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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 ... - Side 58
av Euclides - 1841 - 351 sider
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900
...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.-IV., Bok 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 304 sider
...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 - 1901
...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 and Solutions, from the "Educational Times ..., Volum 3

W. J. C. Miller - 1901
...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

University of Sydney - 1902
...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, Bok 1

Euclid - 1904 - 456 sider
...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, Volum 1

Trinity College (Dublin, Ireland) - 1909
...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 Alberta, Volum 5

Alberta. Department of Education - 1911
...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
...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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Parliamentary Papers, Volum 19

Great Britain. Parliament. House of Commons - 1861
...angles ; and the three interior angles of every triangle are together equal to two right angles. 11. If a straight line be divided into two equal, and also...square of the line between the points of section. 12. Describe a square that shall be equal to a given rectilineal figure. 13. If any point be taken...
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