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" If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Side 60
av Euclid, Isaac Todhunter - 1883 - 400 sider
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...equal to a given square. Is this always possible ? PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle...line which is made up of the whole and that part. D H Let AB be divided into any two parts at C. Then four times rect. AB, BC with sq. on AC = sq, on...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879
...BC=twice rect. .4£, BCtogether with sq. on AC QED JH a PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts, four times the rectangle...parts, together with the square on the other part, is eqtial to the square on the straight line which is made up of the whole and the first part. -A' & 'B...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - 1879 - 36 sider
...sum of the squares on two lines is never less than twice their rectangle. 8. If a straight line be divided into any two parts, four times the rectangle...line and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that...
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The Madras University Calendar, Volum 1

University of Madras - 1879
...line thus produced and the part of it produced, together with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. V. Produce a given straight Hue so that the rectangle contained by the...
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Mathews' Euclid examination papers ... on Euc. i.-iv

Edward Harri Mathews - 1879
...line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. The rectangle under the sum and difference of two straight lines is equal...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...line thus produced and the part of it produced, together •with the square on half the line bisected, is equal to the square on the straight line which is made up of the half and the part produced. Let the straight line AB be bisected in C and produced to the point D....
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Report of Her Majesty's Civil Service Commissioners, Together with ..., Volum 23

Great Britain. Civil Service Commission - 1879
...an angle equal to a given rectilineal angle. 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 5. Angles in the same segment of a circle are equal to...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...angles equal to a given rectilineal angle. 9. Divide a given straight line into two parts, so that the rectangle contained by the whole line and . one of the parts shall be equal to the square of the other part. 11. Inscribe an equilateral and equiangular hexagon...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...the square on AC. Wherefore, if a straight line &c. QED PROPOSITION 8. THEOREM. If a straight line be divided into any two parts, four times the rectangle...is equal to the square on the straight line which u made up of the whole and thai part. Let the straight line AB be divided into any two parts at the...
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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...the sum of the squares on two lines is never less than twice their rectangle. 8.If a straight line be divided into any two parts, four times the rectangle...line and one of the parts, together with the square of the other part, is equal to the square of the straight line, which is made up of the whole and that...
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