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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 Geometry, Symbolically Arranged - Pagina 58
di Great Britain. Admiralty - 1846
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 pagine
...likewise squares. PROPOSITION 5. THEOREM. ff a straight line be divided into two equal parts and -dso into two unequal parts, the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equalto the square on halftheline. Let the straight line...
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Euclid for beginners, books i. and ii., with simple exercises by F.B. Harvey

Euclid, F. B. Harvey - 1880 - 119 pagine
...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
...a rectangle, prove that the squares on PA and PC are together 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...
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Report of Her Majesty's Civil Service Commissioners, Together ..., Volume 24

...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, Volume 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...points of 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...
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Transactions, Volume 13

...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...points of 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...
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Moffatt's reprint of pupil teachers' questions, arranged by ed. of 'Papers ...

Moffatt and Paige - 1881 - 1880 pagine
...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,...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, Volume 4

1884
...the 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,...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 Practical Teacher, Volume 1,Edizione 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,...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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