| John Imison - 1822 - 488 σελίδες
...antecedent. Thus if 1 : 2 : : 3 : 6 ; then inversely, 2 : 1 : : 6 : 3. 60. Alternate proportion is when antecedent is compared with antecedent, and consequent with consequent. Thus if § : 1 : : 6 : 3; then by alternation, 2 : 6 : : 1 : 3. 61. Proportion by composition is when the antecedent... | |
| Adrien Marie Legendre - 1838 - 372 σελίδες
...when the consequents are taken as antecedents, and the antecedents as consequents. 6. Magnitudes are in proportion by alternation, or alternately, when...compared with antecedent, and consequent with consequent. 7. Magnitudes are in proportion by composition, when the sum of the antecedent and consequent is compared... | |
| 1839 - 368 σελίδες
...inversely, when the consequents are made the antecedents and the antecedents the consequents. 173. Quantities are said to be in proportion by alternation,...compared with antecedent and consequent with consequent. 174. Quantities are said to be in proportion by composition, when the sum of the antecedent and consequent... | |
| Charles Davies - 1842 - 284 σελίδες
...antecedents the consequents. Thus, if we have the proportion 3 : 6 : : 8 : 16, the inverse proportion would be 6 : 3 : : 16 : 8. 1 49. Quantities are said to...quantities proportional ? What is the middle one called? — 148. When are quantities said to be in proportion by inversion, or inversely 1 — 149. When are... | |
| Charles Davies - 1842 - 368 σελίδες
...t'nversely, when the consequents are made the antecedents and the antecedents the consequents. 173. Quantities are said to be in proportion by alternation,...compared with antecedent and consequent with consequent. 174. Quantities are said to be in proportion by composition, when the sum of the antecedent and consequent... | |
| Charles Davies - 1845 - 382 σελίδες
...inversely, when the consequents are made the antecedents and the antecedents the consequents. 173. Quantities are said to be in proportion by alternation,...compared with antecedent and consequent with consequent. 174. Quantities are said to be in proportion by composition, when the sum of the antecedent and consequent... | |
| Nathan Scholfield - 1845 - 894 σελίδες
...when the consequents are taken as antecedents, aud the antecedents as consequents. 13. Magnitudes are in proportion by alternation, or alternately, when...compared with antecedent, and consequent with consequent. 14. Magnitudes are in proportion by composition, when the sum of the antecedent and consequent is compared... | |
| Charles Davies - 1848 - 302 σελίδες
...antecedents the consequents. Thus, if we have the proportion 3 : 6 : : 8 : 16, the inverse proportion would be 6 : 3 : : 16 : 8. 1 49. Quantities are said to...quantities proportional? What is the middle one called? — 148. When are quantities said to be in proportion by inversion, or inversely1 — 149. When are... | |
| Elias Loomis - 1849 - 252 σελίδες
...consequent the antecedent. Thus, if A : B :: C : D; then, inversely, B : A : : D : C. Def. 1. 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. Thus, if A : B :: C : D; A+B : A : : C+D : C, and A+B : B... | |
| Charles Davies - 1850 - 238 σελίδες
...have the proportion 3 : 6 : : 8 : 16. the inverse proportion would be Of Ratios and Proportions. 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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