 | Robert Simson - 1762 - 488 σελίδες
...B, F. Therefore as A is to B, fo is E to Fa. Wherefore ratios that, &c. Q^ED PROP. XII. THEO R. TF any number of magnitudes be proportionals, as one of the antecedents is to its confequcnt, fo fhall all the antecedents taken together be to all the confequents. Let any number of... | |
 | Robert Simson - 1775 - 534 σελίδες
...B, F : Therefore, as A is to B, fo is E to F". Wherefore ratios that, &c. Q^ED PROP. XII. THEO R. TF any number of magnitudes be proportionals, as one of the antecedents is to its confequent, fo fhall all the antecedents taken together be to all the cor.fequents. Let any number of magnitudes A,... | |
 | Euclid - 1781 - 552 σελίδες
...B, F : Therefore, as A is to B, fo is E to F*. Wherefore ratios that, &c. Q^ED PROP. XII. THEO R. / "IF any number of magnitudes be proportionals, as one \ of the antecedents is to its confequent, fo fhal! all the antecedents taken together be to all the cpnfeqtients. Let any number of magnitudes A,... | |
 | Robert Simson - 1781 - 534 σελίδες
...whatever of B, F. Therefore as A is to B, fo is E to F *. Wherefore ratios that, OED PROP. XII. THEO R. TF any number of magnitudes be proportionals, as one...•*• of the antecedents is to its confequent, fo (hall all the antecedents taken together be to all the confequents. Let any number of magnitudes A,... | |
 | Euclid, John Playfair - 1795 - 462 σελίδες
...any whatever of B and F ; therefore A : B : : E : F». Therefore, &c. Q., ED PROP. PROP. XII. THEO R. IF any number of magnitudes be proportionals, as one of the antecedents is to its confequent, fo (hall all the antecedents taken together be to all the confequents. If A:B::C:D, andC:D::E:F; A:B::A+C+E:... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...A is to B, fo a is E to F. Wherefore, &c. Q^ ED PROP. I J3 contains B; PROP. XII. THEOR. .BooK v-. IF any number of magnitudes be proportionals, as one of the antecedents is to its confequent, fo {hall all the antecedents taken together be to all the confequents. Let any number of magnitudes A,... | |
 | Robert Simson - 1804 - 530 σελίδες
...of B, F. Therefore as A is to B, fo is E to F •. Wherefore ratios that, &c. . D. PROP. XII. THEOR. IF any number of magnitudes be proportionals, as one of the antecedents is to its confequent, fo fhall all the antecedents taken together be to all the eonfequents. Let any number of magnitudes A,... | |
 | John Playfair, Euclid - 1804 - 468 σελίδες
...of B and F ; therefore A : B : : E : F a. Therefore, &c. Q^ ED Book V. *— * - ' PROP. XII. THE OR. IF any number of magnitudes be proportionals, as one of the antecedents is to itsconfequent, fb are all the antecedents, taken together, to all the confequents. If A : B : : C :... | |
 | Robert Simson - 1806 - 546 σελίδες
...of B, F : therefore, as A is to B so is E to F». Wherefore, ratios that, &c. QED PROP. XII. THEOR. IF any number of magnitudes be proportionals, as one of the antecedents is to its consequent, so shall all the antecedents taken together be to all the consequents. Let any number of... | |
 | John Playfair - 1806 - 320 σελίδες
...wF any whatever of B and F ; therefore A : B : : E : Fa. Therefore, &c. QED Bookv. PROP. XII. THEOR. IF any number of magnitudes be proportionals, as one of the antecedents is to its consequent, so are all the antecedents, taken together, to all the cdnsequents. If A : B : : C : D,... | |
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IF any number of magnitudes be proportionals, as one of the antecedents is to its consequent, so shall all the antecedents taken together be to all the consequents. 
