 | Euclides - 1842 - 316 pages
...is equal to the squares of the two parts, together with twice the rectangle contained by the parts. Let the straight line AB be divided into any two parts in c : the square of AB is equal to the squares of AC, cв, and to twice the rectangle contained by AC,... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...Now by multiplication, 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...part, together with the square of the other part. two parts in the point C ; the squares of AB, BC, are equal to twice the rectangle AB.BC, together... | |
 | Education - 1844 - 688 pages
...several parts of the divided line. 7. If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal...part, together with the square of the other part. 8. If two circles touch one another internally, they shall not have the same centre. 9. Draw a straight... | |
 | James Wood - Algebra - 1845 - 442 pages
...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...part, together with the square of the other part. (EUCLID, Book n. Prop. 7-) Let a and b represent the two parts into which the given line is divided;... | |
 | Great Britain. Council on Education - 1845 - 696 pages
...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...part, together with the square of the other part. 62. To divide a given straight line into two parts, so that the rectangle contained by the whole, and... | |
 | Euclides - 1845 - 546 pages
...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... | |
 | Euclides, James Thomson - Geometry - 1845 - 382 pages
...other part, is equal to the square of the straight line which is made up of the whole and the former part. Let the straight line AB be divided into any two parts in C ; four times the rectangle AB.BC, and the square of AC, are equal to the square of the lme made up... | |
 | Euclides - 1846 - 292 pages
...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...the straight line AB be divided into any two parts at the point C : the squares of AB, BC shall be equal to twice the rectangle AB, BC, together with... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...(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...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 8 +BC8=2.AB.BC + AC8. ACB DFE Upon... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...=(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...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 ! +BC«=2.AB.BC + AC*. A CB Upon AB... | |
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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... 
