| Benjamin Greenleaf - 1863 - 338 σελίδες
...proportion by INVERSION, when each antecedent is made a consequent, and each consequent an antecedent. 313, Quantities are in proportion by COMPOSITION, when...is compared with either antecedent or consequent. 314. Quantities are in proportion by DIVISION, when the difference of antecedent and consequent is... | |
| Adrien Marie Legendre - 1863 - 464 σελίδες
...in proportion by inversion, when antecedents are made consequents, and consequents, antecedents. 7. Quantities are in proportion by composition, when...is compared with either antecedent or consequent. 8. Two varying quantities are reciprocally or inversely proportional, when one is increased as many... | |
| Paul Allen Towne - 1865 - 314 σελίδες
...proportion by alternation, when antecedent is compared with antecedent and consequent with consequent. 218. Quantities are in proportion by inversion, when antecedents...is compared with either antecedent or consequent. 22O. Quantities are in proportion by division, when the difference of antecedent and consequent is... | |
| Elias Loomis - 1868 - 386 σελίδες
...made antecedents. Thus, if a: b :: c \ d, then, inversely, b:a::d:c. See Art. 302. 297. Composition is when the sum of antecedent and consequent is compared with either antecedent or cpnsequent. Thus, if a:b::c:d, then, by composition, a+6:a::'c+d:c, and a+b :b:: c+d: d. See Art. 304.... | |
| Benjamin Greenleaf - 1870 - 334 σελίδες
...proportion by INVERSION, when each antecedent is made a consequent, and each consequent an antecedent. 313i Quantities are in proportion by COMPOSITION, when the sum of antecedent and consequent is compared witli fither antecedent or consequent. 314, Quantities are in proportion by DIVISION, when the difference... | |
| Charles Davies - 1872 - 464 σελίδες
...in proportion by inversion, when antecedents are made consequents, and consequents, antecedents. 7. Quantities are in proportion by composition, when...is compared with either antecedent or consequent. 8. Quantities are in proportion by division, when the dif-' fereuce of the antecedent and consequent... | |
| Daniel Barnard Hagar - 1873 - 278 σελίδες
...proportion by inversion when the antecedents are made consequents and the consequents antecedents ; in proportion by composition when the sum of antecedent...when the difference of antecedent and consequent is compared with antecedent or consequent. Theorem I. 331. In any proportion the product of the extremes... | |
| Elias Loomis - 1873 - 396 σελίδες
...antecedents. Thus, if a:b::c:d, then, inversely, b : a : : d : c. See Art. 302. 297. Composition is when the sum of antecedent and consequent" is compared with either antecedent or consequent. Thus, if a : b : : c : d, then, by composition, af b : a : : c+d : c, and a+b:b::c+d:d. See Art. 304.... | |
| Adrien Marie Legendre - 1874 - 500 σελίδες
...in proportion by inversion, when antecedents are made consequents, and consequents, antecedents. 7. Quantities are in proportion by composition, when...is compared with either antecedent or consequent. 8. Quantities are in proportion by division, when the dif.' ference of the antecedent and consequent... | |
| William Guy Peck - 1875 - 348 σελίδες
...proportion, by inversion, when antecedents are made consequents, and consequents are made antecedents. 162. Quantities are in proportion, by composition, when...is compared with either antecedent or consequent. 163. Quantities are in proportion, by division, when the difference of antecedent and consequent is... | |
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