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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, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose - Page 66
by Euclides - 1853
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Transactions, Volume 13

Royal Institution of Chartered Surveyors - Agriculture - 1881 - 532 pages
...right angle. 7. 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. 8. To divide a given straight...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...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, together 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...
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Transactions, Volume 13

Institution of Surveyors (Great Britain). - Surveying - 514 pages
...right angle. 7. 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. 8. To divide a given straight...
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The papers set at the professional preliminary examination

College of preceptors - 1882 - 528 pages
...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 points of section, shall be equal to the square on half the line. 5. If a straight...
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The Civil service year book and official calendar

1884 - 266 pages
...right angles. 3. 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. 4. A segment of a circle...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...rectilineal angle. 4. If a straight line is divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the part between the points of section, is equal to the square of half the line. Show that the greatest right-angled...
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Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...remote angles. 4. 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. 5. If a straight line...
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Calendar of the University of Sydney

University of Sydney - 1902 - 640 pages
...shall be a rhombus. 4. 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 of the line between the points of section is equal to the square on half the line. 5. Shew how to divide a...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...bisected in a given point. 4. Prove that, if a straight line is divided into two equal parts and also into two unequal parts, then 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. Show that, if two...
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Special Reports on Educational Subjects, Volumes 26-27

Great Britain. Board of Education - Education - 1912 - 1044 pages
...bisected in a given point. 4. Prove that, if a straight line is divided into two equal parts and also into two unequal parts, then 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. Show that, if two...
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