| Braithwaite Arnett - 1874
...(1). 1. Draw from a given point a straight line equal to a given straight line. 2. Prove that if a **side of a triangle be produced, the exterior angle is equal to the** two interior and opposite angles. Trisect a given finite straight line. 3. If a straight line be divided... | |
| Benjamin Greenleaf - Geometry - 1875 - 204 pages
...equal. 71. Cor. 3. A triangle cannot have more than one angle as great as a right angle. 72. Cor. 4. **If any side of a triangle be produced, the exterior...angle is equal to the sum of the two interior and** opposite angles. THEOREM XX. Let* ABCDE be any polygon; then the sum of all its interior angles, A,... | |
| Education Department,London - 1876
...Euclid's second corollary to this proposition, and state under what limitation it is true. 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 any triangle are equal to two right... | |
| Robert Potts - Geometry - 1876 - 446 pages
...a given straight line. Explain what different constructions there are in this proposition. 2. 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... | |
| 1876 - 712 pages
...straight lines cut each other show that the opposite vertical angles are equal to each other. 2. If one **side of a triangle be produced the exterior angle is equal to the** two interior and opposite angles. How many degrees are there in the angle of an equilateral decagon.... | |
| Elias Loomis - Geometry - 1877 - 458 pages
...two lie in opposite directions, as ABC, DEH. PROPOSITION XXVII. THEOREM. If one side of a triangle is **produced, the exterior angle is equal to the sum of the two interior and** remote angles ; and the sum of the three interior angles of every triangle is equal to two right anLet... | |
| Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...and DAF are equal, the lines DE and BC are parallel (Prop. XXV.). PROPOSITION XXX.—THEOREM. If one **side of a triangle be produced, the exterior angle is equal to the sum of the two interior and** opposite angles, and the three angles of the triangle are together equal to two right angles. Let ABC... | |
| Wm. H. H. Phillips - Geometry - 1878 - 236 pages
...R. COR. 5. In an equiangular triangle, each angle is equal to ^ of 2R = | R. XVIII. Theorem. If one **side of a triangle be produced, the exterior angle is equal to the** two interior angles not adjacent. HYPOTH. In the triangle ABC, one side, AB, is produced, c forming... | |
| 1878
...GEOMETRY, ALGEBRA, AND TRIGONOMETRY. Time allowed, 4 hours. [ Tables of Logarithms were supplied."] 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 together equal to two right angles.... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...alternate angles EAD, ADC are equal, EF is parallel (I. 25) to BC. Proposition 30. Theorem.—If one **side of a triangle be produced, the exterior angle is equal to the** two opposite interior angles; and the three interior angles of any triangle are equal to two right... | |
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