PKOPOBTIONAL between a and c. Four quantities .are said to be in Continued Proportion when the ratios of the first to the second, of the second to the third, and of the third to the fourth are all equal. Thus a, b, c, d are in continued proportion when a :...

Elementary Algebra

James Hamblin Smith - 1870 - 452 σελίδες
...PKOPOETIONAL between aandc. . - ... - ... Four quantities are said to be in Continued Proportion when the ratios of the first to the second, of the second to the third, and of the third to the fourth are all equal. Thus a, b, c, d are in continued proportion when a :...

Syllabus of Plane Geometry: (corresponding to Euclid, Books I-VI) ...

Association for the improvement of geometrical teaching - 1876 - 66 σελίδες
...number of magnitudes of the same kind, the first is said to have to the last the ratio compounded of the ratios of the first to the second, of the second to the third, and so on to the last magnitude. DEF. io. If there are any number of ratios, and a set of magnitudes...

Elementary Geometry ...

James Maurice Wilson - 1878 - 450 σελίδες
...number of magnitudes of the same kind, the first is said to have to the last the ratio compounded of the ratios of the first to the second, of the second to the third, and so on to the last magnitude. Def. 10. If there are any number of ratios, and a set of magnitudes...

Elementary algebra. To which is now added an appendix

James Hamblin Smith - 1883 - 466 σελίδες
...called a MEAN PEOPOETIONAL between a and c. Four quantities are said to be in Continued Proportion when the ratios of the first to the second, of the second to the third, and of the third to the fourth are all equal. Thus a, 6, c, d are in continued proportion when a :...

Syllabus of plane geometry, books 1-3, corresponding to Euclid, books 1-4 ...

Mathematical association - 1883 - 86 σελίδες
...number of magnitudes of the same kind, the first is said to have to the last the ratio compounded of the ratios of the first to the second, of the second to the third, and so on to the last magnitude. DEF. 10. If there are any number of ratios, and a set of magnitudes...




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