#!/usr/bin/env python3
-"""
- This file is part of Linpy.
+# This example is inspired from a math question in the French baccalauréat 2014
+# consisting in computing the intersection of a plane with a line.
- 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 pypol import *
+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)
-
-print('DF ∩ P =', DF & P)
+plane = Eq(x, y) & Eq(z, 6 - 2*x)
+line = Eq(x + y - 2*z, 0)
-# Copyright 2014 MINES ParisTech
+if __name__ == '__main__':
+ print('plane: ', plane)
+ print('line: ', line)
+ print('intersection:', plane & line)