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" To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. "
Elements of geometry, based on Euclid, books i-iii - Page 71
by Edward Atkins - 1876 - 119 pages
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 558 pages
...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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Examination Papers

University of Toronto - 1901 - 1190 pages
...parallelogram ADBE be 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 ..., Volume 67

1901 - 488 pages
...together with twice the square on the line drawn from the vertex to the middle point of the basj. 10. Divide a given straight line into two parts so that the rectangle contained by them may be equal to the square on a given straight line which is less than half the line to be divided....
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...Show that this includes some of Euclid's propositions, in Book II., as particular cases. 5. Show how to divide a given straight line into two parts, so that the square on one part may be equal to the rectangle contained by the whole line and the other part. 6....
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The School World, Volume 3

Education - 1901 - 548 pages
...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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Annual Report of the Commissioners ..., Volume 68

1902 - 482 pages
...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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Calendar, for the Year ...

1902 - 170 pages
...together with four times the square on the line joining the middle points of the diagonals. 5. *Shew how to divide a given straight line into two parts, so that the square on one part shall be equal to twice the rectangle contained by the whole and the other part....
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Manual

1903 - 898 pages
...this circle and find by measurement the ratio of PA to PB. Show all details of construction. Or, 2A. Divide a given straight line into two parts so that the rectangle contained bv the straight line and one part shall be equal to the square on the other part. •1. Prove that...
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Calendar, for the Year ...

1904 - 226 pages
...down in every possible order : how many of the numbers so formed will be greater than 23,000? 7. (a) Divide a given 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. (6) If an angle of a triangle...
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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
...its parallel sides. PROBLEMS. 37. Construct a rectangle equal to the difference of two squares. 38. Divide a given straight line into two parts so that the rectangle contained by them may be equal to the square described on a given straight line which is less than half the straight...
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