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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... "
Gradations in Euclid : books i. and ii., with an explanatory preface [&c ... - Page 161
by Euclides - 1858
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - Greek language - 1879 - 412 pages
...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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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 23

Great Britain. Civil Service Commission - 1879 - 620 pages
...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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The pupil teachers' handy mathematical and grammatical question-book, with key

Pupil teachers - 1880 - 1494 pages
...that 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...square of the other part, is equal to the square of the straight line, which is made up of the whole and that part. 9.If a straight line be divided into two...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...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, four times the...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

Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...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, four times the...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 - 190 pages
...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 - Euclid's Elements - 1881 - 236 pages
...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 - 498 pages
...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, four times the...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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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...their sum. Rect. AD, DB and sq. on CD = sq. on CB. Includes Euclid's II. 5 and 6. n. 8. If a straight line be divided into any two parts, four times the...contained by the whole line and one of the parts, with the square on the other part, is equal to the square on the straight line which is made up of...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...triangle are together less than two right angles. 5. If a straight line be divided into any two parts, the rectangle contained by the whole line and one of the parts is equal to the rectangle contained by the two parts, together with the square of the aforesaid part....
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