postulates cannot be proved, they are the base of geometry and there isn't anything to prove it with. if the postulates were wrong then all of euclidian geometry would be wrong. that is like saying how do we know the English language is correct, it is the basis for communication and if it wasn't, then how would speaking the language work?
No. Postulates are the foundations of geometry. If you said they were wrong then it would be saying that Euclidean geometry is wrong. It is like if you asked how do we know that English is right. It is how the English language works. So no postulates do not need to be proven.
The ruler placement postulate is the third postulate in a set of principles (postulates, axioms) adapted for use in high schools concerning plane geometry (Euclidean Geometry).
Postulates are statements that prove a fact. An example would be that 2 points create a line segment. You usually use postulates in proofs.
The difference between regular geometry and solid geometry is that regular geometry deals with angles, measuring angles, and theorem/postulates. Solid geometry deals with shapes and multiple sided figures.
investigation about definitions of postulates and theorem and property
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Postulates are statements that are assumed to be true without proof. Theorums are statements that can be deduced and proved from definitions, postulates, and previously proved theorums.
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I do not believe there are any postulates: they can be proved and therefore are not postulates.
No. Postulates are the foundations of geometry. If you said they were wrong then it would be saying that Euclidean geometry is wrong. It is like if you asked how do we know that English is right. It is how the English language works. So no postulates do not need to be proven.
No. Postulates are the foundations of geometry. If you said they were wrong then it would be saying that Euclidean geometry is wrong. It is like if you asked how do we know that English is right. It is how the English language works. So no postulates do not need to be proven.
The axioms are not postulates.
The ruler placement postulate is the third postulate in a set of principles (postulates, axioms) adapted for use in high schools concerning plane geometry (Euclidean Geometry).
Postulates are statements that prove a fact. An example would be that 2 points create a line segment. You usually use postulates in proofs.
yes no. ( a second opinion) A postulate is assumed without proof. Postulate is a word used mostly in geometry. At one time, I think people believed that postulates were self-evident . In other systems, statements that are assumed without proof are called axioms. Although postulates are assumed when you make mathematical proofs, if you doing applied math. That is, you are trying to prove theorems about real-world systems, then you have to have strong evidence that your postulates are true in the system to which you plan to apply your theorems. You could then say that your postulates must be "proved" but this is a different sense of the word than is used in mathematical proving.