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" If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on the other part. "
Elements of geometry, containing the first two (third and fourth) books of ... - Página 203
por Euclides - 1872
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 páginas
...the limit which the side of the given square must not exceed so that the problem may be possible. 7. Divide a given straight line into two parts, such that the squares of the whole line and one of the parts shall be equal to twice the square of the other part. 8. Divide...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 páginas
...altitudes, whether they be situated on the same or on opposite sides of the same straight line. 2. Divide a given straight line into two parts such that the squares of the whole and of one of the parts shall be equal to twice the square of the other part. 3. From...
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National Society's Monthly Paper

1855 - 264 páginas
...altitudes, whether they be situated on the same or on opposite sides of the same straight line. 2. Divide a given straight line into two parts, such that the squares of the whole and of one of the parts shall be equal to twice the square of the other parts. than its...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 páginas
...the squares on half the line and the mean distance. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 páginas
...straight line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 páginas
...the same parallels, are equal to one another. 3. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square on the...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 páginas
...early part of the table and gradually decreasing. 14. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part together with the square of the...
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Responsions

University of Oxford - 1863 - 316 páginas
...section, is equal to the square on half the line. 9. If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 páginas
...geometrically divided into two such parts, that the sum of their squares shall be equal to a given square. 13. Divide a given straight line into two parts, such...on the whole line and on one of the parts shall be equal to twice the square on the other part. 14. Any rectangle is the half of the rectangle contained...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 páginas
...straight line, &c. QED PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole line, and on one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square on...
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