Comp Sci Draw Longitude Lines of a Sphere on a Circle

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To draw longitude lines on a 2D globe, it's essential to understand that they will appear as half-ellipses due to the projection method used. The Mercator projection is a common choice for this purpose, but other projections may also be considered depending on the desired visual representation. Techniques for drawing ellipses are crucial for accurately depicting these lines. Exploring various projection methods can enhance the overall design of the globe. Understanding these concepts will aid in creating a more accurate 2D representation of a sphere.
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Homework Statement
Find formula for putting curve to put longitude lines of the 2D circle
Relevant Equations
None
I'm trying to draw a 2D globe
 

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Welcome to PF.

What can you tell us about Mercator's projection? Are there any other projections that you could consider using?
 
The lines of longitude will look like half-ellipses on the face of the 2D globe.
You need to find out how to draw an ellipse.
 
Thread 'Why wasn’t gravity included in the potential energy for this problem?'

Thread 'Why wasn’t gravity included in the potential energy for this problem?'

I’m looking at the attached vibration problem. The solution in the manual includes the spring potential energy but does NOT include the gravitational potential energy of the hanging mass. Can someone explain why gravitational potential energy is not included when deriving the equation of motion? I tried asking ChatGPT but kept going in circles and couldn't figure out. Thanks!
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