| 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... | |
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