Dimension 2
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Lesson Summary:
In this video, the concept of dimension 2 is explored by discussing the geometry of the Earth and how to locate any point on its surface using longitude and latitude. The stereographic projection of the Earth is also discussed, where the whole Earth, except the North Pole, can be represented on a plane. This map is called the stereographic projection and is conformal, meaning it preserves shapes but not sizes. The video ends with a glimpse into the concept of the fourth dimension.
Lesson Description:
The math of geography on the earth, the latitudes and longitudes, and the stereographic projection of the earth are explained in this video.
Questions answered by this video:
- How does math relate to latitude and longitude on the earth?
- How can you use two numbers to describe a point on a sphere like the earth?
- What is a stereographic projection?
- Who is Hipparchus?
- Who is Ptolemy?
- How can you draw a picture of the earth in two dimensions on a flat piece of paper?
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Staff Review
Learn about Hipparchus and how Geometry is related to geography. The earth and its geography is discussed in detail as shown on a sphere, and the lines of latitude and longitude are explained mathematically. Ptolemy and the stereographic projection are also shown. The projection of lines of latitude and longitude are also discussed. The visual representations are very impressive.
