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" IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Side 58
av Euclides - 1841 - 351 sider
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The Cambridge Examiner, Volum 3

1883
...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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The Oxford examiner, ed. by M.W.I. Shilleto, Utgaver 1-5

Mary W I. Shilleto - 1882
...students are advised not to confine themselves to one paper, but to make use of the whole set. 1. If a straight line be divided into two equal, and also...square of the line between the points of section. Divide a given straight line into two parts, such that the square on one of them may be double of the...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...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 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, Volum 1,Utgave 1

1882
...squares on the two parts, together with twice the rectangle contained by those parts. SECTION IV. 1. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts ue together double of the square on half the line, and of the square on the...
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The Cambridge Examiner, Volum 2

1882
...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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Class lessons on Euclid

Marianne Nops - 1882
...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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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...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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The papers set at the professional preliminary examination

College of preceptors - 1882
...square described on the third side, then the angle contained by the two sides is a right angle. 4. If a straight line be divided into two equal and also into two unequal parts, then the rectangle contained by the unequal parts, together with the square on the line between the...
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The Competitor, Volumer 1-2

1882
...be equal in area to a given triangle, and shall have one of its angles equal to a given angle. 5. If a straight line be divided into two equal, and also into two nnequal parts, show that the rectangle contained by the unequal parts, together with the square on...
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Annual Report

1886
...Equal triangles on the same base and on the same side of it, are between the same parallels. 5. 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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