 | Robert Simson - 1806 - 546 페이지
...&c. QED PROP. VIII. THEOR. See N. OF unequal magnitudes, the greater has a greater ratio to the same than the less has ; and the same magnitude has a greater ratio to the less, than it has to the greater. Let AB, BC be unequal magnitudes, of which AB is the greater, and let D... | |
 | John Playfair - 1806 - 320 페이지
...A. 5. &c. QED PROP. VIII. THEOR. OF unequal magnitudes the greater has a greater ratio to the same than the less has ; and the same magnitude has a greater ratio to the less than it has tQ file greater. Book V. Let A+B be a magnitude greater than A, and C a third Wv^W magnitude... | |
 | Euclides - 1816 - 588 페이지
...QED B CF PROP. VIII. THEOR. See N. Or unequal magnitudes the greater has a greater ratio to the same than the less has ; and the same magnitude has a greater ratio to the less, than it has to the greater. Let AB, BC, be unequal magnitudes, of which AB is the greater, and let... | |
 | John Playfair - 1819 - 354 페이지
...Therefore. &c. Q, ED PROP. VIII. THEOR. Of unequal magnitudes, the greater has a greater ratio to the same than the less has ; and the same magnitude has a greater ratio to the less than it has to the greater.. Let A+B"be a magnitude greater than A, and C a thifd magnitude _ A+B has... | |
 | Euclid, Robert Simson - 1821 - 514 페이지
...magnitudes, &c. Q,. ED PROP. VIII. THEOR. OF unequal magnitudes, the greater has a greater ratio to the same the less has; and the same magnitude has a greater ratio to the less, than it has to the greater.* Let AB, BC be unequal magnitudes, of which AB is the greater, and let... | |
 | James Ryan, Robert Adrain - 1824 - 542 페이지
...: : C : BQED PROP. VIII. THEOR. Of unequal magnitudes the greater has a greater ratio to the same, than the less has ; and the same magnitude has a greater ratio (o the less, than it has to the greater. DEMONSTRATION. Let A and B be two unequal magnitudes, of which... | |
 | James Ryan - 1824 - 550 페이지
...BQED &.?./*>. PROP. VIII. THEOR. Of unequal magnitudes the greater has a greater ratio to the same, than the less has ; and the same magnitude has a greater ratio lo the less, than it has to the greater. DEMONSTllATION. Let A and B be two unequal magnitudes, of... | |
 | Euclid - 1826 - 234 페이지
...M NT PROPOSITION VIII. THEOREM. Of unequal magnitudes, the greater has a greater ratio to the same magnitude than the less has ; and the same magnitude has a greater ratio to the less than it has to the greater magnitude. Let AB, с, be unequal magnitudes, and let AB be greater than... | |
 | Euclides - 1826 - 226 페이지
...= n. PROPOSITION VIII. THEOREM. Of unequal magnitudes, the greater has a greater ratio to the same magnitude than the less has ; and the same magnitude has a greater ratio to the less than it has to the greater magnitude. Let AB, c, be unequal magnitudes, and let AB be greater than... | |
 | James Ryan - 1826 - 430 페이지
...A : : C : BQED PROP. VIH. THEOR. Of unequal magnitudes the greater has a greater ratio to the same, than the less has - and the same magnitude has a greater ratio to the less, than it has to the greater. DEMONSTRATION. is greater than the ratio of 6 to C : and also that the... | |
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Of unequal magnitudes the greater has a greater ratio to the same than the less has : and the same magnitude has a greater ratio to the less than it has to the greater. 
