梅涅劳斯定理与塞瓦定理(Ceva's Theorem)互为对偶: 梅涅劳斯定理关注共线点的条件(截线与三角形边的交点共线); 塞瓦定理关注共点线的条件(三条直线交于一点)。两者结合可解决更广泛的几何问题。 梅涅劳斯定理通过简洁的数学语言揭示了复杂几何图形中的内在规律,其思想至今仍影响着数学教学与研究,...
This chapter elaborates the Menelauss theorem. This theorem has been known because the ancient Greeks, but is unfamiliar today. It often is a handy tool in curve and surface design, because it relates the ratios between different control points in a simple intuitive way. In particular, ...
The meaning of MENELAUS' THEOREM is a theorem in geometry: if through a triangle ABC a transversal is drawn cutting the sides BC, AB, AC (produced if necessary) in the respective points p, q, r, then the product Aq×Bp×Cr is numerically equal to the pro
必应词典为您提供Menelaus's-theorem的释义,网络释义: 梅涅劳斯定理;孟氏定理;米尼劳斯定理;
(unstated) application to problems in spherical astronomy. Book III, the last, concentrates on spherical trigonometry and introducesMenelaus’s theorem. The form of this theorem for plane triangles, well known to his contemporaries, was expressed as follows: if the three sides of a triangle are ...
A vector proof and applications of Menelaus Theorem 作者: 廖小勇 作者机构: 黄冈师范学院数学系,湖北黄冈438000 出版物刊名: 曲靖师范学院学报 页码: 29-31页 主题词: 射影几何 Menelaus定理 矢量 摘要:给出了Menelaus定理的一种关于矢量的证明方法,并利用Menelaus定理证明了射影 几何中的几个著名定理. 五角星中...
Ceva's Theorem characterizes the concurrency of lines and Menelaus's Theorem characterizes the collinearity of points. In 1992 Klamkin and Liu proved a very general result in the Extended Euclidean Plane, [Special characters omitted.] ), that contains Ceva's Theorem and Menelaus' Theorem as ...
(ˌmɛnɪˈleɪəs) n (Classical Myth & Legend)Greek mytha king of Sparta and the brother of Agamemnon. He was the husband of Helen, whose abduction led to the Trojan War Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991,...
英音[menə'leiəs] ; 美音[menə'leiəs] ; 名词 斯巴达王 相似短语 Menelaus theorem米尼劳斯定理 相似单词 Menelausn. 斯巴达王 menelausn.斯巴达王 最新单词 exposal的中文释义a. 曝光的;揭发的;陈列的 exporter是什么意思n. 1.出口商;输出国 ...
During the Islamic Golden Age, Muslim scholars devoted a number of works that engaged in the study of Menelaus's theorem, which they referred to as "the proposition on the secants" (shakl al-qatta'). 在伊斯兰黄金时代,穆斯林学者投入了大量从事墨涅劳斯定理研究的著作,他们称之为“关于割线的命题...