INTRODUCTION TO EUCLID'S GEOMETRY PART 2

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Interior point of a line segment: A point P is called an interior point of a line segment AB, if P lies between A and B but P is neither A nor B.
Theorems on Euclid's geometry

  • Theorem 1: Two distinct lines can't have more than one point in common.
  • Theorem 2: Two lines which are both parallel to the same line, are parallel to each other.
  • Theorem 3: If l, m, n are lines in the same plane such that l intersects m and m ॥ n ( m is parallel to n ), then l intersects n also.
  • Theorem 4: If l and m are intersecting lines, l ॥ p and m ॥ q, then p and q also intersects.
  • Theorem 5: If lines AB, AC, AD, and  AE are parallel to a line l, then points A, B, C, D and E are collinear.

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