 | Euclid - 1876 - 240 pagina’s
...to one of these, the remaining one B D («) V. 15. (<Z) V. 14. (6) Hypoth. (0 V. Dcf. 5. («) v. 11. of the first two shall have to the other the same...shall also be proportionals taken soparately, viz. as AE is to EB so is CFtoFD. DEMONSTRATION. Take of AE, EB, CF, FD any equimultiples whatever GH, HK,... | |
 | Robert Potts - 1876 - 446 pagina’s
...together havt to one of them, the same ratio which two others have to one of these, the remaining one of the first two shall have to the other the same...taken jointly which are proportionals ; that is, as AB to BE, BO let CD be to DF. Then they shall also be proportionals taken separately, •viz. as AE to... | |
 | Euclid, Isaac Todhunter - 1883 - 428 pagina’s
...together have to one of them the same ratio which two others have to one of these, the remaining one of the first two shall have to the other the same...one of the last two has to the other of these. Let AJB, BE, CD, DF be the magnitudes which, taken jointly, are proportionals ; that is, let AB be to BE... | |
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IF magnitudes, taken jointly, be proportionals, they shall also be proportionals when taken separately ; that is, if two magnitudes together have to one of them the same ratio which two others have to one of these, the remaining one of the first two shall... 
