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" Quantities are in proportion by composition, when the sum of antecedent and consequent is compared with either antecedent or consequent. 8. Quantities are in proportion by division, when the dif. "
Algebra for the Use of High Schools, Academies and Colleges - Σελίδα 385
των John Bernard Clarke - 1889 - 481 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

New Elementary Algebra: in which the First Principles of Analysis are ...

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...

Elements of Geometry and Trigonometry

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...

Algebra: Adapted to the Course of Instruction Usually Pursued in the ...

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...

A Treatise on Algebra

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....

New Elementary Algebra

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...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

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...

An Elementary Algebra

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...

A Treatise on Algebra

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....

Elements of Geometry and Trigonometry: From the Works of A.M. Legendre

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...

Manual of Algebra

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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