 | John Playfair - 1833 - 346 sider
...Therefore, if a straight line, &c. QED D IT E: 14 i A. PROP. III. THEOR. If a straight line he divided into any two parts, the rectangle contained by the...by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into two parts in the point C ; the rectangle AB.BC... | |
 | 1833 - 412 sider
...If a straight line be divided into any two parts, the rectangle contained OCT. 1832— JAN. 1833. B by the whole and one of the parts is equal to the...contained by the two parts together with the square of the aforesaid part. 5. If a straight line be divided into any two parts, the square of the whole line is... | |
 | Euclides - 1834 - 518 sider
...II. PROP. 111. IV. AC 46. 1. • 31. 1. D PROPOSITION III. TDEOR. — If a straight line be divided into any two parts, the rectangle contained by the...by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into any two parts in the point C : the rectangle... | |
 | Euclid - 1835 - 540 sider
...square of AB. " If, therefore, a straight line," &c. QED PROP. III. THEOH. If a straight line be divided into any two parts, the rectangle contained by the...parts, together with the square of the foresaid part. AC Let the straight line AB be divided into any two parts in the point C; the rectangle AB, BC is equal... | |
 | John Playfair - 1835 - 336 sider
...PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by Ike whole and one of the parts, is equal to the rectangle...by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into two parts, in the point C ; the rectangle... | |
 | 1835 - 684 sider
...divided into any two parts, the rectangle contained by the whole line and one of the parts, shall be equal to the rectangle contained by the two parts, together with the square of the aforesaid part. Let the straight line AB be divided into any two parts AC, С В : the rectangle under... | |
 | Robert Simson - 1835 - 544 sider
...of AB. " If, therefore, a straight line," &c. QED PROP. III. THEOR. . If a straight line be divided into any two parts, the rectangle contained by the whole and one of tJie parts, is equal to the rectangle contained by the two parts, together with the square of the foresaid... | |
 | 1836 - 488 sider
...of the parts, are together equal to the square of the whole line. III. If a straight line be divided into any two parts, the rectangle contained by the...parts, together with the square of the foresaid part. IV. If a straight line be divided into any two parts, the square of the whole line is equal to the... | |
 | John Playfair - 1836 - 488 sider
...AB.BC = AB2. Therefore, if a straight line, &c. QED PROP. III. THEOR. If a straight line be divided into any two parts, the rectangle contained by the...contained by the two parts, together with the square ofthefbresaid part. Let the straight line AB be divided into two parts in the point C ; the rectangle... | |
 | Andrew Bell - 1837 - 290 sider
...rectangle AB-BC, is equal to the square of AB. PROPOSITION III. THEOREM. If a straight line be divided into any two parts, the rectangle contained by the...rectangle AB • BC, is equal to the rectangle AC • CB, together with the square of BC. Upon BC describe (I. 46) the square CDEB, and produce ED to... | |
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If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part. 
