Learn Class 11 Math - Introduction to Euclid’s Geometry

It concerns the possibility of resuming a set of infinitely appealing axioms to obtain many more propositions from them.

Based on axioms and theorems introduced by Greek mathematician Euclid, this can be described as the study of solid figures.

Origin

Origin is denoted by the letter ‘O’ used as a fixed point of reference for the geometry of the surrounding space for a given Euclidean geometry.

Answers don’t differ based on the chosen point as the origin.

Five axioms of Euclid’s geometry:

The five axioms of Euclid's geometry can be defined as the statements or propositions which can be regarded as being established, accepted or self-evidently true. They were stated by the Greek mathematician Euclid.

1. Only a straight line can join two points
2. A given straight line can be extended indefinitely in a Straight line.
3. All right angles are congruent.
4. A circle can be drawn with a given straight line by fixing a given endpoint as the center and the length of the straight line as the radius for the circle.
5. Through a point located outside a given straight line, only one straight line can pass, which will be completely parallel to the given straight line and will never intersect with each other.