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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 - Page 58
by Great Britain. Admiralty - 1846
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...and angles of a parallelogram are equal to one another and the diagonal bisects the parallelogram. 4. 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. 5. To construct...
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Calendar, for the Year ...

1894 - 278 pages
...the triangle of least perimeter that can be inscribed in a given triangle is the pedal triangle. 2. If a straight line be divided into two equal parts...two unequal parts, the rectangle contained by the two unequal parts, together with the square on the line between the points of section, is equal to...
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The Manitoba School Question

Frederick Coate Wade - Church and state - 1895 - 168 pages
...describe a parallelogram equal to a given triangle, and having an angle equal to a given angle. 4. 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. Construct a rectangle...
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Examinations Papers

1896 - 774 pages
...sides of a triangle are joined it is divided into four equal triangles. 4. Prove that if a line is divided into two equal parts and also into two unequal...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. Hence show that...
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Annual Report of the Commissioners ..., Volume 64

1898 - 844 pages
...of a quadrilateral bisect each other it is a parallelogram. 3. If a line be divided into two equal and also into two unequal parts the rectangle contained by the unequal [Ľarts is less than the square of half the Hue by the square of the line between the points of section....
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Sessional Papers, Volume 32, Issue 10

Canada - 1899 - 1072 pages
...another. 2. The three interior angles of every triangle are together equal to two right 16 angles. 3. If a straight line be divided into two equal parts and also into two 16 unequal parts, the rectangle contained by the two unequal parts, together with the square on the...
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Examination Papers

University of Toronto - 1900 - 1160 pages
...4SUPPLEMENTAL EXAMINATIONS : SEPTEMBER, 1900. JUNIOR MATRICULATION. GEOMETRY. Examiner: HJ DAWSON, BA 1. 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. (II. 5.) Divide...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 568 pages
...equally and unequally, show that the rectangle contained by the unequal parts together with the square ou the line between the points of section is equal to the square on half the line. 11. If from a point on the circumference of a circle a tangent and a chord be drawn...
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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 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. A (X. p £ QB H I. 46. I. 31. I. 43. C ED Let the straight line AB be divided equally...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 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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