请输入您要查询的字词:

 

单词 ApolloniusTheorem
释义

Apollonius theorem


Let a,b,c the sides of a triangle and m the length of the median to the side with length a.Then b2+c2=2m2+a22.

If b=c (the triangle is isosceles), then the theorem reduces to thePythagorean theoremMathworldPlanetmathPlanetmath,

m2+(a/2)2=b2.
TitleApollonius theoremMathworldPlanetmath
Canonical nameApolloniusTheorem
Date of creation2013-03-22 11:44:10
Last modified on2013-03-22 11:44:10
Owneryark (2760)
Last modified byyark (2760)
Numerical id14
Authoryark (2760)
Entry typeTheorem
Classificationmsc 51-00
Classificationmsc 18-00
Classificationmsc 81-00
Related topicTriangle
Related topicMedian
Related topicStewartsTheorem
Related topicProofOfStewartsTheorem
Related topicProofOfApolloniusTheorem2
Related topicParallelogramLaw
Related topicProofOfParallelogramLaw
随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 14:36:13