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" Take of B and D any equimultiples whatever E and F; and of A and C any equimultiples whatever G and H. First, let E be greater than G, then G is less than E: and because A is to B, as C is to D, (hyp.) and of A and C... "
The Elements of Euclid with Many Additional Propositions and Explanatory Notes - Pagina 34
door Eucleides - 1860
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pagina’s
...as C is to D. Then also inversely, B shall be to A, as D to C. AB c - - D OEHF Take of B and D any equimultiples whatever E and F; and of A and C any equimultiples whatever G and H. First, let E\>& greater than G, then G is less than E: and because A is to B, as C is to D, (hyp.) and of A and...
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The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pagina’s
...C is to D. Then also inversely, 8 shall be to A, as D to C. D. F_ CONSTRUCTION Take of B and D any equimultiples whatever E and F ; and of A and C any equimultiples whatever G and H. DEMONSTRATION Then, first, if E be greater than G, G in less than E; and because A is to B, as C is...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 424 pagina’s
...Let A be to B as C is to D : then also, inversely, B shall be to A as D is to C. Take of B and D any equimultiples whatever E and F ; and of A and C any...First, let E be greater than G, then G is less than E. Then, because A is to B as C is to D ; [Hypothesis. and of A and C the first and third, G and H are...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...Let A be to B as C is to D : then also, inversely, B shall bo to A as D is to C. Take of B and D any equimultiples whatever E and F ; and of A and C any equimultiples whatever G and JI. First, let E bo greater than G, then G is less than E. Then, because A is to B as C is to D ; [Hypothesis....
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pagina’s
...A be to B, as C is to D. Then also inversely, B shall be to A, as D to C, ABCD Take of B and D any equimultiples whatever E and F; and of A and C any...First, let E be greater than G, then G is less than JS: and because A is to B, as C is to D, (hyp.) and of A and C, the first and third, 6 and H are equimultiples...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pagina’s
...as C is to D. Then also inversely, B shall be to A, as D to C. H. Construction. Take of B and D any equimultiples whatever E and F ; and of A and C any equimultiples whatever G and H. Demonstration. First, let E be greater than G, then 1. G is less than E ; and because A is to B, as...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 pagina’s
...A be to B, as C'is to D. Then also inversely, B shall be to A, as D to C. ABCD Take of B and D any equimultiples whatever E and F; and of A and C any...less than E: and because A is to B, as C is to D, (hyp.) and of A and C, the first and third, G and H are equimultiples ; and of B and D, the second...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 426 pagina’s
...Let A be to B as C is to D : then also, inversely, B shall be to A as D is to C. Take of B and D any equimultiples whatever E and F ; and of A and C any equimultiples whatever G and //. First, let E be greater than G, then G is less than E. Then, because A is to B as C is to Z> ;...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 pagina’s
...Inversely (Def. 14), B is to A as D is toC. G — Take of B and D any equimultiples whatever E aiul F; and of A and C' any equimultiples whatever G and...First, let E be greater than G, then G is less than E. Because A is to B, as C is to D (Hyp.), and of A and C the first and third, G and H are equimultiples...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 pagina’s
...B shall be to A as D is to C. Take of B and D any equimultiples whatever E and F ; and of A and (7 any equimultiples whatever G and H. First, let E be greater than G, then G is less than E. Then, because A is to B as G is to Z> ; [Hypothesis. GABE and of A and C the first and third, HCDF...
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