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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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## Annual Report of the Commissioners ..., Volume 68

1902
...a triangle be produced, the exterior angle is greater than either of the interior remote angles. 4. If a straight line be divided into two equal parts,...points of section, is equal to the square of half the line. 5. If a straight line be divided into any two parts, the squares of the whole line and of one...
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## Calendar

University of Sydney - 1902
...drawing parallels to the sides, shall be a rhombus. 4. If a straight line be divided into two equal and also into two unequal parts, the rectangle contained...between the points of section is equal to the square on half the line. 5. Shew how to divide a given straight line internally or externally so that the...
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## Collectanea Hermetica, Volume 9

1902
...between the parts. All even numbers also (except the dyad — two — which is simply two unities) may be divided into two equal parts, and also into two unequal parts, yet so that in neither division will either parity be mingled with imparity, nor imparity with parity....
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## Elementary Geometry: Plane

James McMahon - 1903 - 358 pagine
...times their rectangle. Rectangles of equal parts and of unequal parts. 49. THEOREM 15. If a line is divided into two equal parts, and also into two unequal parts, the rectangle of the unequal parts, together with the square on the intermediate part, is equivalent to the square...
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## Science Examinations ... Reports, Etc

1904
...unequal 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. A straight line is divided into two parts; show that the rectangle contained by the...
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## A Text-book of Euclid's Elements for the Use of Schools, Libro 1

Euclid - 1904 - 456 pagine
...equally and also unequally, 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. I. 46. I. 31. I. 43. Let the straight line AB be divided equally at P, and unequally...
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## School Science and Mathematics, Volume 20

1920
...theorem you have that the rectangle upon the two unequal segments, which is 21 by construction, plus the square of the line between the points of section, is equal to 25, the square on half the line. This gives 25 — 21 or 4, as the square of that length, 2 as the...
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## Annual Report of the Commissioners ..., Volume 73

1907
...line; and (2) if it make the interior angles upon the same side together equal to two right angles. 3. If a straight line be divided into two equal parts,...unequal parts ; the rectangle contained by the unequal (Kirts together with the square of the line between the poiuts of section, is equal to the square of...
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## Education in Scotland

...given straight line, and that their distances from CD are equul to another given straight line. 7. If a straight line be divided into two equal parts,...two unequal parts, the rectangle contained by the two unequal parts shall be equal to the difference of the squares on half the line, and on the line...
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## The Irish Law Times and Solicitors' Journal, Volume 37

1903
...the same base and between the same parallels, the parallelogram is double of the triangle. 5. If a line be divided into two equal parts, and also into...contained by the unequal parts, together with the square on the part between the points of section, is equal to the square on half the line. 4. On a given right...
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