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" To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. "
A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ... - Página 69
por Euclides - 1874
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The English Journal of Education, Volumen6

1852 - 512 páginas
...many right angles as the figure has sides. 3. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. SECTION II. — 1. If a straight line be divided into any two parts, the squares of the whole line,...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 páginas
...is also double of the triangle eb С. Therefore, if a parallelogram, <fee. QED PROPOSITION XLII. — PROBLEM. To describe a parallelogram that shall be...its angles equal to a given rectilineal angle. LET abС be the given triangle, and d the given rectilineal angle. It is required to describe a parallelogram...
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Libro 1

Euclides - 1853 - 334 páginas
...therefore the parallelogram ABCD is double of the triangle EBC. Which was to be proved. PEOP. XLII. PEOB. To describe a parallelogram that shall be equal to...triangle, and have one of its angles equal to a given angle. Let ABC be the given triangle, and D the given angle. It is required to describe a parallelogram...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 páginas
...complements, etc. (i. ED PROPOSITION XLIV. PROB. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of...its angles equal to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given rectilineal angle. It is required...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 páginas
...complements, &c. QED PROP. XLIV. PEOBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal Let AB be the given straight line, and C the given triangle, and D the given rectilineal angle. It...
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The Elements of Euclid: With Many Additional Propositions ..., Parte1

Euclid - 1853 - 176 páginas
...straight line (AB) to construct a parallelogram which shall be equal in area to a given triangle (C), and have one of its angles equal to a given rectilineal angle (D). SOLUTION. Produce AB to E, and upon BE construct a parallelogram BEFG equalin area to the triangle...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 páginas
...double of the square of half the line, and of the square of the line between the points of section. 11. Describe a parallelogram that shall be equal to a...of its angles equal to a given rectilineal angle. 13. Describe a square that shall be equal to a given rectilineal figure. 14. If a point be taken within...
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National Society's Monthly Paper

1855 - 264 páginas
...sides equal to the the base of the other. 3. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. of the whole line is equal between the points of section. 3. To describe a square that shall be equal...
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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 páginas
...shall be greater than the base of the other. 3. To a given straight line to apply a parallelogram which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Section 2. 1. If a straight line be divided into any two parts, the square of the whole line is equal...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 páginas
...can be described on the same base and between tbe same parallels, which has the least perimeter? 5. To describe a parallelogram that shall be equal to...given triangle, and have one of its angles equal to a right angle. 6. If a straight line be divided into any two parts, the rectangles contained by the whole...
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