What Is the Gauss Embedding Theorem Mentioned in the Video Talk?

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The Tortoise-Man
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Does anybody know to which "Gauss embedding theorem" the speaker in this video talk at minute 14 (point 5. in the displayed notes) is refering too? Sounds to be a standard result in differential geometry, but after detailed googling I found nothing to which the speaker may refering too in the linked video. Any ideas?
 
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