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" To 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 of the other part. "
The first six books of the Elements of Euclid, with numerous exercises - Seite 42
von Euclides - 1853 - 147 Seiten
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

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...
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The Elements of Geometry

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 =...
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Calendar of Dalhousie College and University

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...
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Wisconsin Journal of Education, Band 18

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...
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Annual Report

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...
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Annual Report of the Schools of New Brunswick

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...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

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...
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Report of the Secretary for Public Instruction ...

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.)...
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The Harpur Euclid: An Edition of Euclid's Elements

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....
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The Elements of Plane and Solid Geometry ...

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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