| Oxford univ, local exams - 1885
...to the squares described on the sides which contain the right angle. 7. Divide a given straight line **into two parts, so that the rectangle contained by the whole and** one of the parts may be equal to the square on the other part. 8. In a circle the angle in a semicircle... | |
| George Bruce Halsted - 1886 - 366 sider
...in A, rectangle + AG* = GF* = GH* = AH* + AG*, by 243 J 112 PROBLEM II. 313. To divide a given sect **into two parts so that the rectangle contained by the whole and** one of the parts shall be equal to the square on the other part. Jf X GIVEN, the sect AB. REQUIRED,... | |
| Dalhousie University - 1887
...between the points of section, is equal to the square on half the line. 10. Divide a given straight line **into two parts, so that the rectangle contained by the whole and** one of the parts may be equal to the square on the other part. 11. Tf a straight line touch a circle,... | |
| Canada. Department of the Interior - 1888
...triangle, and have one of its angles equal to a given rectilineal angle. 3. 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 on the other part, and prove this algebraically also.... | |
| 1888
...the third digit is twice the sum of the other two. Find the number. 5. Divide a line 20 inches long **into two parts so that the rectangle contained by the whole and** one part may be equal to the square of the other part. 6. Solve xs -f- ys = i8xy. x + y = 12. 7. The... | |
| E. J. Brooksmith - 1889
...the squares on the two parts, together with twice the rectangle contained by the two parts. How must **a straight line be divided into two parts, so that the rectangle contained by** them may be the greatest possible? 6. Draw a straight line from a given point, either without or in... | |
| New Brunswick. Board of Education - 1889
...prove that the angle contained by these two sides is a right angle. -">. Divide a given straight line **into two parts, so that the rectangle contained by the whole and** one of the parts shall !«• i-qual to the square of the other part. Female Candidates for Class I... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 sider
...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... | |
| Edward Albert Bowser - 1890 - 393 sider
...equal. 59. Construct a square that shall be one-third of a given square. 60. Divide a straight line **into two parts so that the rectangle contained by the whole and** one part may be equal to a given square. 61. Produce AB to C so that the rectangle of AB and AC may... | |
| Euclid - 1890 - 400 sider
...sq. on BX = 2 (sq. on AM + sq. on MX). 95 Proposition 11. PROBLEM — To 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. Let AB be the given st. line. On AB describe... | |
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