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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Side 53
av Euclid, Robert Simson - 1821 - 516 sider
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The Practical Teacher, Volum 1,Utgave 1

1882
...the base, equal to one another, and likewise those which are terminated in the other extremity. 2. If a straight line be divided into two equal parts, and...contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 3. If from the...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...right angle. Write put the corresponding proposition for obtuseangled triangles. SECTION IV. — 1. If a straight line be divided into two equal parts and...contained by the unequal parts, together with the Euclid, Algebra, and Mensuration. 209 square on the line between the points of section, is equal to...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 266 sider
...line be bisected and produced, the rectangle of the whole line thus produced and the part produced, together with the square of the line between the points of section, is equal to the square of the line made up of the half and the part produced. For, CD being bisected in B and produced in A,...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...the same side together equal to two right angles. 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 section, is equal to the square on half the line. 6. The straight...
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The Cambridge Examiner, Volum 2

1882
...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 section, is equal to the square on half the line. 16. From two given...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1882
...; find the ratio of the sides of one of the given rectangles. (20.) Section B. — Geometry. 27. If a straight line be divided into two equal parts and also into two unequal parts, show that the rectangle contained by the unequal parts, together with the square on the line between...
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Class lessons on Euclid

Marianne Nops - 1882
...manifest that |gnuns about the diameter of a square are also squares. PROPOSITION V., THEOREM 5. If a straight line be divided into two equal parts and also into two imegual parts, the rectangle contained by the uieequal parts, together with the square on the line...
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The Competitor, Volumer 1-2

1882
...nnequal parts, show that the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line. 6. Show that if a straight line be divided into any two parts, the sum of the squares...
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Moffatt's pupil teachers' course (ed. by T. Page). Candidates, 2nd ..., Volum 4

Moffatt and Paige - 1883
...the parallelograms about the diameter of a square are likewise squares. Proposition V. Theorem. If a straight line be divided into two equal parts and...contained by the unequal parts, together with the square on the line between the points oj section, is equal to the square on half the line. Let the straight...
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The Practical Teacher; with which is Incorporated the Practical ..., Volum 2

Joseph Hughes - 1883
...including (if possible) Q. 2. [All generally understood abbreviations for mordí maybe usedj I. If a straight line be divided into two equal parts, and...contained by the unequal parts, together with the square on the line between the pouils of section, is equal to the square on half the line. Prop. V., Bk. II....
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