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. The Elements of Euclid - Side 41av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
| 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, Robert Simson - 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... | |
| Euclid, 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 - 471 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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