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" Quantities are said to be in proportion by inversion, or inversely, when the consequents are made the antecedents and the antecedents the consequents. "
First Lessons in Algebra: Embracing the Elements of the Science - Σελίδα 231
των Charles Davies - 1839 - 252 σελίδες
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Elements of Science and Art: Being a Familiar Introduction to ..., Τόμος 2

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...

Elements of Geometry and Trigonometry

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...

Elements of Algebra

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...

Elementary Algebra: Embracing the First Principles of the Science

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...

Elements of Algebra

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...

Elements of Algebra: Including Sturms' Theorem

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...

Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

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...

Elementary Algebra: Embracing the First Principles of the Science

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...

Elements of Geometry and Conic Sections

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...

Elementary Geometry: With Applications in Mensuration

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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