| 1867
...two of its opposite sides parallel. 2. To a given straight line apply a parallelogram, which shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal** mi 'Jr. Describe a rhombus equal to a given quadrilateral figure. 3. If the square described upon one... | |
| 1851
...which they stand, ...... 2. To a given straight line to apply a parallelo— 18 1 gram, which shall **be equal to a given triangle, and have one of its angles equal to a given** angle, 8. If a straight line be divided into any two parts, — 12 C the rectangles contained by the... | |
| 1852
...triangle is opposite the greater angle. 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** * Riven rectilineal angle. SECTION II. 1. If a straight line be divided into any two parts, the square... | |
| Euclides - 1852
...EEC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROS. To describe a parallelogram that shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let** ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
| Education - 1852
...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,... | |
| Euclides - Geometry - 1853 - 147 pages
...if a parallelogram, <fee. QED PROPOSITION XLII. — PROBLEM. To describe a parallelogram that shall **be equal to a given triangle, and have one of 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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853
...Therefore, if a parallelogram, etc. QED PROPOSITION XLIL PROB. To describe a parallelogram that shall **be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. Let** ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
| Euclides - 1853
...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
...was to be proved. PEOP. XLIV. PEOB. 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** angle. Let AB be the given straight line, c the given triangle, and D the given angle. It is required... | |
| Euclid - Geometry - 1853 - 136 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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