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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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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 349 sider
...sq. on AC together with twice sq. on CD. QED PROPOSITION XI. PROBLEM. To 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. jD K I"' Let AB be the given st. line....
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...equal to the square on the other part. Let AB be the given straight line. 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 on the other part. CONSTRUCTION. — Upon AB describe...
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The Madras University Calendar, Volum 1

University of Madras - 1876
...less than that of any other equal triangle upon the same base. III. To 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. IV. (a) If from any point without...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...equal to the square on the other part. Let 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 on the other part. Upon AB describe the square ACDB (I....
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...see the note at the beginning of Book ii.] PROPOSITION XI. PROBLEM. 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 on the other part. Let AB be the given st. line. It is...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...same base, and between the same parallels, are equal to one another. 9. 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. 10. In a circle the angle in a semicircle...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...and determine when the di/erence instead of the sum of the triangles must be taken. 2. Divide a 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. Show that the point of section lies...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 sider
...squares on BD and AD = double the squares on BC and CD. FS PROP. XI. PROBLEM. To 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 on the other part. Let AB be a straight line. It is required...
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(Report).

Elizabethan club - 1880
...with twice the rectangle contained by the parts. Express this also algebraically. 5. Divide a line into two parts, so that the rectangle contained by the whole and one part shall be equal to the square on the other part. 6. If a =- 2, b = 3, c = o, what is the numerical...
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Report on the Training Systems for the Navy and Mercantile Marine of England ...

French Ensor Chadwick - 1880 - 207 sider
...lines towards the same parts are also themselves equal and parallel. 2. 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 on the other part. 3. The opposite angles of any quadrilateral...
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