38.2k views
2 votes
Axioms of Euclidean geometry?

2 Answers

5 votes

Answer:

1. Things which are equal to the same thing are also equal to one another.

2. If equals be added to equals, the wholes are equal.

3. If equals be subtracted from equals, the remainders are equal.

4. Things which coincide with one another are equal to one another.

5. The whole is greater than the part.

Explanation:

User Ataur
by
8.4k points
2 votes

Answer with Step-by-step explanation:

Euclidean axioms: It is an axiom system about

1.Point

2.Lines

Five axioms of euclidean geometry are given by

1.To draw a straight line from any point to any point.It means we can draw straight line between any two pints.

2.To extend continuously straight line in straight line.

It means a line extend indefinitely .

3. A circle can be drawn with any radius and center.

4.All right angles are equal to one another.

5.Parallel line postulate: If a straight line is falling on two straight line make the interior angles on the same side less than the sum of two right angles, the two straight line, if produced indefinitely meet on that side on which the angles are less than the sum of two right angles.

User Nanor
by
7.8k points