 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...would inclose a space, which is impossible. .-. AR is not x to BC. INEQUALITIES. PROPOSITION XIII. If a side of a triangle be produced the exterior angle is greater than either of the interior and opposite angles. Let the side BC of A ABC be produced to D. Then shall the / A CD be > either of... | |
 | Euclides - 1874 - 120 pages
...another. PROPOSITION 16. THEOREM. If one side of a triangle be produced, the exterior angle thull be greater than either of the interior opposite angles. * Let ABC be a triangle, and let one side BC be '• produced to D: the exterior angle ACD shall be greater than either of the interior... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...angle AOC is equal to the angle BOD. QED PROP. XII.— THEOREM. (Euc. I. 16). If one side of a triamjle be produced, the exterior angle is greater than either of the interior remote angles. Let ABC be a triangle, and let the side BC be produced to D; it is required to prove... | |
 | Edward Atkins - 1876 - 130 pages
...S-/BAK. Proposition 16. — Theorem. If one side of a triangle be produced, the exterior angle shall be 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 tho ^ If interior opposite angles CBA, BAG. CONSTRUCTION. — Bisect... | |
 | 1876 - 710 pages
...1. Define the terms, Problem, Theorem, Axiom, Postulate. 2. Proposition XVI, Book I. Prove that if one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. 3. Proposition XLV1I, Book I. Prove that in any right-angled triangle, the square which is described... | |
 | 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...greater than either of the interior opposite angles. 3. Any two exterior angles of a triangle are together greater than two right angles. PDPIL TEACHERS... | |
 | Euclides, James Hamblin SMITH - 1876 - 382 pages
...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... | |
 | 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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...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.... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
