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" that the squares on the whole line and on one of the parts are together equal to twice the rectangle contained by the whole line and that 'part, together with the square on the other part. "
Examination Papers for Science Schools and Classes - Page 47
by Great Britain. Education Department. Department of Science and Art - 1890
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1886 - 512 pages
...the rectangle contained by ,the segments of the bane. Divide a given straight line into two parts, so that the squares on the whole line and on one of the part* shall he, together, three times the square on the other part. NEEDLEWORK. 20th December—2 to...
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 22

1878 - 632 pages
...Sept. 1877. 2. If a straight Hue be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole and that part, together with the square of the other part. AB is the hypotenuse of a right angled triangle...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides - 1878 - 398 pages
...to the two diagonals of the parallelogram. ill. 10. Divide a given straight line into two parts, so that the squares on the whole line and on one of the parts may be together double of the square on the other part. lit. 28. A triangle is turned about its vertex,...
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Pennsylvania School Journal, Volume 27

Education - 1878 - 514 pages
...is equal to the difference of their squares. 13. 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 ou the...
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John Heywood's complete guide to the standard examinations, consisting of 24 ...

Alfonzo Gardiner - 1878 - 146 pages
...15, and their difference is 2. Find the numbers. 7. 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...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 44 pages
...gnomon. Prove that if a straight line be divided into any two parts, the squares of the whole line and of one of the parts are together equal to twice the rectangle contained by the whole and that part together with the square on the other part. Same proposition. Prove this both geometrically...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879 - 94 pages
...complements, for a given parallelogram, can have ? Divide a given straight line into two parts, such that the squares on the whole line and on one of the parts shall be together double of the square on the other part. 4. The opposite angles of a quadrilateral...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879 - 506 pages
...straight line, etc. Proposition VII. Theorem. QED 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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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879 - 146 pages
...number be divided, &c.] 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...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879 - 376 pages
...complements, for a given parallelogram, can have ? U. 11. Divide a given straight line into two parts such that the squares on the whole line and on one of the parts shall be togplhet &o\3\Ax, <&.' square on the other patt. 1867. in. 22. If the chords, which bisect...
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