For this discussion your group must answer the following essential questions:
· How is Euclidean Geometry used in the real world?
· How is Non - Euclidean Geometry used in the real world?
Your responses must be clear, concise, and must contain explanations that appeal to all learning styles in our classroom. You can create explanations with notes, pictures and links to videos that may enhance the class' understanding of the topic.
Euclidean geometry is a mathematical system
ReplyDeleteWhat do mean by a mathematical system? Can you explain a little bit more!
DeleteA structure formed from one or more sets of undefined objects.
DeleteJamel can you be more specific give example, a video ect... can you explain more/elaborate on what is Euclidean Geometry ?
DeleteHow is it a mathematical system? A mathematical system can refer to different things.
DeleteHey Yudelka why you answer the question if you are not apart of their group?
ReplyDeleteum how is non Euclidean and Euclidean geometry system used in the real world can u give an example??
ReplyDeletePainters use ladders to paint on high buildings and often use the help of Euclidean Geometry to complete their work. Take for example a painter who has to paint a wall which is about 8 m high. The painter has to put the ladder 6 m away to avoid a rack in between. What will be the length of the ladder required by the painter to complete his work? You can calculate it using Euclidean Geometry.
ReplyDeleteCan you please cite where you got this, and can you solve the problem and can you explain what is Euclidean Geometry in YOUR OWN WORDS.
ReplyDeleteNon-Euclidean Geometry USed In The Real World:
ReplyDeleteEinstein's Theory Of General Relativity is based on a theory that space is curved. The cause is explained by the theory itself.
Einstein's General Theory of Relativity can be understood as saying that:
-Matter and energy distort space
-The distortions of space affect the motions of matter and energy.
If this is true then the correct Geometry of our universe will be hyperbolic geometry (Non-Euclidean Geometry) which says that our Universe is 'Curved'. Many present-day cosmologists feel that we live in a three dimensional universe that is curved into the 4th dimension and that Einstein's theories were proof of this. Hyperbolic Geometry (Non-Euclideian Geometry) plays a very important role in the Theory of General Relativity. (http://noneuclidean.tripod.com/applications.html) Look at like link to find other real world applications using Non-Euclidean Geometry
Euclidean Geometry is a form of geometry that says: Euclid's Definitions
ReplyDeleteA point is that which has no parts.
A line is that which has length without width.
The limits of a line are points.
A straight line is that which lies equally to the points on it.
A surface is that which has only length and breadth.
The limits of a surface are lines.
A plane surface is that which lies equally to the straight lines on it.
(http://www.savory.de/maths12.htm)
If my description wasn't helpful, I suggest you use this link to a website that gives you short, but very intuitive facts and examples about what makes up the basis of Euclidean Geometry. (https://www.khanacademy.org/math/geometry/intro_euclid)
How can a line have length without width?
ReplyDeleteWhat exactly is Non-Euclidean geometry?
ReplyDelete