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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, shall be equal to the square of the other part. "
A companion to Euclid: being a help to the understanding and remembering of ... - Página 45
por Euclides - 1837 - 88 páginas
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The School World, Volumen3

1901
...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 ..., Volumen68

1902
...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, His Life and System

Thomas Smith (D.D.) - 1902 - 227 páginas
...till Euclid gave it them, but the truths demonstrated in the propositions. tained by the whole line and one of the parts shall be equal to the square of the other part. As the very conception of a rectangle and a square involves a reference to parallel...
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Calendar, for the Year ...

1902
...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
...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
...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, Libro 1

Euclid - 1904 - 456 páginas
...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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Annual Report of the Commissioners ..., Volumen73

1907
...with the square of the line between the poiuts of section, is equal to the square of half the line. 4. To divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts, may be equal to the square of the other. SECTION B. 5. Jf one angle of a triangle be equal to the sum...
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Report of the Commissioner of Education Made to the Secretary of ..., Volumen1

United States. Bureau of Education - 1907
...to the squares on the two parts, together with twice the rectangle contained by (lie two parts. 8. Divide a given straight line into two parts, so that...rectangle contained by the whole and one of the parts may be equal to the square on the other part. The following is a list of the names of the Rhodes scholars...
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Annual Report of the Association of Ontario Land Surveyors, Tema 22

Association of Ontario Land Surveyors - 1907
...two right angles. 4. Inscribe an equilateral triangle in a given circle; trisect a right angle. 5. To divide a given straight line into two parts so that the rectangle contained under the whole and one of the parts shall be equal to the square on the other part. 6. The sum of...
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