- #1
Stratosphere
- 373
- 0
Is there a point to geometric proofs? The ones that I have encountered are so obvious that it almost seems useless to have to use them for anything.
Stratosphere said:Is there a point to geometric proofs? The ones that I have encountered are so obvious that it almost seems useless to have to use them for anything.
A geometric proof is a logical argument that uses mathematical principles and properties to show that a statement or theorem is true. It typically involves a series of steps, starting from given information and using deductive reasoning to arrive at a conclusion.
In a geometric proof, a point is considered obvious if it can be easily identified or inferred from the given information and the previously established statements. It should not require any additional assumptions or complicated reasoning to understand why the point is true.
An obvious point is one that can be easily identified or inferred from the given information and the previously established statements. It does not require any additional assumptions or complicated reasoning to understand why the point is true. On the other hand, an assumed point is one that is not explicitly stated or given, but is necessary to make the proof work. It requires an additional assumption or reasoning to understand why the point is true.
To prove that a point is obvious in a geometric proof, you need to provide a clear and concise explanation that shows why the point can be easily identified or inferred from the given information and the previously established statements. This can be done by using logical reasoning, mathematical principles, and properties to support your explanation.
Yes, a point can be considered obvious in a geometric proof even if it is not explicitly stated or given. As long as the point can be easily identified or inferred from the given information and the previously established statements, it can be considered obvious. However, it is important to provide a clear explanation to support why the point is obvious in the proof.