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Libros Libros 1 - 10 de 147 sobre In a series of equal ratios, the sum of the antecedents is to the sum of the consequents...
" In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent. "
Mathematics for Practical Men - Página 46
por Olinthus Gregory - 1833 - 427 páginas
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A Theoretical and Practical Arithmetic: In which the Principles of that ...

Bézout - 1825 - 236 páginas
...: 3 is to the second : : 2 is to the third. Now, we have seen (186) that the sum of the antecedent? is to the sum of the consequents, as any one antecedent is to its consequent : we can then say here, that the sum 9 of the three parts proportional to the parts that we seek, is...
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Mathematics for Practical Men: Being a Common-place Book of Principles ...

Olinthus Gregory - 1834 - 427 páginas
...If there be a series of equal ratios represented by | = 'Ts = - we sa ave = « = f = У = Therefore, in a series of equal ratios, the sum of the antecedents...there be two proportions, as 30 : 15 : : 6 : 3, and 2 : 3 : : 4 : 6, then multiplying them term by term we shall have 30 x 2 : 15 x 3 : :6 x4:3 x 6, which...
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Mathematics for Practical Men: Being a Common-place Book of ... Pure and ...

Olinthus Gregory - 1838 - 427 páginas
..._ 1111 "~T~ * v~f~ 14-f- ou ., f. I. - A p IT« = .3 ° we shall have 3 . 5 . 7 + i5 = I % — I = V &cTherefore, in a series of equal ratios, the sum...there be two proportions, as 30 : 15 : : 6 : 3, and 2 : 3 : : 4 : 6, then multiplying them term by term we shall have 30 X 2 : 15X3::6X4:3X6, which is evidently...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - 1841 - 300 páginas
...= dq, e =fq, g = hq. Adding these equations q, or Dividing by 6 + d+f+h a-\-c-4-e-\-gac - ' In any series of equal ratios, the sum of the antecedents is to the sum of the consequents, as any one of the antecedents is to its consequent. 16. If a : b = c : d, and e :f= g : h, that is, — = —...
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An Elementary Treatise on Algebra: For the Use of Students in High Schools ...

Thomas Sherwin - 1841 - 300 páginas
...antecedents, is to the sum or difference of the consequents, as either antecedent is to its consequent ; the sum of the antecedents is to the sum of the consequents, as the difference of the antecedents is to the difference of the consequents; also, the sum of the, antecedents...
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A Treatise on Trigonometry, Plane and Spherical: With Its Application to ...

Charles William Hackley - 1851 - 372 páginas
...A4 : A4' : : be : be' : : cd : cd', &c. PLANE SAILING. therefore, since by the theory of proportion the sum of the antecedents is to the sum of the consequents as any one antecedent is to its consequent, A* : A6' : : A4 + be + cd + &c., : A4' + be' + cd' + >fec. But AJ + be + cd + Ac., is the whole distance...
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Elementary Algebra: For the Use of Schools

William Smyth - 1851 - 236 páginas
...-f- d : d. Comparing this with the proposed, we derive the following principle : In every proportion, th~e sum of the antecedents is to the sum of the consequents, as any one anetcedent is to its consequent. In like manner it may be shown, that the difference of the antecedents...
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Elementary Algebra

William Smyth - 1856
...-\-d : d. Comparing this with the proposed, we derive the following principle : In every proportion, the sum of the antecedents is to the sum of the consequents as any one antecedent is to its consequent. Let there be next a series of quantities, a, b, c, d, e, f, g h... forming, two and two, a series of...
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First Lessons in Algebra: In which the Elements of the Science are ...

Samuel Alsop - 1856 - 135 páginas
...§1O«5. If any number of like magnitudes be proportionals, one antecedent will be to its consequent as the sum of the antecedents is to the sum of the consequents. Let a : Ъ : : с : d : : e :f, then a:b::a-\-c-{-e:b-{-d -)-/• For since a : b : : с : d, and a...
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Elementary algebra

William Smyth - 1858
...the proposed, we derive the following principle : In every proportion, the sum of the antecedents u to the sum of the consequents as any one antecedent is to its consequent. Let there be next a series of quantities, a, b, c, d, e, f, g h . . . forming, two and two, a series...
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