 | Royal College of Surgeons of England - 1874 - 36 pages
...other straight lines makes the alternate angles equal, these two straight lines shall be parallel. 6. If one side of a triangle be produced, the exterior angle shall be equal to the two interior and opposite angles ; and the three interior angles of any triangle... | |
 | 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...greater than either of the interior and opposite angles. Prove this for both the interior angles. COMPOSITION.— Write notes of a lesson on Barley. ALGEBEA... | |
 | 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 greater than two right angles.... | |
 | 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.... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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,... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...angles AFB and DAF are equal, the lines DE and BC are parallel (Prop. XXV.). PROPOSITION XXX.—THEOREM. If one side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles, and the three angles of the triangle are... | |
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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. 
