 | University of Bombay - 1907 - 328 pages
...rigorously that if two squares are of equal area, their sides are equal and conversely. 3. Divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Divide a given straight line into two parts... | |
 | Manchester univ - 1877 - 544 pages
...contained by the parts of a straight line will be greatest when the parts are equal. 7. To divide a straight line into two parts such that the rectangle contained by the whole line, and one of the parts may be equal to the square on the other part. If AB bo the straight line, ABCD the square... | |
 | Euclid - 1845 - 336 pages
...in Prop. 8 or (b -a) ins. in Prop. 10; then (a + 6) (a - b) = a? - b*, or 183. PROP. 12. To divide a straight line into two parts such that the rectangle contained by the whole line and one part may be equal to the squares on the other part. To divide the given straight line AB into two parts... | |
 | Mathematics - 1904 - 500 pages
...this, he reduced the problem of the construction of the isosceles triangle required to the cutting of a straight line into two parts, such that the rectangle contained by the whole line and one part is equal to the square on the other part, and this he put into the second book, where it stands... | |
 | University of St. Andrews - 1905 - 682 pages
...the points of contact. MATHEMATICS (FIRST PAPER). TUESDAY, MARCH 21, 1905 — 9 TO 11 AM 1. Divide a line into two parts such that the rectangle contained by the whole line and one part may be equal to the square on the other part. If the length of the line be 10, find to two places... | |
 | Cowley Oxon, dioc. school - 1860 - 318 pages
...parts. Give the proof. 10. Describe a square which shall be equal to a given rectilineal figure. 11. Divide a given straight line into two parts such that the rectangle contained by the two is the greatest possible. 12. What sort of triangles as to their angles are those whoso sides are... | |
 | University of St. Andrews - 1900 - 670 pages
...point D ; show that the rectangle AD, DB together with the square on CD is equal to the square on CB. Divide a given straight line into two parts such that the rectangle contained by them shall be the greatest possible. 17. Two circles touch one another internally ; show that the straight... | |
 | University of St. Andrews - 1891 - 440 pages
...and AB respectively of a triangle ABC. Show that BD- + CE2 + AF2 = CD2 + AE2 + BF:!. 3. To divide a straight line into two parts, such that the rectangle contained by the whole and one part may be equal to the square on the other part. If the given straight line be 10 inches... | |
 | 268 pages
...Similarly sqs on AB, AC>sq. on BC by 2 rect. CA, AD. .: rect. J?^, AE = iect. CA, AD. 149, 3. Shew how to divide a given straight line into two parts such that the difference of the squares described on them may be equal to a given rectangle. Is a solution always... | |
 | Ray C. Jurgensen, Alfred J. Donnelly, Mary P. Dolciani - Geometry - 1963 - 198 pages
...E. Prove that X {KCZD} = {EALD} = X {KCYD}, and that XYZ is a straight line. APPENDIX. THE PENTAGON. To divide a given straight line into two parts such that the square on the greater part may be equal to the rectangle contained by the whole line and the smaller... | |
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Divide a straight line into two parts such that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. 
