xeuclid is a project of mine that I've been working on for the past few months. It's a set of python scripts that lets you do analytic geometry in python. You can also draw TikZ diagrams using tikz_draw.py. It's a work in progress. The following python packages are required to use xeuclid,

• numpy
• scipy
• sympy
• pdf2image
• Pillow

To use tikz_draw.py you have to have LaTeX and tikz package installed. You might also need to install ImageMagick.

Installation

You can easily install xeuclid using pip.

$ pip install xeuclid

Example Usage

You can find more examples in docs\example_usage_files\.

from xeuclid import *

A=col_vector([2,1])
B=col_vector([-1,4])
C=col_vector([-2,1])

bisector1=angle_bisector(A,B,C)
bisector2=angle_bisector(B,C,A)
#angle bisector of angle ABC and angle BCA

I=bisector1.intersection(bisector2)
# intersection of bisector1 and bisector2
# I is the incenter of trinagle ABC

tikz=Tikz('triangle.tex', preamble=tikz_config.standalone)

tikz.usepackage('ifthen')

tikz.begin('document')
tikz.begin('tikzpicture')

tikz.draw_grid(x_range=[-5,5],
               y_range=[-5,5],
               color='Black!50')

tikz.draw_axis(x_range=[-5,5], 
               y_range=[-5,5],
               tick_labels=None)

tikz.draw_angle(A,C,B, radius=0.3)
tikz.draw_angle(C,B,A, radius=0.3)
tikz.draw_angle(B,A,C, radius=0.3)

tikz.draw_path(A,B,C,cycle=True)
tikz.draw_path(I,A)
tikz.draw_path(I,B)
tikz.draw_path(I,C)

tikz.draw_points(A,B,C,I)

tikz.node(A, node_config="anchor=west",text=r"$A$")
tikz.node(B, node_config="anchor=south",text=r"$B$")
tikz.node(C, node_config="anchor=east",text=r"$C$")
tikz.node(I, node_config="anchor=north",text=r"$I$")

tikz.end('tikzpicture')
tikz.end('document')

tikz.pdf()
#This will compile the TeX file using pdfLaTeX