 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...  Questions and exercises in elementary mathematics - Page 172by Palaestra Oxoniensis - 1884Full view - About this book
 | Euclides - Geometry - 1841 - 378 pages
...CD. Wherefore, if a straight line, &c. QED PROP. VII. THEOR. *36. 1. a * 43. 1. If a straight line be divided into any two parts, the squares of the whole...whole and that part, together with the square of the otherpart. Let the straight line AB be divided into any two parts in the point C; the squares of AB,... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...to each member of the equality, we shall have, 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 j^_ CB two parts in the point C ; the squares of AB,... | |
 | Euclides - 1842 - 316 pages
...be divided into any two parts : the squares of the whole line, and one of the parts, are equivalent to twice the rectangle contained by the whole and...part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point c : the squares of A в, в с... | |
 | Education - 1844 - 688 pages
...contained by the undivided line and the several parts of the divided line. 7. If a straight line be divided into any two parts, the squares of the whole...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... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...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...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... | |
 | Great Britain. Council on Education - 1845 - 696 pages
...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, the squares of the whole...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... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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, the squares of the whole...part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal... | |
 | James Wood - Algebra - 1845 - 442 pages
...sufficiently illustrate the preceding Theory, for our present purpose: — Ex. !.. If a straight line be divided into any two parts, the squares of the whole...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;... | |
 | Euclid - Geometry - 1845 - 218 pages
...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...part, together with the square of the other part. Let the straight line AB be divided into any two parts in the point C ; the squares of AB, BC are equal... | |
 | Euclides - 1845 - 546 pages
...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 the straight line All be divided into any two parts in the point C. Then the squares of AB, BC... | |
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