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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 on the other part, is equal to the square on the straight line which is made up of the whole and that... "
Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ... - Page 85
by John Mason Good - 1813
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - Geometry - 1878 - 349 pages
...be drawn from G to B and from. (? to D, shew that BGD is a straight line. PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts,...contained by the whole line and one of the parts, together vrith the square on the other part, is equal to the square on the straight line which is made up of...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...together with the square on A C. Therefore, if a straight line, etc. QED Proposition VIII. Theorem. If a straight line be divided into any two parts,...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that...
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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...the given line shall be equal to a given square. Is this always possible ? PROPOSITION VIII. THEOREM. If a straight line be divided into any two parts,...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole and that...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 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 - Greek language - 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 - Euclid's Elements - 1880 - 400 pages
...AB, BC, together with the square on AC. Wherefore, if a straight line &c. QED PROPOSITION 8. THEOREM. If a straight line be divided into any two parts,...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which u made up of the whole and thai...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - Geometry - 1880 - 119 pages
...squares on AB and AC = twice the rectangle AB, AC, together with the square on BC. PROP. VIII. THEOREM. If a straight line be divided into any two parts,...line and one of the parts, together with the square on the other part, is equal to the square on the straight line which is made up of the whole line and...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880
...MATHEMATICS. (2.) 1. By the application of algebra to geometry divide a 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. If the solution is obtained by a quadratic equation...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...four times thu rectangle contained by fiem. ya straiyht line be divided into any two parts, four timet the rectangle contained by the whole line, and one of the parts, toe/ether with the square of the other part, is equal to the square of the straight line, which it...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882
...through the point of bisection and terminated by the parallel lines are also bisected in that point. 13. If a straight line be divided into any two parts,...line and one of the parts together with the square on the other part is equal to the square on the straight line which is made up of the whole and that...
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