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" D (as in fig. 2 and 3), this magnitude can be multiplied, so as to become greater than D, whether it be AC, or CB. Let it be multiplied until it... "
The First Six Books of the Elements of Euclid, with a Commentary and ... - Page 107
by Euclid, Dionysius Lardner - 1828 - 324 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
...often ; and let EF be the multiple thus taken of AC, and FG the fame multiple of CB. therefore HD ai 3. therefore EF and FG are each of them greater than D. and in Book V. every one of the cafes take H the double of D, K its triple, and fo on, till the multiple of...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...let the other be multiplied as often ; and let EF be the multiple thus taken of AC, and FG the lame multiple of CB. therefore EF and FG are each of them greater than D. and in every one of the cafes take H the double of D, K its triple, an fo on, till the multiple of D be that which firft becomes...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...as often; and let EF be the multiple thus taken of AC, and FG the fame multiple of CB. F G L B K HD therefore EF and FG are each of them greater than D. and in Book V. every one of the cafes take H the double of D, K its triple, and V * fo on, till the multiple...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...multiplied until LKH it become greatei thar> D, and let the other be multiplied as often ; and let EF be the -multiple thus taken of AC, and FG the same...therefore EF and FG are each of them greater than F — Cr Fig. 2. Fig. 3. D : and in every one of the cases, take H the double of D, K BookV. its triple,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...it be multiplied, until it become greater than D, and let the other be multiplied as often; and let EF be the multiple thus taken of AC, and FG the same multiple of CB: therefore EFand FG are each of them greater than Fig. 1. E C— G L B K H D I A D: and in every one of the cases,...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...be multiplied, until it become greater than D, and let the other be multiplied as often; and letEF be the multiple thus taken of AC, and FG the same multiple of CB: Therec fore EF and FG are each of them greater than D : and in Boo* V. every one of the cases, take...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...it be multiplied, until it become greater than D, and let the other be multiplied as often ; and let EF .be the multiple thus taken of AC, and FG the same multiple of CB : ThereC HJ) fore EF and FG are each of them greater than D : and in BO°* every one of the cases,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...it be multiplied, until it become greater than D, and let the other be multiplied as often ; and let EF be the multiple thus taken of AC, and FG the same multiple of CB : Therelore EF and FG are each of them greater than D : And in every one of the cases, take H the double...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1829 - 548 pages
...FG the same multiple of CB; therefore EF and FG are each of them greater than • Srettote. F— G B D : and in every one of the cases, take H the double of J), K, its triple, and so on, till the multiple of D be that which first becomes greater than FG :...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...it be multiplied until it become greater than D, and let the other be multiplied as often ; and let EF be the multiple thus taken of AC, and FG the same...each of them greater than D : and in every one of Fig. 1. E GB KH BOOK V. PROP. IX. the cases, take H the double of D, K its triple, and so on, till...
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