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" Quantities are said to be in proportion by composition, when the sum of the antecedent and consequent is compared either with antecedent or consequent. "
Elementary Algebra: Embracing the First Principles of the Science - Page 231
by Charles Davies - 1848 - 279 pages
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Elements of Science and Art: Being a Familiar Introduction to ..., Volume 2

John Imison - Art - 1822 - 488 pages
...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...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1838 - 372 pages
...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...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1839 - 272 pages
...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 1 — 148. When are quantities said to be in proportion by inversion, or inversely 1 — 149. When...
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Elements of Algebra

Algebra - 1839 - 368 pages
...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...
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First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - Algebra - 1840 - 264 pages
...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...QUEST. — 147. When are three quantities proportional 1 What is the middle one called? — -148. When are quantities said to be in proportion by inversion,...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...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...said to be in proportion by inversion, or inversely 1 — 149. When are quantities in proportion by alternation 1 1 5O. Quantities are said to be in proportion...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...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...
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Elements of Algebra: Including Sturms' Theorem

Charles Davies - Algebra - 1845 - 382 pages
...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...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 894 pages
...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...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...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...
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