 | Edward Atkins - 1877 - 72 sider
...angle. Proposition 16.— Theorem. If one side of a triangle be produced, the exterior angle shall lie 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 the interior opposite angles CBA, BA(J. CONSTRUCTION. — Bisect AC... | |
 | Euclides - 1877 - 58 sider
...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...the interior opposite angles. Let ABC be a triangle of which one side BC is produced to D ; then shall the exterior angle A CD be greater than either of... | |
 | 1877 - 678 sider
...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...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 angles thus... | |
 | D. Tierney - 1877 - 126 sider
...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...greater than either of the interior opposite angles. 3. The straight lines which join the extremities of two equal and parallel straight lines towards the... | |
 | Queensland. Department of Public Instruction - 1909 - 144 sider
...Tooke, George Cohnan. MATHEMATICS— PAPER I. 1. Prove that if o' e side of a tri ingle is p oduced the exterior angle is greater than either of the interior opposite angles. 2. Prove thai th» sum of the angles of a triangle is equal to two right angles, Find the size of the... | |
 | Euclides - 1878 - 398 sider
...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...greater than either of the interior opposite angles. D Let the side BC of AA fiC be produced to D. Then must L ACD be greater than either L CAB or L ABC.... | |
 | Thomas Hunter - 1878 - 142 sider
...straight lines meeting at a common point is equal to four right angles. PROPOSITION XVIII.—THEOREM. If one side of a triangle be produced, the exterior angle is greater than either of the interior and opposite angles. Let the triangle ABC have ,-•'/ one of its sides, AB, produced to D; then will... | |
 | Āryabhaṭa - 1878 - 100 sider
...PROP. vi. ThEOREM. (E. 1. 16.) If one side of a triangle oe produced, the exterior angle is greater1 than either of the interior opposite angles. Let ABC be a triangle, and its side BC be produced to D. The exterior angle ACD is greater thaa either of the interior opposite... | |
 | W J. Dickinson - 1879 - 44 sider
...all respects. Same proposition. Give corollaries. • Propositions XVI. -XXVI. (inclusive). 16. If one side of a triangle be produced, the exterior angle...greater than either of the interior opposite angles. • Same proposition. Show that only one perpendicular can be drawn from a given point to a given straight... | |
 | Moffatt and Paige - 1879 - 428 sider
...length. (5) Prove that any two angles of a triangle are together less than two right angles. (6) If one side of a triangle be produced, the exterior angle is greater than either of the interior and opposite angles. Show that only one perpendicular can be drawn from a given point to a given straight... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
