| 1876
...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 angle is greater than either of the interior** and opposite angles. Prove this for both the interior angles. COMPOSITION.— Write notes of a lesson... | |
| Robert Potts - 1876 - 403 Seiten
...any 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
...Superposition.] COR. If a triangle is equiangular, it is also equilateral. IHEOR. 9. If any side of a triangle is **produced, the exterior angle is greater than either of the interior opposite angles.** IHEOR. io. The greater side of every triangle has the greater angle opposite to it. IHEOR. n. The greater... | |
| 1876
...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... | |
| Edward Atkins - 1876 - 119 Seiten
...angles be included in any other angle. Make AE =. EC. and ./BAE ± EC'F. S-/BAK. Proposition 16. — **Theorem. If one side of a triangle be produced, the exterior angle** shall be greater than either of the interior opposite angles. Let ABC be a triangle, and let its side... | |
| D. Tierney - 1877
...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...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... | |
| 1877
...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...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... | |
| Euclides - 1877
...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 angle A CD be greater... | |
| Edward Atkins - 1877
...right angles, provided that no one of the angles be included in any other 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. Let ABC be a triangle, and let its side... | |
| Euclides, James Hamblin Smith - 1878 - 349 Seiten
...shew hereafter, p. 149, how this definition may be extended, so as to embrace angles greater than two **right angles. PROPOSITION XVI. THEOREM. If one side...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.... | |
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