 | W J. Dickinson - Geometry - 1879 - 44 pages
...line made up of the half and the part produced. 11. Show how to divide a given 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. • Same proposition. Show that the squares on the... | |
 | Moffatt and Paige - 1879 - 506 pages
...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... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 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... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 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... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 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... | |
 | Samuel H. Winter - 1880 - 162 pages
...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 - 156 pages
...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 - 160 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 - 248 pages
...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 - 190 pages
...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... | |
| |
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. 
