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" If a straight line be divided into two equal, and also into two unequal parts ; the squares on the two unequal parts are together double of the square on half the line, and of the square on the line between the points of section. "
Solutions of the Cambridge Problems, from 1800 to 1820 - Page 650
by John Martin Frederick Wright - 1836
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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
...the line made of AB and BC together. Wherefore, if a, straight line &c. QED PROPOSITION 9. THEOREM. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...
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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
...To combine these conclusions is the proof of the Proposition itself (as in 5). r PROP. IX. THEOREM. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts art together double of the square on half the line and of the square on the...
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Ten years' Queen's scholarship questions, 1870-9, with answers to arithmetic ...

Education Ministry of - 1880 - 238 pages
...to the squares described on the other two sides, the angle contained by these two sides is a right angle. 2. If a straight line be divided into two equal, and also intb two unequal parts, the squares on the two unequal parts are together double of the square on half...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 176 pages
...equal to the rectangle contained by the two parts, together with the square on the aforesaid part. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...
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The Cambridge Examiner, Volume 3

Education, Higher - 1883 - 536 pages
...rectangle, the squares on PA and PC are together equal to the squares on PB and PD. 5. If a rectangle be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882 - 300 pages
...to the squares described 0n the other two sides, the angle contained by these two sides is a right angle. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...
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The Practical Teacher, Volume 1, Issue 1

Education - 1882 - 676 pages
...squares described upon the other two sides of it ; the angle contained by these two sides is a right angle. 2. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...
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Class lessons on Euclid

Marianne Nops - 1882 - 278 pages
...on the whole line = the squares on the parts, and twice the rectangle contained by the parts. II. 5. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of...
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The Cambridge Examiner, Volume 2

Education, Higher - 1882 - 498 pages
...between two straight lines not parallel, a straight line which shall be bisected in that point. 15. If a straight line be divided into two equal and also into two unequal parts the rectangle contained by the unequal parts together with the square on the line between the points of...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - Examinations - 1882 - 152 pages
...the same base and between the same parallels, the parallelogram shall be double of the triangle. 7. If a straight line be divided into two equal, and also into two unequal parts, the square on the two unequal parts are together double of the square on half the line and of the square...
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