The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also the Book of Euclid's Data, in Like Manner CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Resultat 1-5 av 100
Side 126
... ratio to the fecond which the third has to the fourth ; then any ... because E is the fame multiple of A , that F is of C ; and of E and F have ... because , as A is to Hypoth . B , fo is C to D b , and of A and C have been taken certain ...
... ratio to the fecond which the third has to the fourth ; then any ... because E is the fame multiple of A , that F is of C ; and of E and F have ... because , as A is to Hypoth . B , fo is C to D b , and of A and C have been taken certain ...
Side 135
... because A has a greater ratio to C , than B has to C , there are a fome equimultiples of A and B , and fome a 7. def . 5.7 multiple of C fuch , that the multiple of A is greater than the multiple of C , but the multiple of B is not ...
... because A has a greater ratio to C , than B has to C , there are a fome equimultiples of A and B , and fome a 7. def . 5.7 multiple of C fuch , that the multiple of A is greater than the multiple of C , but the multiple of B is not ...
Side 137
... As therefore A is to B , fo are A , C , E together_to_B , D , F together . Wherefore , if any number , & c . Q. E. D. PROP . XIII . THEOR . IF the first has to the second the fame ratio which the set N. third has to the fourth , but the ...
... As therefore A is to B , fo are A , C , E together_to_B , D , F together . Wherefore , if any number , & c . Q. E. D. PROP . XIII . THEOR . IF the first has to the second the fame ratio which the set N. third has to the fourth , but the ...
Side 138
... Therefore A has a greater ratio to 7. def . 5. B , than E has to Fc . Wherefore , if the firit , & c . Q. E. D. See N. 28.5 . COR . And if the first have a greater ratio to the second , than the third has to the fourth , but the third ...
... Therefore A has a greater ratio to 7. def . 5. B , than E has to Fc . Wherefore , if the firit , & c . Q. E. D. See N. 28.5 . COR . And if the first have a greater ratio to the second , than the third has to the fourth , but the third ...
Side 145
... ratio , viz . as A is to B , fo is D to É ; and as B to C , fo is E to F. If A be greater than C , D fhall be greater than F ; and , if equal , equal ; and if lefs , lefs . C 8.5 . D E F b13.5 Because A is greater than C , and B is any ...
... ratio , viz . as A is to B , fo is D to É ; and as B to C , fo is E to F. If A be greater than C , D fhall be greater than F ; and , if equal , equal ; and if lefs , lefs . C 8.5 . D E F b13.5 Because A is greater than C , and B is any ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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