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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. Let the straight line AB be divided... "
Examination Papers for Science Schools and Classes - Page 30
by Great Britain. Education Department. Department of Science and Art - 1886
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The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860
...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 the square on the other part. 7. If ABC be a triangle, and AD, BE, be drawn...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...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 other part. Enunciate any subsequent proposition of Euclid...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 pages
...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 other part. 4. When are circles said to touch one another...
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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 the rectangle contained by the whole and that part, together with the square on the other part. (References— Prop. I. 31, 34, 43, 46;...
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Responsions

University of Oxford - Education, Higher - 1863
...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 the other part. 10. In obtuse-angled triangles, if a perpendicular...
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Papers Read at the Royal Institute of British Architects

Architecture - 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 contained by the whole and that part, together with the square of the other part : Prove this by Euclid's demonstration, and...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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 the other part. Let the straight line AB be divided into...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864
...PROPOSITION VII. THEOREM. If a straight line be divided into any two parts, the squares on the whole tine, 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. Let the straight line AB be divided into...
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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...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1866
...respectively. 5. Prove that 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. Give Euclid's demonstration of this proposition...
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