 | Euclid - 1890 - 442 σελίδες
...+ 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 - 1890 - 144 σελίδες
...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 - 718 σελίδες
...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 - 422 σελίδες
...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 - 442 σελίδες
...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 - 102 σελίδες
...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 - 550 σελίδες
...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 - 460 σελίδες
...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 - 74 σελίδες
...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 - 188 σελίδες
...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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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 part. 
