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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 - Страница 322
написао/ла Euclid - 1908
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Recent Military, Naval, and Civil Service Examination Papers in Mathematics ...

Braithwaite Arnett - 1874 - 130 страница
...between the same parallels, are equal to one another. 3. 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 on the larger of the two parts into which the...
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Pure mathematics, Том 1

Edward Atkins - 1874 - 428 страница
...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 the square...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 страница
...straight line, &c. QED PROPOSITION 11.— 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. Let AB be the given straight line. It is required...
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Euclidian Geometry

Francis Cuthbertson - 1874 - 400 страница
...and PG, and is .-. = the square on GQ, (i. 35) PROBLEM B. 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. Let PQ be the given straight line. On PQ describe...
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The Pupil teacher, a monthly educational journal. H. Major, ed

Henry Major - 1876 - 784 страница
...together equal to the square on the whole line. 3. To divide a given straight line into two part?, so that the rectangle contained by the whole and one of the parts shall be equal to the square on the other part. 1. Prove the rule for finding the product of...
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Examination Christmas,1875

Education Department,London - 1876 - 1010 страница
...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...
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The Madras University Calendar, Том 1

University of Madras - 1876 - 580 страница
...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 a circle two...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1876 - 376 страница
...sq. on CD. QEB LA. IB Cor. PROPOSITION XI. PROBLEM. To divide a given straiyht line into two parts, so that the rectangle contained by the whole and one of the parts sliatt be equal to the square on the other part. It JD K n Let AB be the given si. line. On AB...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 страница
...straight line, &c. QED Proposition 11. — 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. Let AB be the given straight line. It is required...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 страница
...of 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...
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