 | James Wood - 1845 - 442 pàgines
...for our present purpose: — Ex. !.. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. (EUCLID, Book n. Prop. 7-) Let a and b represent the two parts into which... | |
 | Great Britain. Council on Education - 1845 - 696 pàgines
...these two sides is a right angle. 61. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. 62. To divide a given straight line into two parts, so that the rectangle... | |
 | Euclides - 1845 - 546 pàgines
...line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice ihe rectangle contained by the whole and that part, together with the square of the other part. Let... | |
 | Great Britain. Admiralty - 1846 - 128 pàgines
...(2a+b)b+a8=(a+b)8. PROP. XLVI. THEOR. 7 . 2 Eu . If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. Let the str. line AB be divided into any two parts at the pt. C; then AB... | |
 | Great Britain. Admiralty - 1846 - 128 pàgines
...=(a+b) s . PROP. XLVI. THEOR. 7 . 2 Eu . If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. Let the str. line AB be divided into any two parts at the pt. C; then AB... | |
 | Euclid, John Playfair - 1846 - 334 pàgines
...i(2a+6)+o2=(a+i)2. PROP. VII. THEOR. •• If a straight line be divided into two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. L et the straight line AB be divided into any two parts in the point C ;... | |
 | Euclides - 1846 - 292 pàgines
...straight line %c. QED PROP. VII. THEOR. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal...contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided into any two parts at the point C : the... | |
 | Euclides - 1848 - 52 pàgines
...the part produced. PROP. VII. THEOREM. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...contained by the whole and that part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four... | |
 | Great Britain. Council on Education - 1848 - 596 pàgines
...parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. •>. If two circles cut each other,... | |
 | J. Goodall, W. Hammond - 1848 - 390 pàgines
...parallels. Section 5. 1. If a right line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle contained by the whole line and that part, together with the square of the other part. 2. If two circles cut each other, they... | |
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If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the straight line AB be divided... 
