 | John Playfair - 1832 - 358 σελίδες
...triangle EBC. Therefore, if a parallelogram, &c. QED PROP. XLII. PROB. To describe a parallelogram that shall be equal to a given triangle, and have one of its angles equal f angle. ' to a given rectilineal Let ABC be the given triangle, and D the given rectilineal angle.... | |
 | Euclides - 1834 - 518 σελίδες
...* parts ; wherefore ABCD is also double of the triangle EBC. Therefore, if a parallelogram, &c. QED 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... | |
 | Euclid - 1835 - 540 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...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 angle. It... | |
 | John Playfair - 1835 - 336 σελίδες
...to the given straight line BC. PROP. XIV. PROB. To describe a parallelogram that shall be equivalent 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 ia required to describe a parallelogram... | |
 | 1836 - 366 σελίδες
...centre from their common diameter is equal to twice its radius. 39. Define a parallelogram. Describe one which shall be equal to a given triangle, and have...of its angles equal to a given rectilineal angle. 40. Describe a square about a given circle. SECTION II. QUESTIONS IN ARITHMETIC AND ALGEBRA, NOT INCLUDING... | |
 | Andrew Bell - 1837 - 290 σελίδες
...BK is equal to the remaining complement KD. PROPOSITION XLIV. PROBLEM. To a given straight line to apply a parallelogram, which shall be equal to a given...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 angle. It... | |
 | Euclid, James Thomson - 1837 - 410 σελίδες
...equal. f Wherefore, if through any point, &c. PROP. XLIV. PROB. To a given straight line to apply ta 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... | |
 | Euclides - 1837 - 112 σελίδες
...showing that C3m BD = 2 A ABC, which = 2 A EBC. PROPOSITION Problem. To describe a parallelogram, that shall be equal to a given triangle, and have one of its angles to a given rectilineal XLII. Steps of the Demonstration. 1. Prove that whole A ABC = 2 A ACE, 2. that... | |
 | Euclides - 1838 - 264 σελίδες
...complement KD. Wherefore the complements, &c. a. i:. D. PROP. XLIV. PROS. To a given finite straight line to apply a parallelogram which shall be equal to a given...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... | |
 | Great Britain. Committee on Education - 1853 - 1218 σελίδες
...The greater side of every triangle is opposite to the greater angle. 3. To a given straight line to apply a parallelogram, which shall be equal to a given...of its angles equal to a given rectilineal angle. Sec/ion 2. 1. If a straight line be divided into any two parts, the square of the whole line is equal... | |
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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. 
