Creating Sander's parallelogram with a key angle

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Handwritten derivation of two sine-rule ratios: x/sin α = b/sin β and x/sin Ω = a/sin β, with the note where Ω = 180 - α, β = 180 - β - ... (partially legible) and the line β = 180 - 2β - φ.


Handwritten sine rule derivation: b sin θ / sin β = a sin γ / sin β, then a sin γ / sin(30 - 180 + ...) lines with a = b sin α / sin β style ratio steps, using angles α, β, γ and θ.


Photo of a handwritten mathematical derivation on lined paper, with a title line and several numbered steps involving equations and a boxed final result.


That's it. That angle is the key to create any Sander's Paralellogram
 
Attachments
  • Geometric diagram of a Sander's parallelogram on a grid, with labeled angles alpha, beta and gamma, and point labels a, b, c and d, drawn in red and black.
    mini_637123601.jpg
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Discussion

Hummm, any idea on how I could integrate these files directly in this thread instead of hosting these on a poor website? :)
 
O.k., the first one might be justified to upload (edit window bottom right), but your calculations should be typed in by you, preferably using our LaTeX libraries. See https://www.physicsforums.com/help/latexhelp/

But in any case, please post this in our homework forum and fill out the template which will be automatically inserted.
 
JamesMaths said:
Hummm, any idea on how I could integrate these files directly in this thread instead of hosting these on a poor website? :)
Welcome to the PF.

You need to make high-quality scans of your work, or save them as PDFs, then use the UPLOAD button to post them in a new thread. This thread is closed.

Also, it works best if you can write as much as you can in your new thread posts, beyond just posting images. Please tell us exactly what you are wanting to address (describe the problem), and explain how your approach should work.

Thanks. If you have problems starting that new thread or UPLOAD'ing the documents, please send me a Private Message by clicking on my afatar and clicking on Start a Conversation. :smile:
 

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