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" Quantities are said to be in proportion by alternation, or alternately, when antecedent is compared with antecedent and consequent with consequent. Thus, if we have the proportion 3 : 6 : : 8 : 16, the alternate proportion would be 3 : 8 : : 6 : 16. QUEST.... "
Elementary Algebra: Embracing the First Principles of the Science - Σελίδα 231
των Charles Davies - 1850 - 279 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...

First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - 1839 - 272 σελίδες
...if we have the proportion 3 : 6 : : 8 : 16, the inverse proportion would be 6 : 3 : : 16 : 8. 1 49. Quantities are said to be in proportion by alternation,...inversely 1 — 149. When are quantities in proportion by alternation 1 1 5O. Quantities are said to be in proportion by composition, when the sum of the...

First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - 1839 - 264 σελίδες
...if we have the proportion 3 : 6 : : 8 : 16, the inverse proportion would be 6 : 3 : : 16 : 8. 1 49. Quantities are said to be in proportion by alternation,...quantities proportional ? What is the middle one called ? — 148. When are quantities said to be in proportion by inversion, or inversely? — 149. When are...

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...

First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - 1840 - 266 σελίδες
...if we have the proportion 3 : 6 : : 8 : 16, the inverse proportion would be 6 : 3 : : 16 : 8. 1 49. Quantities are said to be in proportion by alternation,...said to be in proportion by inversion, or inversely ? — 149. When are quantities in proportion by alternation ? 150. Quantities are said to be in proportion...

First Lessons in Algebra: Embracing the Elements of the Science

Charles Davies - 1840 - 264 σελίδες
...if we have the proportion 3 : 6 : : 8 : 16, the inverse proportion would be 6 : 3 : : 16 : 8. 1 49. Quantities are said to be in proportion by alternation,...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,...

Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - 1842 - 284 σελίδες
...if we have the proportion 3 : 6 : : 8 : 16, the inverse proportion would be 6 : 3 : : 16 : 8. 1 49. Quantities are said to be in proportion by alternation,...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...




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