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What are the properties of geometry?

logic postulates theorems


What is a statement accepted as true in geometry?

postulates


What is the name for an underlying assumption in geometry?

postulates


Who developed a set of postulates?

The set of postulates, known as the "postulates of geometry," were developed by the ancient Greek mathematician Euclid around 300 BCE. In his work "Elements," Euclid outlined five fundamental postulates that serve as the foundation for Euclidean geometry. These postulates include the concepts of straight lines, circles, and the idea that parallel lines never meet. Euclid's postulates have had a lasting impact on mathematics and geometry throughout history.


Why are postulates not proved in geometry?

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?


Do postulates 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.


Do Postulates need to 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.


What is not a postulate euclidean geometry apex?

The axioms are not postulates.


What is ruler placement 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).


Why is it necessary to use postulates in 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.


What is the difference between geometry and solid geometry?

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.


Example of Math Investigatory Project in Geometry?

investigation about definitions of postulates and theorem and property