 | Henry Sinclair Hall - 1908 - Liczba stron: 286
...Problems. PROBLEM 32. To draw a square equal in area to a given rectangle. 238 PROBLEM 33. To divide a given straight line so that the rectangle contained by the whole and one part may be equal to the square on the other part. 240 PROBLEM 34. To draw an isosceles triangle... | |
 | Euclid - 1908 - Liczba stron: 550
...property of the triangle, though the latter brings out the result more easily. PROPOSITION n. To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment. Let AB be the given straight... | |
 | Alberta. Department of Education - 1912 - Liczba stron: 244
...angles as the figure has sides. 8 9. (a) If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line made... | |
 | Great Britain. Board of Education - 1912 - Liczba stron: 632
...shall be equal to a given angle. Show how to trisect an angle which is equal to half a right angle. 13. Produce a given straight line so that the rectangle contained by the whole line so produced and the part produced may equal the square on the given line. Solve the equation sb1 +... | |
 | Great Britain. Board of Education - 1912 - Liczba stron: 1044
...shall be equal to a given angle. Show how to trisect an angle which is equal to half a right angle. 13. Produce a given straight line so that the rectangle contained by the whole line so produced and the part produced may equal the square on the given line. Solve the equation a;3 +... | |
 | 1914 - Liczba stron: 914
...given square. I or Describe a square that shall be equal to a given rectilineal I figure. 6. Divide a given straight line so that the rectangle contained by the whole line and one of its parts may be equal to the square on the other part. 7. I Given the base, altitude, and... | |
 | Muḥammad ibn Mūsá Khuwārizmī - 1915 - Liczba stron: 206
...given in full, following Heath's Euclid. BOOK II OF THE Elements of Euclid, PROPOSITION n " To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment. " Let AB be the given straight... | |
 | Jay Hambidge - 1920 - Liczba stron: 216
...the "Elements" of Euclid (who flourished about 300 BC), the following propositions occur: (1) "To cut a given straight line so that the rectangle contained by the whole and one of the segments is equal to the square on the remaining segment" (Book II, proposition 11);... | |
 | David E. Smith - 1958 - Liczba stron: 756
...problem geometrically.2 He also gives in the Elements such geometric problems as the following : To cut a given straight line so that the rectangle contained by the whole and one of the segments shall be equal to the square on the remaining segment.3 This may be represented... | |
 | Douglas M. Campbell, John C. Higgins - 1984 - Liczba stron: 324
...the square on the line between the points of section equal the square on the half.7 II, 11 — To cut a given straight line so that the rectangle contained by the whole and one of the segments equals the square on the remaining segments.8 VI, 28 — To apply on a given... | |
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If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square... 
