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Boeken Boek 1 - 10 van 38 over Take of B and D any equimultiples whatever E and F; and of A and C any equimultiples....
" 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 36
door Eucleides - 1860
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 pagina’s
...the magnitude A be to B, as C is to D, then alfo inyerfely B if to A, as D to C. Take of B and D any equimultiples whatever E and F ; and of A and C any equimultiples whatever G and H. Firft, Let E be greater than G, then G is lefs than E ; and becaufe A is to B, as C is to D, and of...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 520 pagina’s
...the magnitude A be to B, as C is to D, then alfo inverfelf B is to A, as D to C. Take of B and D any equimultiples whatever E and F ; and of A and C any equimultiples whatever G and H. Firft, Let be greater than G, then G is lefs than E ; and, becaufe A is to B, as C is to D, and...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pagina’s
...the magnitude A be to B, as C is to D, then alfo inverfely B is to A, as D to C. Take of B and D any equimultiples whatever E and F ; and of A and C any equimultiples whatever G and H. Firft, Let E be greater than G, then G is lefs than E; and, becaufe A is to B, as C is to D, and of...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

Euclid - 1789 - 272 pagina’s
...has to D ; then, inverfely, B will have to A the fame ratio that D has to C. For, of B and D take any equimultiples whatever E and F ; and of A and c any equimultiples whatever c and H : Then, fince A is to B as c is to D (by Hyp.), and G, H are equimultiples of A, c, and E,...
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Elements of Geometry: Containing the Principal Propositions in the First Six ...

John Bonnycastle - 1803 - 279 pagina’s
...to D ; then, inverfely, B will -have to A the fame ratio that D has to C. For, of B arid D take any equimultiples whatever E and F ; and of A and c any equimultiples whatever G and H : Then, fince A is to B as c is to D (by Hyp-), and G, H are equimultiples of A, C, and E, F of B,...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...the magnitude A be to B, as C is to D, then alfo iaverfely B is to A, as D to C. Take of B and D any equimultiples whatever E and F; and of A and C any equimultiples whatever G and H. Firft, Let E be greater than G, then G is lefs than E ; and becaufe A is to B, as C is to D, and of...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1806 - 518 pagina’s
...the magnitude A be to B as C is to D, then also inversely B is to A as D to C. Take of fl 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, and of A and C, the first and third, G and H are equimultiples ; and of B and D, the second and fourth,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 pagina’s
...the magnitude A be to B, as C is to D, then also inversely B is to A, as D to C. Take of B and D any equimultiples whatever E and F; and of A and C any equimultiples whatever Garid H. First, Let E be greater than G, then G is less than E; nul, because A is to B, as C is to...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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, and of A and C, the first and third, G and H are equimultiples; and of B and D, the If the magnitude A be to B, as C is to D, then also inversely B is to A, as D to C. second and fourth,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pagina’s
...magnitude A ,be to B, as C is to t), then also inversely B is to A, as D to C. 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, and of A and C, the first and third, G and H are equimultiples ; and of B and D, the second and fourth,...
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