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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. "
First Lessons in Algebra: Embracing the Elements of the Science - Side 231
av Charles Davies - 1839 - 252 sider
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Elements of Science and Art: Being a Familiar Introduction to ..., Volum 2

John Imison - 1822 - 488 sider
...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 - 1838 - 372 sider
...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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Elements of Algebra

1839 - 368 sider
...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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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1842 - 284 sider
...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 - 1842 - 368 sider
...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 - 1845 - 382 sider
...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 sider
...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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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1848 - 302 sider
...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 said to be in proportion by inversion, or inversely1 — 149. When are quantities in proportion by nMernation ? 1 5O. Quantities are said to...
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Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 sider
...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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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1850 - 292 sider
...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,...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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