请输入您要查询的字词:

 

单词 PtolemysTheorem
释义

Ptolemy’s theorem


If ABCD is a cyclic quadrilateralMathworldPlanetmath, then the product of the two diagonals is equal to the sum of the products of opposite sides.

ACBD=ABCD+ADBC.

When the quadrilateralMathworldPlanetmath is not cyclic we have the following inequality

ABCD+BCAD>ACBD

An interesting particular case is when both AC and BD are diametersMathworldPlanetmath, since we get another proof of Pythagoras’ theorem.

TitlePtolemy’s theorem
Canonical namePtolemysTheorem
Date of creation2013-03-22 11:43:13
Last modified on2013-03-22 11:43:13
Ownerdrini (3)
Last modified bydrini (3)
Numerical id18
Authordrini (3)
Entry typeTheorem
Classificationmsc 51-00
Classificationmsc 60K25
Classificationmsc 18-00
Classificationmsc 68Q70
Classificationmsc 37B15
Classificationmsc 18-02
Classificationmsc 18B20
Related topicCyclicQuadrilateral
Related topicProofOfPtolemysTheorem
Related topicPtolemysTheorem
Related topicPythagorasTheorem
Related topicCrossedQuadrilateral
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 3:55:35