| Euclides - 1885
...together with lour times the square on the line joining the points of bisection. 6. Divide a given **line into two parts, so that the rectangle contained by the whole and one** segment may be equal to any multiple of the square on the other segment. 7. If P be any point in the... | |
| George Bruce Halsted - 1886 - 366 Seiten
...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...and one of the parts shall be equal to the square** on the other part. Jf X GIVEN, the sect AB. REQUIRED, to find a point C such that rectangle AB,BC =... | |
| 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, and from the point... | |
| 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 hypothenuse... | |
| Canada. Department of the Interior - 1888
...the two parts, together with twice the rectangle contained by the parts. 7. Divide a ;ivon straight **line into two parts, so that the rectangle contained by the whole** an<l one of the parts shall be equal to the square on the other part. 8. Describe a square that shall... | |
| New Brunswick. Board of Education - 1889
...it, 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 will omit the 1st and... | |
| E. J. Brooksmith - 1889
...line, taken in order, prove that the rectangle AC . BD = AB . CD + BC . AD. 4. Divide a given straight **line into two parts, so that the rectangle contained by the whole** line and one of the parts shall be equal to the square of the other part. 5. Equal straight lines in... | |
| Queensland. Department of Public Instruction - 1890
...construction only, necessary in each of the following problems: — (a) To divide a given straight **line into two parts, so that the rectangle contained...and one of the parts shall be equal to the square** on the other part. (6) To describe a square that shall be equal to a given rectilineal figure. (11.14.)... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 Seiten
...that the complement is equal to half the other parallelogram. Ex. 652. — Divide a given straight **line into two parts so that the rectangle contained by the whole and one** part may be equal to the rectangle contained by the other part and a given finite straight line. Ex.... | |
| Edward Albert Bowser - 1890 - 393 Seiten
...are 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. Lot AB be the given line. Draw BD j. to AB so that BD' = given... | |
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