 | Euclides - 1845 - 546 σελίδες
...CB, is equal to the square of CD. Wherefore, if a straight line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts,...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... | |
 | James Wood - 1845 - 442 σελίδες
...the two parts into which the given line is divided; then a + b is the whole line, and (a + b)* + a1 = the squares of the whole line, and of one of the parts; = 2 (a + 6) a + b' = twice the rectangle &c. together with the square of the other part. QBD Ex. 2.... | |
 | Euclides - 1846 - 292 σελίδες
...square of CB, is equal to the square of CD. Wherefore, If a straight line %c. QED PROP. VII. THEOR. If a straight line be divided into any two parts,...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 - 1846 - 128 σελίδες
...produced b, the proposition algebraically expressed is (2a+b)b+a8=(a+b)8. PROP. XLVI. THEOR. 7 . 2 Eu . If a straight line be divided into any two parts,...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 - 1846 - 128 σελίδες
...b, the proposition algebraically expressed is (2a+b)b+a i =(a+b) s . PROP. XLVI. THEOR. 7 . 2 Eu . If a straight line be divided into any two parts,...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... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...equality, we shall have, .-. 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...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 ; the squares of AB, BC, are... | |
 | Euclides - 1848 - 52 σελίδες
...square of the straight line which is made up of the half and the part produced. PROP. VII. THEOREM. If a straight line be divided into any two parts,...part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle contained... | |
 | J. Goodall, W. Hammond - 1848 - 390 σελίδες
...the same base and on the same side of it, are between the same 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... | |
 | Great Britain. Committee on Education - 1848 - 606 σελίδες
...parallels. Section 5. 1. If a right line be divided into any two parls, the squr.res 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. i. If two circles cut each other, they... | |
 | Great Britain. Council on Education - 1848 - 596 σελίδες
...the same base, and on the same side of it, are between the same 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... | |
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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... 
