 | Euclid - 1835 - Liczba stron: 540
...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 - Liczba stron: 684
...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 - Liczba stron: 488
...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 - Liczba stron: 290
...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 - Liczba stron: 332
...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 - Liczba stron: 112
...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 - Liczba stron: 410
...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 - Liczba stron: 434
...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 - Liczba stron: 264
...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 - Liczba stron: 378
...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. 
