 | Moffatt and Paige - 1879
...if a straight line, etc. QED Proposition XI. Problem. To divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Let AB be the given straight line. It is required to... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 207 pages
...parts are also themselves equal and parallel. 2. To divide a given straight line into two parts so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 3. The opposite angles of any quadrilateral figure inscribed... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...the other part. Let AB be the given straight line : it is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. On AB describe the square ABDC; [I. 46. bisect AC at... | |
 | Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...double the squares on BC and CD. FS PROP. XI. PROBLEM. To divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. Let AB be a straight line. It is required to divide... | |
 | Samuel H. Winter - 1880
...of 1£ in., touching the two smaller ones. 4. Divide a straight line 3-3 in. long into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 5. Find both a mean1 and a third proportional to two... | |
 | Elizabethan club - 1880
...on OA and AB is equal to the rectangle OB . OC. 6. Divide a given straight line into two parts. so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 7. If a straight line touch a circle, and from the... | |
 | 1880 - 144 pages
...*the rectangle contained by the two parts. (viii.) To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 5. If the distances of a point from two given straight... | |
 | Education Ministry of - 1880
...bisects them. What is the hypothesis in this proposition ? 4. Divide a straight line into two parts, so that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. 5. Describe a square that shall be equal to a given rectilineal... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880
...equal to the difference of the squares on AB, BC. 5. Divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part. 6. If two circles touch each other externally in any... | |
 | Royal Institution of Chartered Surveyors - Agriculture - 1881
...section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 9. If in a circle two straight lines cut one another... | |
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AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. 
