 | William Henry Searles - 1899 - 604 pages
...vertical angle. And is perpendicular to the base. 5 L, XXV., Cor. 6.. If one side of a triangle is produced, The exterior angle is equal to the sum of the two interior and opposite angles. 6 IV., XX I, XXVII If two triangles are mutually equiangular, They are similar. And their corresponding... | |
 | T S. Taylor - 1880 - 152 pages
...THEOREM (Euclid I. 32, First Part). Repeat. — The enunciations of Euc. I. 29. General Enunciation. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles. (Compare this with Euc. I. 16, page 56, which proves that the exterior... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...to each other, the sides also which subtend the equal angles shall be equal to one another. 3. If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal... | |
 | Robert Assheton Napier - Navigation - 1880 - 132 pages
...ship's course. Time, 9 pm .-. elapsed time = 30 minutes = 6 miles = distance from light. Proof—If a side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; but one interior and opposite angle is already equal to half the... | |
 | 1880 - 594 pages
...-words may be used, but no symbols of operations, such as -, +, X, are admissible.) — I. Euc. L 7. 2. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Any two exterior angles of a triangle are together... | |
 | Euclides, Frederick Burn Harvey - Geometry - 1880 - 178 pages
...that the angle CEB = the angle AED. 2. Prove each of the above Corollaries. PROP. XVI. • THEOREM. If one side 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 BG be... | |
 | Pupil teachers - 1880 - 1486 pages
...are equal in all respects. Same proposition. Give corollaries. Propositions XVL-XXVI (inclusive). 18. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. Same proposition. Show that only one perpendicular... | |
 | Moffatt and Paige - 1881 - 176 pages
...operations, such as - , +, x .] 1. Find a point which is equidistant from the angles of a given triangle. 2. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 3. If two triangles have two angles of the one... | |
 | 1883 - 248 pages
...between the angles which the line drawn across makes with the two parallel straight lines. 4. Prove that, if one side of a triangle be produced, the exterior...the sum of the two interior and opposite angles, and that the three angles of every triangle are together equal to two right angles. The angles ABC, -AC... | |
 | Isaac Sharpless - Geometry - 1882 - 286 pages
...the alternate angles EAD, ADC are equal, EF is parallel (I. 25) to BC. Proposition 30. Theorcm. — If one side of a triangle be produced, the exterior angle is equal to the two opposite interior angles; and the three interior angles of any triangle are equal to two right... | |
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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. 
