| John Playfair - 1833 - 333 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
...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
...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 - 513 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 - 316 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
...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 - 513 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 - 472 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 - 311 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 - 240 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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