| Euclid - 1890 - 400 Seiten
...+ 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... | |
| Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 Seiten
...approximately the thickness of the shell. II.— EUCLID AND TRIGONOMETRY. 1. Divide a given straight **line into two parts, so that the rectangle contained by the whole** line and one of the parts shall be equal to the square on the other part. 2. Describe a square that... | |
| 1891
...be 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... | |
| Seth Thayer Stewart - 1891 - 406 Seiten
...their 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... | |
| 1891
...that 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,... | |
| Rupert Deakin - 1891 - 79 Seiten
...of 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... | |
| George Albert Wentworth - 1891 - 521 Seiten
...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... | |
| Euclid - 1892 - 518 Seiten
...on half their sum and on half their difference. 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 straight line. It is required... | |
| James Andrew Blaikie, William Thomson - 1892
...line bisected, and on the line made up of the half and the part produced. 11. To divide a straight **line into two parts so that the rectangle contained by the whole** line and one part shall be equal to the square on the other part. 12. In an obtuse-angled triangle,... | |
| Euclid, John Bascombe Lock - 1892 - 167 Seiten
...drawn, etc. QEF Example. Divide a given straight line into any given number (say five) of equal parts. **Let AB be the given straight line ; it is required to divide** AB into five equal parts. Construction. From A draw a line AC making an angle of about half a right... | |
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