The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 119
... fame ratio to any equimultiples whatever of the fecond and fourth . Let A the firft have to B the fecond , the fame ratio which the third C has to the fourth D , and of A and C let E and F be any equimultiples whatever ; then E is to B ...
... fame ratio to any equimultiples whatever of the fecond and fourth . Let A the firft have to B the fecond , the fame ratio which the third C has to the fourth D , and of A and C let E and F be any equimultiples whatever ; then E is to B ...
Página 120
... fame mul- tiple of FD , that AB is of CD . Therefore if one magnitude , & c . Q. E. D. See N. PROP . VI . THEOR . F ... fame E , F ; the remainders GB , HD are either equal to E , F , or equimultiples of them . First , Let GB be equal to ...
... fame mul- tiple of FD , that AB is of CD . Therefore if one magnitude , & c . Q. E. D. See N. PROP . VI . THEOR . F ... fame E , F ; the remainders GB , HD are either equal to E , F , or equimultiples of them . First , Let GB be equal to ...
Página 123
... fame multiple , or the fame part of the fourth . Let A be to B , as C is to D ; and first let A be a multiple of B ; C is the fame multiple of D. Take E equal to A , and whatever multiple A or E is of B , make F the fame multiple of D ...
... fame multiple , or the fame part of the fourth . Let A be to B , as C is to D ; and first let A be a multiple of B ; C is the fame multiple of D. Take E equal to A , and whatever multiple A or E is of B , make F the fame multiple of D ...
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