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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 ... - Side 54
av Robert Simson - 1762 - 466 sider
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The Madras University Calendar, Volum 1

University of Madras - 1876 - 580 sider
...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 a circle two straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 sider
...the squares of the segments of the diameter. 5. 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. Solve the problem algebraically. Interpret and construct...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 sider
...with twice the rectangle contained by the parts. 3. 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. Algebra. — 1. A man invests half his property at...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 382 sider
...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. On AB descr....
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Examination Christmas,1875

Education Department,London - 1876 - 1010 sider
...others so described with twice the original square. 3. 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. If the constructed figure be completed to form an oblong,...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 sider
...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 required to divide...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 sider
...if a straight line, etc. QED Proposition 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 the given straight line. It is required to...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 412 sider
...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 is a right...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 sider
...bisects them. What is the hypothesis in this proposition ? 4. 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. 5. Describe a square that shall be equal to a given rectilineal...
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Geometry, Old and New, Its Problems and Principles: A Paper

Benjamin Gratz Brown - 1879 - 68 sider
...insoluble problems. An illustration of this may be given in the case of a straight line, so divided that the rectangle contained by the whole and one of the parts shall be equal to the square of the other part — a proportion to be hereafter alluded to as of great...
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