Defect zero characters predicted by local structure
نویسندگان
چکیده
منابع مشابه
Legendre’s Defect Zero Theorem
Lemma 1. Let 4ABC be a triangle with acute angles ∠A and ∠C. Drop a perpendicular from B to the base line ←→ AC, and let F be the foot. Then A ∗ F ∗ C. Proof. Observe that F 6= A since ∠BAC is not a right angle. Likewise F 6= C. So by Axiom B-3, one of A,F,C is between the other two. If F ∗A ∗C then ∠BAC is external to ∠BFA, so ∠BAC > ∠BFA which contradicts the assumption that ∠A is acute. Like...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2017
ISSN: 0024-6093
DOI: 10.1112/blms.12040