| Herbert Spencer - 1910 - 780 Seiten
...theorem is inconveniently long. We shall find a titter one in Proposition xxxii. " If the side of any **triangle be produced, the exterior angle is equal...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,... | |
| David Eugene Smith - 1911 - 360 Seiten
...is equal to two right angles. Euclid stated this as follows : " In any triangle, if one of the sides **be produced, the exterior angle is equal to the two interior and opposite angles, and the three** interior angles of the triangle are equal to two right angles." This states more than is necessary... | |
| Great Britain. Board of Education - 1912
...and the included angle of another triangle, the triangles are equal in all respects. 2. 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. 3. From the angular points B, C of a triangle ABC, perpendiculars... | |
| Great Britain. Board of Education - 1912 - 1032 Seiten
...and the included angle of another triangle, the triangles are equal in all respects. 2. 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. 3. From the angular points S, C of a triangle ABC, perpendiculars... | |
| William Henry Williamson - 1915 - 376 Seiten
...working at his lessons. George Harvey learnt axioms and postulates, how to demonstrate clearly that **if one side of a triangle be produced the exterior angle is** greater than the interior and opposite angle, and the two interior and opposite angles taken together... | |
| Mathematical Association - 1923 - 88 Seiten
...draw a straight line parallel to a given straight line. I. 32 : In any triangle, if one of the sides **be produced, the exterior angle is equal to the two interior and opposite angles, and the three** interior angles of the triangle are equal to two right angles. I. 47 : In right-angled triangles the... | |
| 1919 - 896 Seiten
...of age the old lady died, but not without leaving a profound impress on the future Proposition 16, **"If one side of a triangle be produced, the exterior angle is** greater than either of the interior opposite angles." ' Concerning the attachment between the lad and... | |
| G.E. Martin - 1997 - 536 Seiten
...to draw a straight line parallel to a given straight line. 32. In any triangle, if one of the sides **be produced, the exterior angle is equal to the two interior and opposite angles, and the three** interior angles of the triangle are equal to two right angles. 33. The straight lines joining equal... | |
| Saskatchewan. Department of Education - 1910
...(c) What circumstances concurred to give the Midland Dialect predominance ? . GEOMETRY. 1. (a) If a **side of a triangle be produced the exterior angle...the two interior and opposite angles; and the three** interior angles of the triangle are together equal to two right angles. I. 32. (6) Eind the number... | |
| Mary Tiles - 1991 - 210 Seiten
...have been Aristotle's favourite example (Euclid 1926 pp. 320-1). In any triangle, if one of the sides **be produced, the exterior angle is equal to the two interior and opposite angles, and the three** interior angles of the triangle are equal to two right angles. Figure 1 O BCD Construction Let ABC... | |
| |