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" Quantities are said to be in proportion by inversion, or inversely, when the consequents are made the antecedents and the antecedents the consequents. "
First Lessons in Algebra: Embracing the Elements of the Science - Page 231
by Charles Davies - 1839 - 252 pages
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1861 - 322 pages
...if we have the proportion 3 : 6 : : 8 : 16, the inverse proportion would be 6 : 3 : : 16 : 8. 149. Quantities are said to be in proportion by alternation, or alternately, when antecedent is compared with ante cedeut and consequent with consequent. Thus, if we have the proportion 3 : 6 : : 8 : 16, the alternate...
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Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...its antecedent. Thus, let A : B : : C : D ; then, by inversion, B : A : : D : C. 132. Magnitudes are in proportion by ALTERNATION, or ALTERNATELY, when...antecedent, and consequent with consequent. Thus, let A : B : : D : C ; then, by alternation, A : D : : B : C. 133. Magnitudes are in proportion by COMPOSITION,...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 532 pages
...antecedent. Thus, let A : В : : С : D ; then, by inversion, В : A : : D : С. 132. Magnitudes are in proportion by ALTERNATION, or ALTERNATELY, when...antecedent, and consequent with consequent. Thus, let A : В : : D : С ; then, by alternation, A : D : : В : С. 133. Magnitudes are in proportion...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...its antecedent. Thus, let A : B : : C : D ; then, by inversion, B : A : : D : C. 132. Magnitudes are in proportion by ALTERNATION, or ALTERNATELY, when...antecedent, and consequent with consequent. Thus, let A : B : : D : C ; then, by alternation, A : D : : B : C. 133.- Magnitudes are in proportion by...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - 1863 - 436 pages
...if we have the proportion 3 : 6 : : 8 - 16the inverse proportion would be Of Ratios and Proportions6 Quantities are said to be in proportion by alternation, or alternately, when antecedent is compared with antec edent and consequent with consequentThus, if we have the proportion 3 : 6 : : 8 : J6, the alternate...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1866 - 328 pages
...Thus, let A : B : : C : D ; then, hy inversion, B : A : : D : C. 132. Magnitudes are in proportion hy ALTERNATION, or ALTERNATELY, when antecedent is compared...antecedent, and consequent with consequent. Thus, let A : B : : D : C ; then, by alternation, A : D : : B : C. 133. Magnitudes are in proportion by COMPOSITION,...
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Elements of Geometry and Trigonometry

C. Davies - 1867 - 342 pages
...we have the proportion 3 : 6 : : S • 15the inverse proportion would be Of Ratios and Proportiors6 Quantities are said to be in proportion by alternation, or alternately, when antecedent is compared with antec edent and consequent with consequentThus, if we have the proportion 3 : 6 : : 8 : 1C, the alternate...
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1868 - 340 pages
...its antecedent. Thus, let A : B : : C : D ; then, by inversion, B : A : : D : C. 132. Magnitudes are in proportion by ALTERNATION, or ALTERNATELY, when...antecedent, and consequent with consequent. Thus, let A : B : : D : C ; then, by alternation, A : D : : B : C. 133. Magnitudes are in proportion by COMPOSITION,...
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...proportional between the two adjacent ones. Thus, if a: b;;b: c :: c: d :: d: e, 295. Alternation is when antecedent is compared with antecedent and consequent with consequent. Thus, if a : b :: c : d, then, by alternation, a:c::b:d. See Art. 301. 296. Inversion is when antecedents are...
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Elements of Geometry and Trigonometry: With Applications in Mensuration

Charles Davies - Geometry - 1870 - 392 pages
...proportion 3 : 6 :: 8 : 16. the inverse proportion would be 6 : 3 :: 16 : 8. Of Ratios and Proportiops. 6. Quantities are said to be in proportion by alternation,...the alternate proportion would be 3 : 8 : : 6 : 16. 7. Quantities are said to be in proportion by composition, when the sum of the antecedent and consequent...
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