| Education, Higher - 1882 - 498 pages
...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...greater than either of the interior opposite angles.** 7. The greater side of every triangle is opposite to the greater angle. 8. Place a straight line of... | |
| 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 angle is** equal to the sum of the two interior and opposite angles, and that the three angles of every triangle... | |
| 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... | |
| Education - 1883 - 654 pages
...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...greater than either of the interior opposite angles.** See Prop. XVI. Bk. I. 20 [MARCH, 1882. Music. A quarter of an hour allmved far this Paptr. i. Write,... | |
| Euclides - 1883 - 176 pages
...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...greater than either of the interior opposite angles.** Given ABAC, having BC produced to D. To prove L. ACD > either i. A or L. ABC. Bisect AC at E (/. 10).... | |
| Joseph Hughes - Education - 1883 - 568 pages
...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...greater than either of the interior opposite angles.** See Prop. XVI. Bk. I. THE PRACTICAL TEACHER. [MARCH, 1882. Music. A quarter of an h«ur allowed for... | |
| Mathematical association - 1883 - 86 pages
...Superposition.] COR. If a triangle is equiangular, it is also equilateral. THEOR. 9. If any side of a triangle is **produced, the exterior angle is greater than either of the interior opposite angles.** THEOR. 10. Any two angles of a triangle are together less than two right angles. COR. 1. If a triangle... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...number of straight lines meeting at one point, are together equal to four right angles. 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 one side... | |
| 1886 - 564 pages
...Given 2x*—5x = 12, to find x. EUCLID. FIRST DIVISION. 1. Define a right angle, a circle, a square. 2. **If one 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 together... | |
| Euclides - 1884 - 182 pages
...greater than the angle A . 10. In the same figure, prove that the angle F is less than the angle ABC. 52. **PROPOSITION XVI. — THEOREM. If one side of a triangle...greater than either of the interior opposite angles. Let** ABC be a triangle whose side BC is produced to D. Then the exterior angle ACD shall be greater than... | |
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