 | Euclides - 1842 - Liczba stron: 316
...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 rectangle AB,... | |
 | John Playfair - 1842 - Liczba stron: 332
...III. THEOR. If a straight line be divided into any two parts, the rectangle contained by tke 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 rectangle... | |
 | 1844 - Liczba stron: 688
...right angle. 6. 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. 7. Describe a square equal to a given rectilineal figure. 8. Find the centre of a circle.... | |
 | Euclides - 1845 - Liczba stron: 546
...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. Let the straight line AB be divided into any two parts in the point C. Then the rectangle... | |
 | Euclid, James Thomson - 1845 - Liczba stron: 382
...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. Upon BC describe (I. 46) the square CE ; produce ED... | |
 | Euclid - 1845 - Liczba stron: 218
...straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, w 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... | |
 | Euclid, John Playfair - 1846 - Liczba stron: 334
...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 rectangle... | |
 | Euclides - 1846 - Liczba stron: 292
...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... | |
 | Euclides - 1848 - Liczba stron: 52
...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. PROP. IV. THEOREM. If a straight line be divided into any two parts, the square of... | |
 | J. Goodall, W. Hammond - 1848 - Liczba stron: 390
...1. Prove that 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. 2. Prove that if a straight line be divided into two equal and also two unequal parts,... | |
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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. 
