| General Medical Council (Great Britain) - 1869
...for your answer. 5. What is the common modern classification of Duties ? HIGHER MATHEMATICS. 1. If a **side of a triangle be produced, the exterior angle is equal to the** two interior and opposite angles ; and the three interior angles of every triangle are together equal... | |
| Richard Wormell - Geometry, Plane - 1870 - 16 pages
...the two given sides. Through the extremities draw lines parallel to the sides of the angle. If one **side of a triangle be produced, the exterior angle is equal to the** two interior and opposite angles ; and the three angles of a triangle are together equal to two right-angles.... | |
| Alfred Challice Johnson - Spherical trigonometry - 1871
...parallel straight lines, it makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a **side of a triangle be produced, the exterior angle is equal to the** two interior and opposite angles; and the three interior angles are equal to two right angles, or 180°.... | |
| William Frothingham Bradbury - Geometry - 1872 - 238 pages
...third of two right angles, or two thirds of one right angle. 39, Cor. 6. If fmy side of a triangle is **produced, the exterior angle is equal to the sum of the two interior and** opposite. THEOREM VIII. 40, If two triangles have two sides and the included angle of the one respectively... | |
| Euclid, Charles Peter MASON - Geometry - 1872
...equal, the lines E Fand AB are parallel. (Prop. XXVII.) PROPOSITION XXXTT. If a side of a triangle is **produced, the exterior angle is equal to the sum of the two interior and** opposite angles; and the three interior angles of a triangle are together equal to two right angles.... | |
| William Frothingham Bradbury - Geometry - 1872 - 124 pages
...third of two right angles, or two thirds of one right angle. 39. Cor. 6. If any side of a triangle is **produced, the exterior angle is equal to the sum of the two interior and** opposite. THEOREM VIII. 40. If two triangles have two sides and the included angle of the one respectively... | |
| Benjamin Greenleaf - Geometry - 1873 - 202 pages
...Scholium. This proposition is restricted to the case where the side EF lies in the same direction with BC, **since if FE were produced toward H, the angles DEH,...ABC would only be equal when they are right angles.** THEOREM XIX. Let ABC be any triangle ; then will the sum of the angles ABC, B CA, CA B be equal to... | |
| Lewis Sergeant - 1873
...Case 3 ; when G is on DB. Here it is plain that EC cannot be equal to BD. Proposition 14. — Theorem. **If any side of a triangle be produced, the exterior angle is** greater than eitlier oftlie two interior and opposite angles. If the side BC of the triangle ABC be... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 pages
...Scholium. This proposition is restricted to the case where the side EF lies in the same direction with BC, **since if FE were produced toward H, the angles DEH,...ABC would only be equal when they are right angles.** THEOREM XIX. Let ABC be any triangle ; thon will the sum of the angles ABC, B CA, CABbe equal to two... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 349 pages
...i) Hence ^4 C is = DB. Also iACBis = L DBC, and .-. AC is \\ to BD. (i. 20) PROPOSITION XXIV. If one **side of a triangle be produced, the exterior angle is equal to the** two interior and opposite angles; also the three interior angles of every triangle are together equal... | |
| |