 | Braithwaite Arnett - 1874 - 130 pages
...EXAMINATION FOR FIRST APPOINTMENTS TO THE CAVALRY AND INFANTRY. May, 1873. EUCLID. (BooK I.) l^hr. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. If two triangles have two angles of the one... | |
 | Charles Astor Bristed - 1874 - 632 pages
...EXAMINATION. WEDNESDAY, Jan. 1, 1845. 9. . .11J. [NB The Differential Calculus is not to be employed.] 1. IF one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. a. In equal circles equal circumferences are subtended... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...BOK, (Const. ) therefore MN is parallel to AB. (I. 20.) QE jr. PUOP. XXIII.— THEOREM. (Euc. I. 32.) If one side of a triangle be produced, the exterior angle is eqiml to the two interior and remote angles ; and the three interior angles of every triangle are together... | |
 | Benjamin Greenleaf - Geometry - 1875 - 204 pages
...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...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... | |
 | Education Department,London - 1876 - 1010 pages
...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... | |
 | 1876 - 400 pages
...rhombus each of whose sides is equal to that line, by the method employed in the first proposition. 2. If one side of a triangle be produced ; the exterior angle is greater than either of the interior and opposite angles. Prove this for both the interior angles. COMPOSITION.—... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION XVL THEOREM. If one side of a triangle be produced, the exterior angle is greater than tither of the interior opposite angles. Let ABCbe a triangle, and let the side .BCbe produced... | |
 | Henry Major - 1876 - 784 pages
...the base, equal to one another, and likewise those which are terminated in the other extremity. 2. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 3. Any two exterior angles of a triangle are together... | |
 | 1876 - 710 pages
...one side of it, are either two right angles, or are together equal to two right angles. 3. Prove that if one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. •доярйх. financial Ааяиа/ General... | |
 | Elias Loomis - Conic sections - 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... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior, and opposite angles. 
