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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 ... - Σελίδα 107
των Euclid, Dionysius Lardner - 1828 - 324 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 466 σελίδες
...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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 466 σελίδες
...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...

The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804
...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...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 518 σελίδες
...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,...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - 518 σελίδες
...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,...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 σελίδες
...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,...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 σελίδες
...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...

The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 σελίδες
...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 :...

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834
...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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