| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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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