 | 1867 - 336 pàgines
...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 - 382 pàgines
...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 - 316 pàgines
...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 - 152 pàgines
...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... | |
 | 1852 - 512 pàgines
...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 - 1853 - 176 pàgines
...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 - 1853 - 400 pàgines
...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 - 146 pàgines
...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 - 1853 - 334 pàgines
...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 - 1853 - 176 pàgines
...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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To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle. 
