| 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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