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added a top-level tag; https://meta.mathoverflow.net/questions/1457/why-are-mo-tags-formatted-as-they-are
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Martin Sleziak
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Another A problem of four conics theorem

grammar
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Ben McKay
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I found a remarkable theorem of four conics as follows some yearyears ago. But it has no proof,proof; I am looking for a proof:

Theorem: LetTake three conics and one. Suppose that each of them touch witha fourth conic at two points. Then remaining pair of common tangents intersect at three collinear points.

enter image description here

I found a remarkable theorem of four conics as follows some year ago. But has no proof, I am looking for a proof:

Theorem: Let three conics and one of them touch with fourth conic at two points. Then remaining pair of common tangents intersect at three collinear points.

enter image description here

I found a remarkable theorem of four conics as follows some years ago. But it has no proof; I am looking for a proof:

Theorem: Take three conics. Suppose that each of them touch a fourth conic at two points. Then remaining pair of common tangents intersect at three collinear points.

enter image description here

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