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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 Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 58
by Euclides - 1841 - 351 pages
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Calendar, for the Year ...

1899 - 166 pages
...(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 also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 580 pages
...parallelogram. Show that their vertices remote from the parallelogram are the vertices of a square. 4. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line, and of the square on the...
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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Book 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...sum of the squares on the two unequal parts is twice the sum of the squares on half the line and on the line between the points of section. Let the straight line AB be divided equally at P, and unequally at Q. Then shall the sum of the sqq. on AQ, QB be twice the sum of the...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...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 also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the...
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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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Calendar of the University of Sydney

University of Sydney - 1902 - 640 pages
...that one of the two complements, formed by drawing parallels to the sides, 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...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...sum of the squares on the two unequal parts is twice the sum of the squares on half the line and on the line between the points of section. Let the straight line AB be divided equally at P, and unequally at Q. Then shall the sum of the sqq. on AQ, QB be twice the sum of the...
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1909 - 546 pages
...straight line be divided into two equal parts, and also into two unequal parts, the squares of the unequal parts are together double of the square of...square of the line between the points of section. 5. Prove () that a line cannot cut a circle in more than two points ; (b) that a circle cannot cut...
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Annual Report of the Department of Education of the Province of ..., Volume 5

Alberta. Department of Education - Education - 1911 - 226 pages
...of the triangle, bisects the other side 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...
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Report of the examination held (Dec. 1859)-73

Cowley Oxon, dioc. school - 1860 - 318 pages
...the right angle is equal to the squares described upon the sides which contain the right angle. 6. If a straight line be divided into two equal and also...square of the line between the points of section. 7. To describe a square that shall be equal to a given rectilineal figure. 8. In the base of a triangle...
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