| Henry Major - Student teachers - 1873
...straight line BC. XXXII. — If a side of any triangle lie produced, tht exterior angle is equal to **the two interior and opposite angles; and the three interior angles of** evary triangle are equal to two right cmgles. Let ABC be a triangle, and let one of its sides BC be... | |
| Benjamin Greenleaf - Geometry - 1874 - 206 pages
...cannot have more than one angle as great as a right angle. 72. Cor. 4. If any side of a triangl^ 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, B, C, D, E, is equal... | |
| Braithwaite Arnett - 1874
...£225 per annum ? EUCLID. 1. If a side of any 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 to two right angles. Prove that the angle between the bisectors of two consecutive angles... | |
| Euclides - 1874 - 342 pages
...PROPOSITION 32.— Theorem. If a side of any triangle be produced, the exterior angle is equal to thutwo **interior and opposite angles ; and the three interior angles of every triangle are** together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced... | |
| Royal College of Surgeons of England - 1874 - 13 pages
...lines shall be parallel. 6. If one side of a triangle be produced, the exterior angle shall be equal to **the two interior and opposite angles ; and the three interior angles of** any triangle are together equal to two right angles. 7. If a straight line be divided into two equal,... | |
| Henry Major - 1876
...twenty-seventh proposition Of Book I. 3. If a side of any 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 to two right angles. 1. Find the value of t( , a (tf±-6) ~ <-a* b*) When a = 2, 6 =... | |
| Robert Potts - Geometry - 1876 - 446 pages
...than the base of the other. 3. If a side of any 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 to two right angles. 4. Triangles on equal bases and between the same parallels are... | |
| Education Department,London - 1876
...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 angles. 2. Equal triangles on the same base and on the same aide... | |
| Elias Loomis - Geometry - 1877 - 458 pages
...direction, while the other 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
...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 be a triangle, and let one of... | |
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