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Books Books 71 - 80 of 135 on Iff a straight line be divided into any two parts, four times the rectangle contained....
" Iff 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... "
Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ... - Page 158
by Miles Bland - 1819 - 377 pages
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Elements of geometry, based on Euclid, Books 1-3

Edward Atkins - 1876
...&c. Q. E, D. Proposition 8. — Theorem. 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...
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Elementary geometry

James Maurice Wilson - 1878
...rectangles contained by A and BD, A and DE, COR. i. <If a straight line is divided into two parts, the rectangle contained by the whole line and one of the parts is equal to the sum of the square on that part and the rectangle contained by the two part s\. COR....
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Report of Her Majesty's Civil Service Commissioners: Together ..., Volume 23

1879
...having 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 one another....
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879
...of its 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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Euclid, books i. & ii., with notes, examples, and explanations, by a late ...

Euclides - 1879
...possible ? PROPOSITION VIII. THEOREM. 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...
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A complete set of male pupil teachers' examination questions in Euclid [book ...

W J. Dickinson - Geometry - 1879 - 36 pages
...never less than twice their rectangle. 8. 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...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd (-4th) year

Moffatt and Paige - 1879
...line, etc. QED Proposition VIII. Theorem. 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...
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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 pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880
...never less than twice their rectangle. 8.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...
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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
...straight line &c. QED PROPOSITION 8. THEOREM. 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 u made...
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