 | G.E. Martin - Mathematics - 1997 - 536 pages
...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 and parallel straight... | |
 | Saskatchewan. Department of Education - Education - 1910 - 260 pages
...predominance ? . GEOMETRY. 1. (a) If a side of a triangle be produced the exterior angle is equal to 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 of right angles in... | |
 | Saul Stahl - Geometry, Non-Euclidean - 1993 - 320 pages
...book. Proposition 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. Proposition 47. In right-angled triangles the square on... | |
 | Troels Kardel - Medical - 1994 - 270 pages
...remaining one. 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. 34. In parallelogrammic areas the opposite sides and... | |
 | John R Cole - Biography & Autobiography - 1995 - 374 pages
...1720), sv "Pascal." 5. "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." 6. VMP, 13-15. There is no independent confirmation of... | |
 | Ross Garrett - Sports & Recreation - 1996 - 284 pages
...shows. Those who were made to learn Euclidean geometry in their youth may remember the teacher intoning 'the exterior angle is equal to the sum of the two interior opposite angles'. angle of 70°. the lower limit to 100°. Most boats will fall somewhere between these... | |
 | Douglas M. Jesseph - Mathematics - 1999 - 440 pages
...the theorem that "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" (Elements 1, prop. 32). The theorem is, obviously enough,... | |
 | Reinhard Laubenbacher, David Pengelley - Mathematics - 2000 - 292 pages
...triangles. PROPOSITION 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. Let ABC be a triangle, and let one side of it BC be produced... | |
 | Nick Huggett - Philosophy - 1999 - 292 pages
...2.5 PROPOSITION 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. [Fig. 2.5] Let ABC be a triangle, and let one side of it... | |
 | Giuseppe Moleti, Walter Roy Laird - History - 2000 - 252 pages
...Heath, 2:53-4). 69 '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' (Euclid, Elements, 1.32, tr. Heath, 1:316-17); thus the... | |
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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. 
