Two-dimensional space | Wikipedia audio article
Channel: wikipedia tts
Date: 27/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Two-dimensional_space


00:00:37 1 History
00:03:18 2 In geometry
00:03:27 2.1 Coordinate systems
00:04:27 2.2 Polytopes
00:04:46 2.2.1 Convex
00:04:59 2.2.2 Degenerate (spherical)
00:05:24 2.2.3 Non-convex
00:06:01 2.3 Circle
00:06:07 2.4 Other shapes
00:06:55 3 In linear algebra
00:07:15 3.1 Dot product, angle, and length
00:07:53 4 In calculus
00:08:05 4.1 Gradient
00:10:24 4.2 Line integrals and double integrals
00:10:34 4.3 Fundamental theorem of line integrals
00:11:14 4.4 Green's theorem
00:13:18 5 In topology
00:14:43 6 In graph theory
00:16:05 7 References
00:16:31 8 See also



Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago.

Learning by listening is a great way to:
- increases imagination and understanding
- improves your listening skills
- improves your own spoken accent
- learn while on the move
- reduce eye strain

Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone.

Listen on Google Assistant through Extra Audio:
https://assistant.google.com/services/invoke/uid/0000001a130b3f91
Other Wikipedia audio articles at:
https://www.youtube.com/results?search_query=wikipedia+tts
Upload your own Wikipedia articles through:
https://github.com/nodef/wikipedia-tts
Speaking Rate: 0.7966426010493266
Voice name: en-GB-Wavenet-B


"I cannot teach anybody anything, I can only make them think."
- Socrates


SUMMARY
=======
Two-dimensional space (also known as bi-dimensional space) is a geometric setting in which two values (called parameters) are required to determine the position of an element (i.e., point). In Mathematics, it is commonly represented by the symbol ℝ2. For a generalization of the concept, see dimension.
Two-dimensional space can be seen as a projection of the physical universe onto a plane. Usually, it is thought of as a Euclidean space and the two dimensions are called length and width.