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Non-Euclidean geometry was discovered when in seeking cleaner alternatives to the fifth postulate it was found that the negation could also be true?
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∙ 13y ago
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Wiki User
∙ 13y ago
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What mathematicians helped to discover alternatives to euclidean geometry in the nineteenth century?
Nikolai Lobachevsky and Bernhard Riemann
What is 24.5 rounded to the nearest hundredth?
24.50
What did Euclid discover?
He was the father of geometry and he discovered many ways of finding angles
Is it true that the sum of three angles of any triangle is 180 in non euclidean geometry?
No. Non-Euclidean geometries usually start with the axiom that Euclid's parallel postulate is not true. This postulate can be shown to be equivalent to the statement that the internal angles of a traingle sum to 180 degrees. Thus, non-Euclidean geometries are based on the proposition that is equivalent to saying that the angles do not add up to 180 degrees.
What is euclid geometry?
Euclid was a man - a great geometer of the ancient world. Your question should read "What is Euclidean geometry ?" The answer is : Euclidean geometry is that geometry that is based on all Euclid's axioms and postulates, including the one that says "Given a straight line on the plane and a point on the plane that is not on the line, then there can be drawn through the point and on the plane, exactly one line that never intersects the first line." Euclid knew quite well that this last was only a postulate, and that it might be possible to construct a self consistent geometry with this postulate different. It was not until the 19th century that other mathematicians caught on to this, and came up with alternative geometries. When we talk about geometries on a surface then the crucial question is whether the surface is flat - if it is then geometry is Euclidean. If the surface is curved then it isn't. Of course, we amost always do our geometry on a flat surface if we can. We can't if we are trying to navigate on the surface of the earth which is curved. The question becomes really important when we go to three dimensions; what is the geometry of space, is it curved and if so which way. The new geometries were another one of the mathematicians' pretty toys until Einstein showed us that space was in fact curved.
Euclids geometry has been questioned but never has a nonEuclidean geometry been accepted as a valid possibility?
false
What is Euclidean geometry mean in math?
Euclidean geometry is the traditional geometry: it is the geometry of a plane surface, as developed by Euclid. Among other things, it is based on Euclid's parallel postulate which said (in effect) that given a line and a point outside that line there could only be one line through that point that was parallel to the given line. It has since been discovered that both alternatives to that postulate - that there are many such lines possible and that there are none - give rise to consistent geometries. These are non-Euclidean geometries.
What are the two kinds of geometry?
euclidean Geometry where the parallel line postulate exists. and the is also eliptic geometry where the parallel line postulate does not exist.
Does the parallel postulate in Euclidean geometry work in spherical geometry?
No.
What is ruler postulate in geometry?
dkjdf
What is corallary in geometry?
Its a type of postulate.
What must you have in order to use the HL postulate?
geometry
What is not a postulate euclidean geometry apex?
The axioms are not postulates.
What does the A stand for in the AAA postulate in geometry?
The A stands for angle.
Is Euclid's 5th postulate correct in spherical geometry?
No.
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).
What was A postulate that was developed and accepted by greek mathematicians?
One postulate developed and accepted by Greek mathematicians was the Parallel Postulate, which stated that given a line and a point not on that line, there is exactly one line through the point that is parallel to the given line. This postulate was crucial in the development of Euclidean geometry. However, it was later discovered that this postulate is not actually necessary for generating consistent geometries, leading to the development of non-Euclidean geometries.
