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SymPy

SymPy is a Python library for symbolic mathematics. It aims to become a full-featured computer algebra system (CAS) while keeping the code as simple as possible in order to be comprehensible and easily extensible. SymPy is written entirely in Python and does not require any external libraries.

한 점과 선분의 직교하는 지점(최단거리) 찾기

import matplotlib as mpl
import matplotlib.pylab as plt

from sympy import Point, Line

p1, p2, p3 = Point(0, 0), Point(2, 3), Point(-2, 2)
l1 = Line(p1, p2)
l2 = l1.perpendicular_line(p3)
p4 = l1.intersection(l2)[0]

print('Result 1:', p4)
print('Result 2:', p4.x)
print('Result 3:', p4[0])
print('Result 4:', float(p4.y))
print('Result 5:', float(p4[1]))

plt.plot([p1.x, p2.x], [p1.y, p2.y])
plt.plot(p3.x, p3.y, marker='o', color='red')
plt.plot(p4.x, p4.y, marker='o', color='blue')
#plt.show()
plt.savefig('preview.jpg')

Sympy_perpendicular_line_intersection.jpg

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