摘要: Two well-known proofs of the Pythagorean theorem are generalized to prove the law of cosines in a geometrically elegant way by computing areas.关键词: Pythagorean cosines in a geometrically elegant computing areas DOI: 10.4169/math.mag.90.3.182 年份: 2017 ...
This study was conducted to investigate how presenting two mathematical proofs of the Pythagorean theorem affects evaluating the beauty of the proofs. The authors conducted two experiments, each consisting of two sessions: a lecture on mathematical proofs of the Pythagorean theorem and evaluations of th...
their teachers encouraged the students to present at a mathematics conference, and then to seek to publish their work. And even today, they're not done. Now in college, they've been working on further proofs of the Pythagorean Theorem and believe they have found five ...
If two nonconstant meromorphic functions f(z) and g(z) in 𝓜(ℂ) share a1, a2, and a3 CM, and if the order of f(z) and g(z) is neither an integer nor infinite, then f(z)≡ g(z). 3 Proofs of the theorems 3.1 Proof of Theorem 1.3 First we consider the following ...
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was given bySchnabel in[5].In this paper ve propose another such a system.The axioms are presented in seotion 1. Sections 6 and 7constitute the main part of this paper. Section 6 containsproofs of classical theorems of Suclidean geometry -Desarguas'Theorem and Pappus' Theorem. Section 7...
123K What is a right triangle? Learn its definition and properties. See the Pythagorean Theorem and the Right Triangle Altitude Theorem, and use them in proofs. Related to this QuestionSolve the right triangle shown in the figure for all unknown sid...
constitute a coherent mathematical discourse leading to the expression of the area of a cyclic quadrilateral in terms of its sides. The radius... S Kichenassamy - Birkhäuser Boston 被引量: 3发表: 2007年 Japanese theorem: a little known theorem with many proofs Euclidean geometry (Dover ...