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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. "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Σελίδα 54
των Robert Simson - 1781 - 466 σελίδες
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Glasgow University Calendar

University of Glasgow - 1883
...are given. When is the problem impossible. 3. Show how to divide a 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. If the length of the larger segment be 10 in., what is...

Military examinations. Mathematical examination papers set at an open ...

Civil service commission - 1883
...stated as a corollary to that proposition. g. — (1) 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. (2) If А В be so divided in C, and D be the middle...

Cambridge University Examination Papers

University of Cambridge - 1884
...together equal to the square on the whole line. 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. Prove that the rectangle contained by the two parts is...

Yale Examination Papers

F. B. Stevens - 1884 - 175 σελίδες
...side of the secant line is equal to two right angles. 3. To divide a 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. 4. To divide a given line into two parts, such that the...

The Civil service year book and official calendar

1884
...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 are equal...

Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...parts shall be equal to the square of the other part. It is required to divide AB 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. Upon AB describe the square ACDB ; T • bisect AC...

University of Oxford. Examination of women. Examination papers

Oxford univ, local exams - 1885
...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). Algebra....

Annual Report of the Chief Superintendent of Education

1885
...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* 1st ami...

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 point...

The Elements of Geometry

George Bruce Halsted - 1886 - 366 σελίδες
...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 point...




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