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" If a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part. "
A School Euclid. Being Books I.&II. of Euclid's Elements. With Notes ... - Página 90
por Euclides - 1874
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...upon equal bases and between the same parallels are equal to one another. 6. If a straight line be divided into any two parts, the squares on the whole line and one of the parts are equal to twice the rectangle contained by the whole and that part together with...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 páginas
...squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares 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...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 páginas
...minority of 18. How many votes were recorded for each candidate ? EUCLID. 1. If a straight line be divided into any two parts, the squares on the whole...part, together with the square on the other part. 2. When are circles said to touch one another ? If two circles touch each other externally, the straight...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...differences " largest at the early part of the table and gradually decreasing. 14. If a straight line be divided into any two parts, the squares on the whole...by the whole and that part together with the square of the other part. Enunciate any subsequent proposition of Euclid in which this result is employed....
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862
...PROPOSITION 7. -THEOREM. If a straight line be divided into any two parts, the squares on the wlutle line) and on one of the parts, are equal to twice...part, together with the square on the other part. (References— Prop. I. 31, 34, 43, 46; II. 4, cor.) Hypothesis. — Lst the straight line AB be divided...
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Papers Read at the Royal Institute of British Architects

1863
...Proposition 7, Theorem ; It a straight line be divided into any two parts the squares of the whole line, and one of the parts, are equal to twice the rectangle...the whole and that part, together with the square of the other part : Prove this by Euclid's demonstration, and also (if there be time) algebraically....
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Responsions

University of Oxford - 1863
...by the parts. 8. If a straight line be divided into any two parts, the squares of the whole line and one of the parts are equal to twice the rectangle...the whole and that part, together with the square of the other part. 9. If a straight line be bisected and produced to any point, the square of the whole...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1864
...(a+b+c+d)\ 9. If a straight line be divided into any two parts, the squares of the whole line and of one of the parts are equal to twice the rectangle contained by the whole and that pan, together with the square of the other part. Prove that the area of any right-angled triangle is...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares 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...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...squares shall be equal to a given square. 13. Divide a given straight line into two parts, such that the squares 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...
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