 | 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... | |
 | Isaac Sharpless - 1882 - 292 σελίδες
...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... | |
 | 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...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 - 96 σελίδες
...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 - 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...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
...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 - 1883 - 400 σελίδες
...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
...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
...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... | |
 | Euclides - 1884
...SHEETS. PROPOSITIONS 1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PEOPOSITION XVI. If one side of a triangle be produced, the exterior...greater than either of the interior opposite angles. Let be a triangle, and let the side be produced to Then the exterior angle shall be greater than either... | |
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If one side of a triangle be produced, the exterior angle is greater than either of the interior opposite angles. 
