Physical meaning of geometrical proposition

In summary, the conversation discusses the concept of a straight line passing through points. It is stated that in Euclidean geometry, there can only be one straight line passing through a given pair of points, which is one of the axioms of this type of geometry. The reason for this is not explained, but it is considered a reasonable assumption.
  • #1
Shubham Raj22
5
0
Is it true that one straight line goes through only 2 points??
If no then how ?? If yes then why??
 
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  • #2
No. A straight line goes through a lot of points. Infinitely many.
 
  • #3
To add slightly to what @BvU said, it is true that there is only one straight line passing through a given pair of points. In Euclidean geometry, at least.
 
  • #4
Yes, my reply was a bit corny. I understand english is not your native language and you meant something else than what the post litterally states. It shows that accurate communication isn't easy, to say the least.

In fact, this is one of the axioms (or postulates) of euclidean geometry. The first axiom, even. As such there is no proof or reason why - except that it's a reasonable thing to state. It is a starting point for a huge construct, namely geometry as we commonly know it (there are others, such as projective geometry).
 

Related to Physical meaning of geometrical proposition

1. What is a geometrical proposition?

A geometrical proposition is a statement that describes a relationship between geometric objects, such as points, lines, angles, and shapes. It is a fundamental concept in geometry and is used to prove theorems and solve problems.

2. What is the physical meaning of a geometrical proposition?

The physical meaning of a geometrical proposition is the real-world interpretation of the statement. It describes how the geometric objects involved are related to each other in a tangible or observable way.

3. How is the physical meaning of a geometrical proposition determined?

The physical meaning of a geometrical proposition is determined by the properties and characteristics of the geometric objects involved and how they interact with each other. It can also be determined through experiments and observations.

4. Why is understanding the physical meaning of geometrical propositions important?

Understanding the physical meaning of geometrical propositions is important because it allows us to apply geometric concepts to real-world situations and solve practical problems. It also helps us to visualize and comprehend abstract geometric ideas.

5. Can geometrical propositions be applied in fields other than geometry?

Yes, geometrical propositions can be applied in various fields such as physics, engineering, architecture, and computer graphics. They provide a framework for understanding and analyzing spatial relationships and can be used to solve complex problems in these fields.

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