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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. "
Introduction and books 1,2 - Page 402
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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the civil service year book and official calanedar.

SHEPPARD & ST. JOHN - 1884
...right angles by the straight line joining their centres. 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 of the other part. 4. The angles in the same segment of a circle...
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - History - 1884
...When a straight line is divided into two segments, such that the rectangle contained by the whole line and one of the segments is equal to the square on the other segment, the straight line is said to be divided in medial section.* B Thus, if AB be divided...
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THE ELEMENTS OF GEOMETRY.

GEORGE BRUCE HALSTED - 1885
...+ AG2 = GF* = GH2 = AH2 + A(?, by 243 ; 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, to find a...
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University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...one of its angles equal to a given rectilineal angle. 8. 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. WEDNESDAY, DECEMBER 12, from 9.30 AM to 12. 4 (I)....
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Annual Report of the Chief Superintendent of Education

New Brunswick. Education Office - 1885
...are equal to one another, and that the diagonal bisects it. 6. Divide a straight line 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. Female Candidates for Class I. will omit tit*...
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The Elements of Geometry

George Bruce Halsted - Geometry - 1886 - 366 pages
...+ 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, to find a...
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Calendar of Dalhousie College and University

Dalhousie University - 1887
...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...
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Annual Report

Canada. Dept. of the Interior - 1888
...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. 4. From a...
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Annual Report of the Schools of New Brunswick

New Brunswick. Board of Education - Education - 1889
...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...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889
...parts, together with the square on the aforesaid part. 5. 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. Describe a right-angled triangle sucl1 that the...
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