Wolfram Language Paclet Repository

Community-contributed installable additions to the Wolfram Language

WolframAlphaMath/ AreaMethod

A Wolfram Language implementation of the area method for geometry

Contributed by: Jack Heimrath

Installation Instructions

To install this paclet in your Wolfram Language environment, evaluate this code:
PacletInstall["WolframAlphaMath/AreaMethod"]

Details

The area method is a decision procedure for geometry developed by Chou et al. in the 1990's. The method aims to reduce the specified hypothesis to an algebraically verifiable form by applying elimination lemmas. The order in which the lemmas are applied is determined by the stated conjecture and the underlying geometric construction.

Paclet Guide

Examples

Basic Examples (3) 

Represent the geometric construction corresponding to Ceva's theorem in terms of elementary construction steps:

In[1]:=
(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/7d670044-6820-4c52-8876-5262a8c69a40"]
Out[1]=

State the hypothesis of Ceva's theorem:

In[2]:=
(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/069ae144-93d8-4854-aa6e-6b7597065216"]
Out[2]=

Verify Ceva's Theorem:

In[3]:=
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Out[3]=

Scope (1) 

Show the full proof of a theorem:

In[4]:=
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Out[4]=

Publisher

Wolfram|Alpha Math Team

Compatibility

Wolfram Language Version 13.1

Version History

  • 1.0.0 – 05 April 2023

License Information

MIT License

Paclet Source