| Isaac Sharpless - 1882 - 292 Seiten
...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 angles.... | |
| 1883
...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 angle is equal to the** sum of the two interior and opposite angles, and that the three angles of every triangle are together... | |
| 1882
...together equal to two right angles, these two straight lines are in one and the same straight line. 6. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. 7. The greater side of every triangle is opposite... | |
| Marianne Nops - 1882
...straight lines meeting at one point are together equal to four right angles. PROPOSITION XVI., THEOREM 9. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. Let BC, a side of A ABC, be produced to D. The... | |
| Euclid, Isaac Todhunter - 1883 - 426 Seiten
...the given straight line BG. QEF PROPOSITION 32. THEOREM. If a side of any triangle be produced, tJie **exterior angle is equal to the two interior and opposite angles; and the three** interior angles of every triangle are together equal to two right angles. Let ABC be a triangle, and... | |
| Euclides - 1883 - 96 Seiten
...equal. 35. The bisectors of two opposite vertical angles are in the same straight line. PROP. 16. THEOR. **If one side of a triangle be produced, the exterior * angle is** greater than either of the interior opposite angles. Given ABAC, having BC produced to D. To prove... | |
| 1886
...other ; and if the equal sides be produced, the angles on the other side of the base are also equal. 8. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. 4. Straight lines which are parallel to the same... | |
| 1883
...equal to the angle contained by the two lides equal to them of the other. See Prop. VIII. Bk. I. 3. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. See Prop. XVI. Bk. I. 20 [MARCH, 1882. Music.... | |
| Joseph Hughes - 1883
...equal to the angle contained by the two sides equal to them of the other. See Prop. VIII. Bk. I. 3. **If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles. See Prop. XVI. Bk. I. THE PRACTICAL TEACHER. [MARCH,... | |
| Woolwich roy. military acad - 1884
...perpendicular to a given straight line of unlimited length, from a given point without it. 2. If a **side of a triangle be produced, the exterior angle...the two interior and opposite angles; and the three** interior angles are equal to two right angles. If ABC be any triangle, and through D the middle point... | |
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