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" IF a straight line be divided into two equal, and also into two unequal parts ; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section. "
The first and second books of Euclid explained to beginners, by C.P. Mason - Page 152
by Euclid, Charles Peter Mason - 1872
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...right angle, the two triangles are equivalent. 3. If a straight line be divided into two equal and into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and the square on the line between the points of section. 4....
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 486 pages
...rectangle contained by the line and the line made up of the half and the part produced. PROPOSITION 9. If a straight line be divided into two equal, and also into two unequal parts, the sum of the squares on the two unequal parts is double of the sum of the squares on half the line and...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...contained by the line and the line made up of the half and the part produced. EH F NP M L PROPOSITION 9. If a straight line be divided into two equal, and also into two unequal parts, the sum of the squares on the two unequal parts is double of the sum of the squares on half the line and...
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Annual Report of the Commissioners ..., Volume 64

1898 - 830 pages
...to two given points the joining lines will made equal angles with the given line (4 marks). 7. If a line be divided into two equal and also into two unequal parts, prove that the rectangle contained by the unequal parte, together with the square of the line between...
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Calendar, for the Year ...

1899 - 166 pages
...MA (A Pass in this Paper will not count towards the keeplng of a second or third year's terms.) 1. If a straight line be divided into two equal, and...the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section....
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Annual Report of the Commissioners ..., Volume 65

1899 - 972 pages
...sum is less than the sum of the remainin" sides of the triangle, but they contain a greater angle. 3. If a straight line be divided into two equal and also into two unequal parts, the squares of the unequal parts are together double of the square of half the line and of the square of the lino...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 558 pages
...double of the square on half the line, and of the square on the line between the points of section. 5. If a straight line be divided into two equal and also...unequal parts, the squares on the two unequal parts are equal to twice the rectangle contained by the unequal parts together with four times the square on...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...parallelogram equal to a given rectilineal figure, and having an angle equal to a given rectilineal angle. 4. If a straight line be divided into two equal, and...the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section....
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Mathematical Questions with Their Solutions, from the "Educational Times"...

W. J. C. Miller, D. Biddle - Mathematics - 1901 - 128 pages
...geometrically, in the following form, which is analogous to that of Euclid II. 5. If a circular arc be divided into two equal and also into two unequal parts, the rectangle contained by the chords of the two unequal arcs, together with the square on the chord of...
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