| Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 páginas
...point, and that these two are equal. Pnop. XIV.— PROBLEM. (Euc. III. 33.) Upon a given strait/lit line to describe a segment of a circle, containing an angle equal to a given angle. Let AB be the given line; it is required to describe upon it a segment of a circle containing... | |
| Euclides - 1874 - 342 páginas
...alternate segment of the circle (I. Ax. 2). Wherefore, if a straight line, &c. QED PROPOSITION 33. — Problem. Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle. Let AB be the given straight line,... | |
| alexander thom - 1875 - 758 páginas
...straight lines is equal to the difference between the squares on them. 2. On a given straight line describe a segment of a circle containing an angle equal to a given rectilineal angle. Being given the base and the vertical angle of a triangle, show that the triangle will be greatest... | |
| Robert Potts - 1876 - 446 páginas
...alternate segment of the circle. (I. ax. 2. Wherefore, if a straight line, &c. QED PROPOSITION XXXin. PROBLEM. Upon a given straight line to describe a segment of a circle, which that! contain an angle equal to a given rectilineal angle. Let AB be the given straight line,... | |
| Edward Atkins - 1876 - 130 páginas
...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 angle. It is required to apply to the straight line AB a parallelogram... | |
| Association for the improvement of geometrical teaching - 1876 - 66 páginas
...PROB. 8. About a given circle to circumscribe a triangle equiangular to a given triangle. PROB. 9. On a given straight line to describe a segment of a circle containing a given angle. PROB. io. From a given circle to cut off a segment containing THE CIRCLE IN RELATION... | |
| Edward Atkins - 1877 - 72 páginas
...apply a parallelogram, which slaill be equal to a given triangle, and have one of its angles tqual to a given rectilineal angle. Let AB be the given straight line, C the given triangle, and D the given angle. It is required to apply to the straight line AB a parallelogram,... | |
| Elias Loomis - 1877 - 458 páginas
...angles of a triangle all meet in the same point, viz., the centre of the inscribed circle. PROBLEM XVI. Upon a given straight line, to describe a segment of a circle which shall contain a given angle. Let AB be the given straight line, upon which it is required to... | |
| Edward Harri Mathews - 1879 - 94 páginas
...segments is equal to the square described upon the diameter. Section III. 1. On a given straight line describe a segment of a circle, containing an angle equal to a given rectilineal angle. Construct a triangle whose base shall be equal to a given straight line, and in which the vertical... | |
| Moffatt and Paige - 1879 - 474 páginas
...line to apply a parallelogram, which shall be equal to a given triangle, and have one of its sides 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 is required to apply to the straight line... | |
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