 | University of Oxford - 1863 - 316 páginas
...Parallelograms upon the same base and between the same parallels are equal to one another. 7. Divide a 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. 8. The three interior angles of every triangle are... | |
 | Woolwich roy. military acad - 1864 - 588 páginas
...-0378642. (2) To find the amount of ll. in 37 years at 4^ per cent, per annum compound interest. 11. Divide a given straight line into two parts, so that...rectangle contained by the whole and one of the parts shall be equal to the square on the other part. State the purpose of a proposition in the fourth book... | |
 | Henry White - 1864 - 156 páginas
...equal to the squares of the two parts, together with twice the rectangle contained by the parts. 5. Divide a given straight line into two parts, so that...rectangle contained by the whole and one of the parts shall be equal to the square of the other part. 6. Draw a straight line from a given point, either... | |
 | Euclides - 1864 - 448 páginas
...are double of the squares on AC, CD. Wherefore, if a straight line, &c. QED PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle cnntnined by the whole and one of the parts, shall be equal to the square oii the other part. Let AB... | |
 | 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... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 páginas
...the locus of D is a circle. Produce AC to B so that CB=AC, and use Ex. 203. PROPOSITION 11. PROBLEM. 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. Let AB be the given st. line ; it is required to divide... | |
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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. 
