 | Euclid - 1835 - 540 sider
...III. THEOH. 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...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... | |
 | 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... | |
 | 1836 - 488 sider
...whole line. III. 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...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... | |
 | Andrew Bell - 1837 - 290 sider
...III. THEOREM. 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...divided into two parts in the point C ; the rectangle AB • BC, is equal to the rectangle AC • CB, together with the square of BC. Upon BC describe (I.... | |
 | John Playfair - 1837 - 332 sider
...III. THEOR. 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. Let the straight line AB be divided into two parts, in the point C ; the B E rectangle... | |
 | Euclides - 1837 - 112 sider
...III. Theorem. 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. Proved by showing that AB x BC = figures AD + CE, and that these are = AC x CB + CB*.... | |
 | Euclid, James Thomson - 1837 - 410 sider
...parts, is equal to the square of that part, together with the rectangle contained by the two parts. Let the straight line AB be divided into two parts...the point C ; the rectangle AB.BC is equal to the square of BC, together with the rectangle AC.CB. \ r R Upon BC describe (I. 46.) the square CE; prodace... | |
 | Robert Simson - 1838 - 434 sider
...III. THEOR. IF a straight line be diyided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained...divided into two parts in the point C ; the rectangle AB, BC is equal to the rectangle AC, OB together with the square of BC. Upon BC describe (46. 1.) the... | |
 | Euclides - 1838 - 264 sider
...III. THEOR. If a straight line be dieided 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. Let the straight line AB be divided into any two parts in the point C : the rectangle... | |
 | Euclides - 1841 - 378 sider
...III. THEOR. 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. Let the straight line AB be divided into any two parts in the point C; the rectangle... | |
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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. 
