 To divide 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 of the other part.  (Report). - Pagina 48door Elizabethan club - 1880Volledige weergave - Over dit boek
 | Euclides - 1862 - 172 pagina’s
...straight line, &c. QED PROP. XI.— PROBLEM. To divide a given straight line into two parts, so that tlie rectangle contained by the whole and one of the parts shall be equal to the square of the other part. (References— Prop. i. 3, 10, 46, 47 ; Ii. 6.) Let AB be the given straight line.... | |
 | Euclides - 1862 - 140 pagina’s
...straight line into two parts, so that the rectangle contained by them may be the greatest possible. 2. Divide a given straight line into two parts, so that the rectangle contained by them may be equal to a given square. 3. Produce a given straight line, so that the rectangle contained... | |
 | University of Oxford - 1863 - 316 pagina’s
...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... | |
 | Henry White - 1864 - 156 pagina’s
...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...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 without or in the circumference,... | |
 | Woolwich roy. military acad - 1864 - 588 pagina’s
...one of the angles of an equilateral triangle. 8. Draw a straight line 2'76 inches long, and divide it into two parts, so that the rectangle contained by...and one of the parts shall be equal to the square of the other part. FREE-HAND DRAWING. REV. W. KINGSLBY, BD [NB — The Drawing must be entirely Free-hand;... | |
 | Euclides - 1864 - 448 pagina’s
...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... | |
 | Euclides - 1865 - 402 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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... | |
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