| Henry Major - Student teachers - 1873 - 580 pages
...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 - 130 pages
...£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 - 36 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 - 784 pages
...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 - 1010 pages
...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 - Conic sections - 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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