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Proven Coneelkement |
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€ 133.88
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2024 · Bleistiftzeichnung, manuelle digitale Nachbearbeitung
· Picture ID: 1619663
A digitally enhanced mathematical proof that was originally drawn on paper: Why circles are stereographically projected onto circles.
The circle on the sphere and its image in the equatorial plane are both connected by a kind of cone. If the circle were the base of the cone, the point of intersection with a plane would be an ellipse. Since the point of intersection is a circle, the base must be an ellipse. I look at this cone from a direction that is perpendicular to the axis of the cone. The actual proof that circles are projected onto circles is provided by finding various triangles and angles in this sketch.
I drew it in 2021 when I wasn't sure if it was just a proof or art. In 2024, I was sure it should be both! I want to prove that "sober maths" can also be beautiful.
Created on paper, scanned and inverted, digital overlay created manually with a digital pen. No AI!
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