#!/usr/bin/env python3
-#
-# Copyright 2014 MINES ParisTech
-#
-# This file is part of LinPy.
-#
-# LinPy is free software: you can redistribute it and/or modify
-# it under the terms of the GNU General Public License as published by
-# the Free Software Foundation, either version 3 of the License, or
-# (at your option) any later version.
-#
-# LinPy is distributed in the hope that it will be useful,
-# but WITHOUT ANY WARRANTY; without even the implied warranty of
-# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
-# GNU General Public License for more details.
-#
-# You should have received a copy of the GNU General Public License
-# along with LinPy. If not, see <http://www.gnu.org/licenses/>.
-from linpy import *
+# This example is inspired from a math question in the French baccalauréat 2014
+# consisting in computing the intersection of a plane with a line.
+
+from linpy import Eq, symbols
x, y, z = symbols('x y z')
-DF = Eq(x, y) & Eq(z, 6 - 2*x)
-P = Eq(x + y - 2*z, 0)
+plane = Eq(x, y) & Eq(z, 6 - 2*x)
+line = Eq(x + y - 2*z, 0)
-print('DF ∩ P =', DF & P)
+if __name__ == '__main__':
+ print('plane: ', plane)
+ print('line: ', line)
+ print('intersection:', plane & line)