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" AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. "
The Educational Record of the Province of Quebec: The Medium Through which ... - Side 186
1891
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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Bog 1

Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...=2AQ . QB + 4 PB2 n. 4, Cor. 2. =2(PQ2-PB2) + 4PBa n. 6. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. K Let AB be the given straight line. It is required...
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Calendar of the University of Sydney

University of Sydney - 1900 - 646 sider
...parallelogram will be formed whose area is half that of the given quadrilateral. 3. Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. 4. In equal circles the arcs which subtend equal...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900 - 580 sider
...rectangle contained by BA, AE is equal to the rectangle contained by CA, AD. 4. Define a rectangle. Divide a straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal to the square on the other part. Prove that, when a straight...
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Calendar, for the Year ...

1900 - 164 sider
...the series is a GP Sum to ten terms the series -i._,.— + , 2 2* 2* 2* 6. Shew how to divide a given straight line into two parts so that the rectangle contained by the whole line and one of the parts shall be equal (i.) to the square, (ii.) to double of the square on the other...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 sider
...given base, and having a given area, that which has the least perimeter it isosceles. 3. Divide a given straight line into two parts so that the rectangle contained by the whole and one part may be equal to the square on the other part. If the line be divided so that nine times the rectangle...
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The School World, Bind 3

1901 - 548 sider
...a given circleHow many such triangles can be drawn as a rule? When is the problem impossible? (10) Divide a straight line into two parts so that the rectangle contained by the two parts may be equal to a given square. Algebra. (Pass Paper) (1) (i.) Simplify 2(a-3¿)- [2a-3J4e+(2¿...
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Examination Papers

University of Toronto - 1901 - 1192 sider
...completed so that E is on the side of AB remote from D, then CE is bisected by AB.\ 3. To divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the |>art8 may be equal to the square on the other part. (II. 11.)If ABC be any triangle,...
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Annual Report of the Commissioners ..., Bind 68

1902 - 482 sider
...solutions will be accepted. Mr. PKDLOW, Senior Inspector. Mr. HUGHES, District Inspector. i SECTION A. 1. Divide a straight line into two parts, so that the rectangle contained by the whole line and one of the parts may be equal to the square on the other part. 2. If from any point without...
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Euclid, Bog 1

Euclid, Rupert Deakin - 1903 - 212 sider
...square equal in area to a rhombus whose side is three inches long and one of whose angles is 150°. 47. Divide a straight line into two parts so that the rectangle contained by the two parts may be equal to a given square. Is this always possible ? 48. Describe a rectangle equal...
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A Text-book of Euclid's Elements for the Use of Schools, Bog 1

Euclid - 1904 - 488 sider
...7. = 2AQ . QB + 4PB2 n. 4, Cor. 2. 150 EUCLID-S ELEMENTS. PROPOSITION 11. PROBLEM. To divide a given straight line into two parts, so that the rectangle contained by the whole and one part may be equal to the square on the other part. Let AB be the given straight line. It is required...
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