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" AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. "
A complete set of male pupil teachers' examination questions in Euclid [book ... - Side 19
av W J. Dickinson - 1879 - 36 sider
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University of Oxford. Examination of women. Examination papers

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...
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The Elements of Geometry

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,...
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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,...
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Annual Report

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....
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Wisconsin Journal of Education, Volum 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...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

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...
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Annual Report of the Schools of New Brunswick

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

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

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...
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Euclid Revised: Containing the Essentials of the Elements of Plane Geometry ...

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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