 | Euclides - 1874 - 342 pages
...meeting in one point, are together equal to four right angles. PROPOSITION 16. — Theorem. If one lide of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Let ABC be a triangle, and let the side BC be produced to D. Then the exterior angle... | |
 | Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...respects, (i. i) Hence ^4 C is = DB. Also iACBis = L DBC, and .-. AC is \\ to BD. (i. 20) PROPOSITION XXIV. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; also the three interior angles of every triangle are... | |
 | 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... | |
 | Henry Major - 1876 - 784 pages
...of 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 greater than two right angles.... | |
 | 1876 - 710 pages
...If 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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...the sides also which subtend, or are opposite to, the equal angles, shall be equal to one another. 2. If one side of a triangle be produced, the exterior angle shall be greater than either of the interior opposite angles. 3. The opposite side, and angles of a... | |
 | 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 angle is greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal and parallel straight... | |
 | 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 angle is 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... | |
 | 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... | |
 | 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. 
