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" 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 line between the points of section. Let the straight line... "
The Elements of Euclid for the Use of Schools and Colleges: Comprising the ... - Side 60
av Euclid, Isaac Todhunter - 1883 - 400 sider
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Euclid's Elements of Geometry, Bøker 1-6;Bok 11

Henry Martyn Taylor - 1895 - 708 sider
...Deduce a proof of n. 9 from the result of n. 5. 3. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal parts are equal to twice the rectangle contained by the two unequal parts together with four times the square...
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Calendar, for the Year ...

1899 - 166 sider
...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...square on the line between the points of section. Given the sum of two straight lines find when the sum of the squares on them is least. 2. The opposite...
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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
...the sum of the squares on the two unequal park 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 sliall the sum of the sqq. on AQ, QB be twice the sum of the...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900 - 558 sider
...on the line between the points of section. 5. If a straight line be divided into two equal and also into two 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 - 1901 - 368 sider
...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...square on the line between the points of section. • Express the proposition as an algebraical formula. 5- Draw a straight line from a given point,...
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A Text-book of Euclid's Elements for the Use of Schools, Bok 1

Euclid - 1904 - 488 sider
...the 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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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897 - 710 sider
...according to the variation of angles and sides ? 2. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal...square on the line between the points of section. 3. The straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls...
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Calendar

University of Cambridge - 1870 - 782 sider
...point /' : prove that AE is equal to EF. 2. If a straight line be divided into two equal, and alao into two unequal parts, the squares on the two unequal...square on the line between the points of section. The diagonals of a quadrilateral meet in £, and F is the middle point of the straight line joining...
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Examination,Midsummer,1879

Education Department - 1879 - 1118 sider
...rectangle contained by those parts. SECTION IV. 1. If a straight line be divided into two equal and also into two unequal parts, the squares on the two unequal...square on the line between the points of section. 2. The angle in that segment of a circle which is less than a semicircle is greater than a right angle....
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 sider
...those to which the equal sides are opposite. 3. If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal...square on the line between the points of section. 4. Equal straight lines in a circle are equally distant from the centre : and those which are equally...
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