eucledian rules
Euclidean rules refer to a set of principles and theorems developed by the ancient Greek mathematician Euclid in his book "Elements". These rules form the foundation of Euclidean geometry, which is the study of points, lines, surfaces, and solids in space.
Some of the key Euclidean rules include:
1. Straight line segment: A straight line segment can be drawn between any two points.
2. Right angle: Two lines are said to form a right angle if they intersect and the adjacent angles are equal to each other.
3. Triangle inequality theorem: In a triangle, the sum of the lengths of any two sides is always greater than the length of the third side.
4. Congruence of triangles: Two triangles are congruent if their corresponding sides and angles are equal.
5. Pythagorean theorem: In a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
6. Parallel lines: If two lines are intersected by a transversal and the corresponding angles are equal, then the lines are parallel.
7. Similarity of triangles: Two triangles are similar if their corresponding angles are equal.
8. Circle properties: A circle is a set of points equidistant from a central point. The radius is the distance from the center to any point on the circle, and the diameter is twice the radius.
These rules and theorems form the basis for solving geometric problems, establishing relationships between geometric entities, and developing further mathematical concepts.