 | Euclides, James Hamblin SMITH - 1876 - 382 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...angle is greater than either of the interior opposite anglet. Let the side BC of A ABC be produced to J>. Then must L ACT) be greater than either L CAB or... | |
 | 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.— Write notes of a lesson... | |
 | 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 - 710 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... | |
 | 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... | |
 | 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... | |
 | 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 than either of 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... | |
 | 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... | |
 | William Henry Harrison Phillips - Geometry - 1878 - 236 pages
...equal to 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,... | |
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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. 
