 | Elias Loomis - 1849 - 252 σελίδες
...will be the perpendicular required. PHOBLEM IV. At a given point in a straight line, to make an angle equal to a given angle. . Let AB be the given straight line, A the given point in it, and C the given angle ; it is required to make an angle at the point A in... | |
 | Great Britain. Committee on Education - 1850 - 790 σελίδες
...two sides terminated at the other extremity. 2. To a given straight line to apply a ]>aral!t'logram 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 bisected and produced to any point, the rectangle... | |
 | 1851 - 382 σελίδες
...the line on 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 whole... | |
 | 1852 - 316 σελίδες
...greater side of every 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 σελίδες
...complement KD. Wherefore the complements, &c. QED PROP. 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, and C the given triangle, and D the given rectilineal... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...Wherefore the 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... | |
 | Euclides - 1853 - 334 σελίδες
...double of 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 that shall... | |
 | Euclides - 1853 - 146 σελίδες
...complement KD. Wherefore, the 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... | |
 | Euclides - 1853 - 176 σελίδες
...Therefore, 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... | |
 | Thomas Lund - 1854 - 520 σελίδες
...PROP. LII. Upon a given straight line* to construct a segment of a circle which shall contain an angle equal to a given angle. Let AB be the given straight line; and through the point A draw the straight line AC making with AB the angle BAC equal to the given angle... | |
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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. 
