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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. "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 36
by Robert Potts - 1876 - 403 pages
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...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, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J. Hose, Book 1

Euclides - Geometry - 1853 - 334 pages
...the triangle EBC. Which was to be proved. PEOP. XLII. PEOB. To describe a parallelogram that shall be equal to a given 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 Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 176 pages
...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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The popular educator, Volumes 5-6; Volume 8

Popular educator - 1854 - 940 pages
...eqttttltoa- given triangle, and having wi'i of its angles equal to a giren rectilineal angle. In fig. 42, Let ABC be the given triangle, and D the given rectilineal angle. It ie required to describe a parallelogram equal to the given triangle ABC, and having one of its angles...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Euclid's Elements - 1855 - 340 pages
...ABCD is also double of the triangle ,BC PROP. XLII. PROB. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles...parallelogram that shall be equal to the given triangle ABC, arid have one of its angles equal to D. Bisect (10. 1.) BC in E, join AE, and at the point E in the...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...of the square of the line between the points of section. 11. Describe a parallelogram that shall be equal to a given triangle, and have one 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 pages
...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...and having 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 to apply to (that is, to describe upon) the straight line AB, a parallelogram equal to the triangle C,...
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Manual of Method for the use of teachers in elementary schools

W F. Richards - Elementary school teaching - 1856 - 198 pages
...the same parallels are equal. 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 square of the whole line shall...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 pages
...between tbe same parallels, which has the least perimeter? 5. To describe a parallelogram that shall be equal to a 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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