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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: Viz. the First Six Books, Together with the Eleventh ... - Side 53
av Euclid, Robert Simson - 1821 - 516 sider
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An Examination Manual in Plane Geometry

George Albert Wentworth, George Anthony Hill - 1894 - 150 sider
...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 and...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 sider
...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 and...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 - 1895 - 168 sider
...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, and...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 sider
...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 ..., Volum 64

1898 - 830 sider
...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 [»arts 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, Volum 32,Utgave 10

1899 - 1074 sider
...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 - 1164 sider
...4SUPPLEMENTAL EXAMINATIONS : SEPTEMBER, 1900. JUNIOR MATRICULATION. GEOMETRY. Examiner: HJ DAWSON, BA 1. If a straight line be divided into two equal parts and...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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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bok 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...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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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 566 sider
...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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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 sider
...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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