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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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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 sider
...Proposition itself (as in 5). PROP. V. THEOREM. Ij a straight line lie divided into two equal parts, and oho 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. Let AB be a straight...
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(Report).

Elizabethan club - 1880
...equal to the squares on PB and PD. 5. If a straight line be divided into two equal parts, and also 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. If O be a point...
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Report of Her Majesty's Civil Service Commissioners, Together with ..., Volum 24

Great Britain. Civil Service Commission - 1880
...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. If О be any point on the base BC (or that base produced) of the isosceles triangle...
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Transactions, Volum 13

Institution of Surveyors (Great Britain).
...subtending the right angle is equal to the squares upon the sides which contain the right angle. 7. If a straight line be divided into two equal parts and...section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Transactions, Volum 13

Royal Institution of Chartered Surveyors - 1881
...subtending the right angle is equal to the squares upon the sides which contain the right angle. 7. If a straight line be divided into two equal parts and...section, is equal to the square of half the line. 8. To divide a given straight line into two parts, so that the rectangle contained by the whole and...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 sider
...angle AOB in C ; show that the squares on PM, CM are together equal to the square on the radius. 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. What is the corresponding...
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The Cambridge Examiner, Volum 4

1884
...same base and between the same parallels, the parallelogram shall be double of the triangle. 13. 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. 14. If a point...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...AC.CB PROP. V. THEOREM. lj a straight line be divided into two equal parts, and alto into two tmeaua. parts • the rectangle contained by the unequal parts,...with the square of the line between the points of tectim (or division), is equal to the tquare of half the line. Let the straight line AB be dmded into...
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The Oxford examiner, ed. by M.W.I. Shilleto, Utgaver 1-5

Mary W I. Shilleto - 1882
...than the third side. The difference of any two sides of a triangle is less than the third side. 3. 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. Show that (a+x)...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...angle is equal to the squares described on the sides which contain the right angle. SECTION IV. 1. 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. Construct a rectangle...
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