 | Euclid - 1826 - 234 σελίδες
...given triangle, and having an angle equal to a given rectilineal angle, Let AB be the given right line, c the given triangle, and D the given rectilineal angle. It is required to the right Tine AB to apply a parallelogram equal to the given triangle с, and having an angle equal... | |
 | Robert Simson - 1827 - 546 σελίδες
...1. t Conslr. * 38. 1. •41.1. t6 Ax. t Constr. PROP. XLII. PROB. To descr1be 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 a given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | Adrien Marie Legendre - 1828 - 346 σελίδες
...; that is to say, a segment such, that all the angles inscribed in it, shall be equal to the given angle. Let AB be the given straight line, and C the given angle. IMC, GE Produce AB towards D ; at the point B, make the angle DBE=C ; draw BO perpendicular... | |
 | Euclid, Dionysius Lardner - 1828 - 542 σελίδες
...each has an angle in common with it (152). PROPOSITION XLIV. PROBLEM. (198) To a given right line (AB) to apply a parallelogram which shall be equal to a given triangle (C), and have one of its angles equal to a given angle (D). Solution. Construct the parallelogram BEFG... | |
 | John Playfair - 1829 - 210 σελίδες
...done. PROPOSITION XXIII. PROBLEM. At a given point in a given straight line to make a rectilineal angle equal to a given rectilineal angle. Let AB be the given straight line, and A the given point in it, and DCE the given rectilineal angle; it is required to make an angle at the... | |
 | John Playfair - 1832 - 356 σελίδες
...complement BK is equal to the remaining complement KD. Wherefore, the complements, &c. QED PROP. XLIV. PROB. To a given straight line to apply a parallelogram, which shall be equal to u given triangle, and have one of its angles equal to u given rectilineal angle. Let AB be the given... | |
 | 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
...double the triangle EBC. 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 to a given rectilineal angle. Let ABC be the given triangle, and D the given rectilineal angle. It is required to describe a parallelogram... | |
 | John Playfair - 1835 - 336 σελίδες
...construction will apply to the problem : to make a triangle equivalent to a given rectangle. PROP. XV. PROB. To a given straight line to apply a parallelogram, which shall be equivalent to a given triangle, and have one of its angles equal to a given rectilineal angle. Let... | |
 | 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... | |
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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. 
