 | John Playfair - 1844 - 338 σελίδες
...then, AD=2a+6, and CD=a+6. Now by multiplication, PROP. VII. THEOR. If a straight line be divided into two parts, the squares of the whole line, and of one...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. two parts in the point C ; the squares of... | |
 | James Wood - 1845 - 442 σελίδες
...following Examples will sufficiently illustrate the preceding Theory, for our present purpose: — Ex. !.. If a straight line be divided into any two parts,...equal to twice the rectangle 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... | |
 | Great Britain. Council on Education - 1845 - 696 σελίδες
...described upon the other two sides of it, the angle contained by these two sides is a right angle. 61. If a straight line be divided into any two parts,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. 62. To divide a given straight line into... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...with the square of CB, is equal to the square of CD : which was to be proved. PROP. VII. THEOB. — If a straight line be divided into any two parts,...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 into... | |
 | Euclid - 1845 - 218 σελίδες
...line, &c. QED PROPOSITION VII. THEOR. — If a straight line be divided into any two parts, the iquares 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 into... | |
 | Euclides - 1846 - 292 σελίδες
...together with the 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...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 into... | |
 | 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,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the str. line AB be divided into any... | |
 | 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,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. Let the str. line AB be divided into any... | |
 | 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...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. L et the straight line AB be divided into... | |
 | 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,...equal to twice the rectangle contained by the whole and that part, together with the square of the other part. PROP. VIII. THEOREM. If a straight line... | |
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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... 
