 | Robert Potts - 1865 - 528 páginas
...of the squares on AC, CD. Wherefore, if a straight liue, &c. QED PROPOSITION XI. PROBLEM. To divitfe 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 otlier part. Let AB be the given straight line. It is required... | |
 | Euclides - 1865 - 402 páginas
...acute angle and the perpendicular let fall upon it from the opposite angle s. . . n. 13. Problems. 1. To divide a given straight line into two parts, so that the rectangle under the whole and one of the parts is equal to the square on the other part . . . . . . n. 11. 2.... | |
 | 1867 - 224 páginas
...angle contained by those two sides is a right angle. 9. Define rectangle ; gnomon. '••/£: , 10. 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, jj yi . 1 1. Give construction only for describing... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...shew that the square on BC is equal to the rectangle AB, BF, together with the rectangle AC, CE. 161. Divide a given straight line into two parts so that the rectangle contained by them may bo equal to the square described on a given straight line which is less than half the straight... | |
 | Euclid, Isaac Todhunter - 1867 - 424 páginas
...shew that the square on BC is equal to the rectangle AB, BF, together with the rectangle AC, CE. 161. Divide a given straight line into two parts so that the rectangle contained by them may be equal to the square described on a given straight line which is less than half the straight... | |
 | Edinburgh univ - 1868 - 336 páginas
...Equal triangles upon the same base, and upon the same side of it, are between the same parallels. 4. To divide a given straight line into two parts, so...whole, and one of the parts, may be equal to the square of the other part. 5. The angles in the same segment of a circle are equal to one another. 6. If a... | |
 | Robert Potts - 1868 - 434 páginas
...double of the squares on AC, CD ; but DG is equal to DB; BOOK II. PROP. XI. PROPOSITION XI. PROBLEM. To divide a given straight line into two parts* so...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... | |
 | 1868 - 876 páginas
...is equal to the square of the straight line which is made up of the half and the part produced 25 5. Divide a given straight line into two parts, so that the rectangle contained by the whole mid one of the pails shall be equal to the square of the other part 25 100 B. Latt of Pupils recommended... | |
 | Washington Hudson - 1868 - 80 páginas
...other in the required ratio, which is represented by the squares с b г/and ach i. Fi«. 104. То divide a given straight line into two parts, so that the rectangle contained by the whole line and lesser part, shall be equal to the square on the other. Let AB be the given line. On AB as... | |
 | Euclid, John Casey - 1885 - 340 páginas
...together with four times the square on the line joining the points of bisection. 6. Divide a given line into two parts, so that the rectangle contained by the whole and one segment may be equal to any multiple of the square on the other segment. 7. If P be any point in the... | |
| |
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. 
