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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 English Journal of Education - Page 272
1851
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Mathematical Papers for Admission Into the Royal Military Academy and the ...

Royal Military Academy, Woolwich - 1909 - 456 pages
...one angle and the lengths of the perpendiculars from the other two angles on the opposite sides. 3. If a straight line be divided into two equal parts, and also into two unequal parts, prove that the rectangle contained by the two unequal parts, together with the square on the line between...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1911 - 250 pages
...square on EG is equal to twice the square on AB together with eight times the triangle ABC. (10) 7. If a straight line be divided into two equal parts...parts, the rectangle contained by the unequal parts and the square on the line between the points of section are together equal to the square on half the...
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Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - 1911 - 226 pages
...of the triangle and is equal to half the base. 8 6. (a) 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. 5— II. 2 (b)...
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 pages
...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 adjacent sides of a rectangle are together equal to a given straight...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1917 - 184 pages
...into two unequal parts, then the rectangle contained hy 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 point S moves from one end of a line PQ. to the other end. Where is S when the...
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Education in Scotland

Great Britain. Scottish Education Dept - 1896 - 642 pages
...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 - 960 pages
...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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Developing Thinking in Algebra

John Mason, Alan Graham, Sue Johnston-Wilder - 2005 - 342 pages
...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. 1 t Task 1 5.3.1 b Diagramming Text and Texting Diagrams For the two diagrams, produce...
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