 | 1882
...be divided into any two parts, the sum of the squares on the whole line, and on one of the parts, is equal to twice the rectangle contained by the whole and that part, together with the square on the other part. 7. Prove that equal chords of a circle are equally distant from the centre.... | |
 | Joseph Hughes - 1883
...ED. QED 2. If a straight line be divided into any two parts, the squires on the whole line and on . one of the parts are equal to twice the rectangle...contained by the whole and that part, together with the square on the other part. Prop. 7, Bk. II. 3. In every triangle, the square on the side subtending... | |
 | Euclides - 1883 - 96 sider
...straight line be divided into any two parts, the squares on the whole line and on one of the parts will be equal to twice the rectangle contained by the whole and that part, together with the square on the other part. Let AB be divided into any two parts at C. A ' D To prove AB2 + CB2 = 2 rect.... | |
 | Richard Wormell - 1883 - 192 sider
...divided into any two parts, the square on the whole line and one of the parts is equal to four times the rectangle contained by the whole and that part, together with the square on the other part. Let AB be a straight line divided into two parts in С.. Л С В D IIII... | |
 | Stewart W. and co - 1884
...is equal to the square of CD. VII. — 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 AB be divided into any two parts in C. Then the squares of AB, BC, are... | |
 | Palaestra Oxoniensis - 1884
...only particular cases of Prop. I. 7. If a straight line is 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 : where is this proposition employed ? 8. Derive Prop. 8 from Props. 4 and... | |
 | F. B. Stevens - 1884 - 175 sider
...rectilineal angle. 3. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle...contained by the whole and that part, together with the square on the other part. (LEGEND KE.) 1. If two sides of a quadrilateral are equal and parallel, the... | |
 | 1885
...Prop. 44. 2. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that pan, together with the square on the other. Euclid, Book II.,Prop. 7. 3. To find a point at a given... | |
 | United States. Congress. Senate - 1880
...a straight line be divided into two parts, the squares of the whole line, and "f one of the parte, are equal to twice the rectangle contained by the whole and that I*"! together with the square of the other part. '• To draw a straight line from a given point, either... | |
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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... 
