 | Euclides - 1860 - 288 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Given a triangle ABC, and its side BC produced to D, to prove that the exterior angle... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC lie a triangle, and let the side BCbe produced to D. Then the exterior angle... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...(TV, CI) ; hence, the exterior angle is equal to the sum of the two interior and opposite angles. Cor. The exterior angle is greater than either of the interior and opposite angles. OF THE SIDES OF TRIANGLES. THEOREM VH. Either side of any triangle is less than the sum of the other... | |
 | Young Men's Christian Associations (London, England) - Christianity - 1860 - 490 pages
...problems, and thus advanced gradually as far as the 32nd proposition of Euclid, which runs thus :—" If one side of a triangle be produced, the exterior angle is equal to the sum of the two angles which subtend it ; and the three interior angles of every triangle... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...10s for 4 months at 4 per cent, per annum. 10. Extract the square root of '191810713444. Euclid. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given rectilineal figure, and having an angle... | |
 | War office - 1861 - 714 pages
...decimal of 51. 10. Find (-05)3. Extract the square root of 17 to three decimal places. EUCLID. 1. If a side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given triangle, and having one of its angles... | |
 | Antoine Arnauld, Pierre Nicole - Language and logic - 1861 - 522 pages
...surfaces with that of lines. He proves — Book I., proposition 1 6 — that, the side of a triangle being produced, the exterior angle is greater than either of the interior and opposite angles ; and, sixteen propositions further on, he proves that that exterior angle is equal to the two opposite... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...sides of the one shall be equal to the angle contained by the two sides equal to them of the other. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. Make a triangle having its sides equal to three given straight lines, of which... | |
 | Euclides - 1864 - 448 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC "be a triangle, and let the side .BCbe produced to D. Then the exterior angle... | |
 | Euclides - 1864 - 262 pages
...of lines meeting in one point, are together equal to four right angles. PROPOSITION XVI. THEOREM. Tf one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABCbe a triangle, and let the side BCbe produced to D. Then the exterior angle... | |
| |
If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. 
