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Boeken Boek 41 - 42 van 42 over IF magnitudes, taken jointly, be proportionals, they shall also be proportionals....
" 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... "
The Elements of Euclid with Many Additional Propositions and Explanatory Notes - Pagina 51
door Eucleides - 1860
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 403 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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 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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