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" Because C has a greater ratio to D than E to F, there are some equimultiples of C and E, and some of D and F, such that the multiple of C is greater than the multiple of D, but the multiple of E is not greater than the multiple ~of F (Def. "
Elements of Geometry: With Their Application to the Mensuration of ... - Page 272
by Thomas Simpson - 1760 - 276 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...to the fixth F. Becaufe C has a greater ratio to D, than E to F, there are fome equimultiples of C and E, and fome of D and F fuch, that the multiple...greater than the multiple of D, but the multiple of E is K not greater than the multiple of F" . let fuch be taken. and of C, E a. 7 . let G, H be equimultiples,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...greater ratio to D, than E to F, there are fome equimultiples of C and E, and fome of D and F fuch, thit the multiple of C is greater than the multiple of D, but MGH — • A f^ "V'.i &• DF KKL • the multiple of E is not greater than the multiple of F*: Leta...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...E to the uxth F. Becaufe C has a greater ratio to D, than E to F, there are feme eqpimultiples of C and E, and fome of D and F fuch, that the multiple of C is greater than the multiple of D, but JJ the multiple of E is not greater than the multiple of F * : Let a 7. dcf. 5, fuch be taken, and...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...to the fixth F. Becaufe C has a greater ratio to D, than E to F, there are fome equimultiples of C and E, and fome of D and F fuch, that the multiple of C is greater than the multiple of D,but the multiple of E is MGH ACE B-^ — D — F NKL not greater than the multiple of F a. let fuch...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 324 pages
...Brigg's and «« Gregory's tranflations, at the beginning of this demonftration, " it is laid, and, the multiple of C is greater than the multiple of D ; " but the multiple of E is not greater than the multiple of F; which " words are'a literal tranflation from the greek : But...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...to the fixth F. Becaufe G has a greater ratio to D, than E to F, there are foine equimultiples of C and E, and fome of D and F fuch, that the multiple...greater than the multiple of D, but the multiple of E is MG — H A . , CE BDF — ~ N__ KL fcot greater than the multiple of F ». let fuch be taken, and...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...greater ratio to D, than E to F, there are some equimultiples of C and K, and some of D and F such, that the multiple of C is greater than the multiple of D, but MG HNK Lthe multiple of E is not greater than the multiple of F»: such be taken, and of C, E let G,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...D, than E to F, there are some equimultiples of C and E, and some of D and F such, that the mulnple of C is greater than the multiple of D, but the multiple of B is not greater than the multiple MGH fj t 1.1 , TO NKL of F a : Let such be taken, and of C, E, let...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...greater ratio to D, than E to F, there are some equimultiples of C and E, and some of D and F such, that the multiple of C is greater than the multiple of D, b.ut the multiple of E is not greater than the multiple MGH B— — D of Fas Let such be taken, ami of C, E, let G, H be...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...E to F, there are some equimultiples of С and E, and some of D and F such, lhat the multiple of С is greater than the multiple of D, but the multiple of E is not greater than the multiple of F : (5. Def. 5.) Lit such be taken, and of C, E let G, H be equimultiples,...
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