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. Introduction and books 1,2 - Page 402by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Queensland. Dept. of Public Instruction - Education - 1890
...necessary in each of the following problems: — (a) 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 on the other part. (6) To describe a square that shall be equal... | |
| E. J. Brooksmith - Mathematics - 1890 - 132 pages
...about the diameter of a square are likewise squares. 2. 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. If AB be so divided in C, and D be the middle point... | |
| Seth Thayer Stewart - Geometry - 1891 - 406 pages
...a given square, and their rectangle, a given rectangle. 19. Divide a straight line into two parts, **so that the rectangle contained by the whole and one of the** parts may equal the square of a line given less than the line to be divided. 20. Divide a given line... | |
| Education - 1891
...with the square on the other part. Prove this proposition. 8. 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. 9. If a straight line be divided into any two parts,... | |
| Seth Thayer Stewart - Geometry - 1893 - 225 pages
...diameter. Segments of diameter are sides of required CD. (P. x.) i9. Divide a straight line into two parts, **so that the rectangle contained by the whole and one of the** parts may equal the square of a line given less than the line to be divided. I. Erect a .L at one end... | |
| 1894
...find the dimensions of the room. (25.) B. 27. Show how 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. Given a line AB, show how to produce it to a point... | |
| Frederick Coate Wade - Catholic Church Education Manitoba - 1895 - 122 pages
...equal to the difference between two given squares. 5. 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. If one side of a triangle be bisected, the sum... | |
| 1897
...(6) Deduce II. 7. from propositions II. 4. and II. 3. 6. 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. II. 11. 7. (a) Prove that if two circles touch... | |
| United States. Bureau of Education - Education - 1907
...with twice the rectangle contained by the two parts. 8. Divide a given straight line into two parte, **so that the rectangle contained by the whole and one of the** parte may be equal to the square on the other part. The following is a list of the names of the Rhodes... | |
| Ireland. National Education Bd - 1907
...section, is equal to the square of half the line. 4. 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 of the other. SECTION B. 5. Jf one angle of a triangle be equal to... | |
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