 | Herbert Spencer - 1910 - 780 páginas
...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 páginas
...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 - 632 páginas
...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 - 1044 páginas
...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 páginas
...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 páginas
...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 - 956 páginas
...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 páginas
...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 - 260 páginas
...(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 páginas
...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... | |
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If a side of any triangle be produced, the 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. 
