 | 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 to D.... | |
 | Association for the improvement of geometrical teaching - Geometry, Modern - 1876 - 66 pages
...Superposition.] COR. If a triangle is equiangular, it is also equilateral. IHEOR. 9. If any side of a triangle is produced, the exterior angle is greater than either of the interior opposite angles. IHEOR. io. The greater side of every triangle has the greater angle opposite to it. IHEOR. n. The greater... | |
 | 1876 - 700 pages
...two 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... | |
 | Edward Atkins - 1877 - 72 pages
...angle. Proposition 16.— Theorem. If one side of a triangle be produced, the exterior angle shall lie greater than either of the interior opposite angles....its side BC be produced to D. The exterior angle ACD shall be greater than either of the interior opposite angles CBA, BA(J. CONSTRUCTION. — Bisect AC... | |
 | Euclides - 1877 - 58 pages
...other, the straight lines joining their extremities are all equal. PROPOSITIOX XVI. THEOREM. If one tide of a triangle be produced the exterior angle is greater...the interior opposite angles. Let ABC be a triangle of which one side BC is produced to D ; then shall the exterior angle A CD be greater than either of... | |
 | 1877 - 678 pages
...straight line joining their vertices, produced if necessary, cuts the common base at right angles. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. If all except two of the sides of a polygon be produced in order, the sum of the exterior angles thus... | |
 | D. Tierney - 1877 - 126 pages
...their other angles shall be equal, each to each, viz. those to which the equal sides are opposite. 2. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal and parallel straight lines towards the... | |
 | Queensland. Department of Public Instruction - Education - 1909 - 144 pages
...Tooke, George Cohnan. MATHEMATICS— PAPER I. 1. Prove that if o' e side of a tri ingle is p oduced the exterior angle is greater than either of the interior opposite angles. 2. Prove thai th» sum of the angles of a triangle is equal to two right angles, Find the size of the... | |
 | Euclides - 1878 - 398 pages
...definition may be extended, so as to embrace angles greater than two right angles. PROPOSITION XVI. THEOREM. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. D Let the side BC of AA fiC be produced to D. Then must L ACD be greater than either L CAB or L ABC.... | |
 | Āryabhaṭa - 1878 - 100 pages
...PROP. vi. ThEOREM. (E. 1. 16.) If one side of a triangle oe produced, the exterior angle is greater1 than either of the interior opposite angles. Let ABC be a triangle, and its side BC be produced to D. The exterior angle ACD is greater thaa either of the interior opposite... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
