 | S. M. Saxby - Nautical astronomy - 1861 - 136 pages
...must the whole angle ADB be the double of the angle ACB. Fig. 17. 24. Euc. I. Prop. XXXII. — If any side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of any triangle are equal to two right... | |
 | Alexander Hadden Hutchinson - 1861 - 128 pages
...10s for 4 months at 4 per cent, per annum. 10. Extract the square root of '191810713444. Euclid. 1. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 2. Describe a parallelogram equal to a given rectilineal... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...equal when they are right angles. ELEMENTS OF GEOMETRY. PROPOsrnojf XXVII. — THEOREM. 94. Jf any side of a triangle be produced, the exterior angle...to the sum of the two interior and opposite angles. Let ABC be a triangle, and ^ E let one of its sides, BC be produced towards P ; then the exterior angle... | |
 | Benjamin Greenleaf - Geometry - 1862 - 532 pages
...DEH, ABC would only be equal when they are right angles. PROPOSITION XXVII. — THEOREM. 94. If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and ojiposile angles. Let ABC be a triangle, and д E let one of its sides, В С be produced towards D... | |
 | S. M. Saxby - Marine engines - 1862 - 200 pages
...ECB, so must the whole angle ADB be the double of the angle AC B. *28. Euc. I. Prop. XXXII.— If any side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of any triangle are equal to two right... | |
 | Benjamin Greenleaf - Geometry - 1863 - 502 pages
...DEH, ABC would only be equal when they are right angles. PROPOSITION XXVII. — THEOREM. 94. If any side of a triangle be produced, the exterior angle...to the sum of the two interior and opposite angles. Lot ABC bo a triangle, and lot one of its sides, BC be produced towards D ; then the exterior angle... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 pages
...H", ABC would only be equal when they are right angles. PROPOSITION XXVII. — THEOREM. 94. If any side of a triangle be produced, the exterior angle...to the sum of the two interior and opposite angles. Let ABC be a triangle, and AE lot one of its sides, BC be pro- /\ duced towards D ; then the exterior... | |
 | University of Oxford - Education, Higher - 1863 - 316 pages
...sides of the one shall be equal to the angle contained by the two sides equal to them of the other. 3. If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 4. Make a triangle having its sides equal to three... | |
 | Euclides - 1864 - 448 pages
...number of lines meeting in one point, are together equal to four right angles. PROPOSITION 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 .BCbe... | |
 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...angles. Hence the theorem ; the sum of the three angles, etc. THEOREM XII. If any side of a triangle is produced, the exterior angle is equal to the sum of the two interior opposite angles. Let ABC be a triangle. Produce AB to D; and we are to prove that the angle CBD is... | |
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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. 
