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. Let the straight line AB be divided... Examination Papers for Science Schools and Classes - Page 30by Great Britain. Education Department. Department of Science and Art - 1886Full view - About this book
| Euclides - 1883 - 96 pages
...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. AB . BC + AC2. v AB2 = AC2... | |
| F. B. Stevens - Examinations - 1884 - 175 pages
...given 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... | |
| Stewart W. and co - 1884
...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 to twice the rectangle contained by the whole** and that part, together with the square of the other part. Let AB be divided into any two parts in... | |
| Palaestra Oxoniensis - 1884
...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 to twice the rectangle contained by the whole** and that part together with the square of the other part : where is this proposition employed ? 8.... | |
| Dalhousie University - 1887
...triangles stand to one another. \ 4. If a straight line be divided into 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. 5. Hence give a Geometrical proof of the... | |
| E. J. Brooksmith - Mathematics - 1889
...to the triangle ABC. 4. 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. If AB be divided in C so that the square... | |
| Law - 1889
...line be divided into any two parts the sura of tho squares ou the whole line and either segment is **equal to twice the rectangle contained by the whole line and that** segment together with the sijuure on the other segment. 8. Prove that in an obtuse-angled triangle... | |
| Euclid - Geometry - 1890 - 400 pages
...divided into any two parts, the square on the whole line together with the square on one of the parts is **equal to twice the rectangle contained by the whole...line and that part, together with the square on the** remaining part. _X _ B Let st. line AB be divided in X. On AB describe sq. ABCD. In AD take E so that... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 132 pages
...accuracy '.] 1. If a straight line be divided into any two parts, prove that 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. Prove that the rectangle contained by the... | |
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