Loser66
  • Loser66
I don't know what I am supposed to do. Please, help Problem: Similarity of noncongruent triangles is not possible in hyperbolic geometry. Where is the Euclidean parallel assumption used in the proof of the basic proportionality theorem? There are 2 parts, one is about hyperbolic geometry and other is about Euclidean parallel. In hyperbolic, Euclidean parallel is not applied. Hence I don't see relation between 2 parts on the problem. Appreciate any tips.
Mathematics
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Loser66
  • Loser66
I don't know what I am supposed to do. Please, help Problem: Similarity of noncongruent triangles is not possible in hyperbolic geometry. Where is the Euclidean parallel assumption used in the proof of the basic proportionality theorem? There are 2 parts, one is about hyperbolic geometry and other is about Euclidean parallel. In hyperbolic, Euclidean parallel is not applied. Hence I don't see relation between 2 parts on the problem. Appreciate any tips.
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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