| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...PROBLEM. To bisect a given finite straight line — that is, to divide it into two equal parts. Let **AB be the given straight line; it is required to divide it into two** equal parts. Describe on AB an equilateral A ABC. [I. 1. Bisect L AC B by the straight line CD, meeting... | |
| Euclid - Geometry - 1890 - 442 pages
...sq. on BX = 2 (sq. on AM + sq. on MX). 95 Proposition 11. PROBLEM — To divide a given straight line **into two parts so that the rectangle contained by the whole and one** part may be equal to the square on the other part. Let AB be the given st. line. On AB describe the... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...whole and one of the parts may be equal to the square on the other part. Divide a given straight line **into two parts, so that the rectangle contained by the whole and one** part may be equal to the rectangle contained by the other part and another given straight line. 2.... | |
| Edward Albert Bowser - Geometry - 1890 - 414 pages
...equal. 59. Construct a square that shall be one-third of a given square. 60. Divide a straight line **into two parts so that the rectangle contained by the whole and one** part may be equal to a given square. 61. Produce AB to C so that the rectangle of AB and AC may be... | |
| 1891 - 718 pages
...equal to a given triangle, and have one of its angles equal to a given angle. 4. Divide a given line **into two parts, so that the rectangle contained by the whole and one of the parts shall** lie equal to the square of the other part. 5. Find a line the square of which shall be equal to the... | |
| Education - 1891 - 442 pages
...part together 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 - 1891 - 428 pages
...squares may equal 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 into... | |
| George Albert Wentworth - Algebra - 1891 - 550 pages
...area of which would be doubled by increasing its radius by 1 inch. 14. Divide a line 20 inches long **into two parts so that the rectangle contained by the whole and one** part may be equal to the square on the other part. 16. A can do some work in 9 hours less time than... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...the square on the line made up of the half and the part produced. 11. To divide a given straight line **into two parts, so that the rectangle contained by the whole and one** part shall be equal to the square on the other. 12. In obtuse-angled triangles, if a perpendicular... | |
| Seth Thayer Stewart - Geometry - 1893 - 262 pages
...draw .L to 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 of... | |
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