G.160 inscribe a circle in a square — Code¶
Inscribe a circle in a given square.
"""Programmatic construction for Book IV, Proposition 8 (IV.8)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0100.g1 using geometor.model."""
model = Model("IV.8")
# Points (y-inverted for standard mathematical coordinates)
A = model.set_point(26.00, -29.00, classes=["given"], ID="A")
B = model.set_point(26.00, -169.00, classes=["given"], ID="B")
C = model.set_point(166.00, -169.00, classes=["given"], ID="C")
D = model.set_point(166.00, -29.00, classes=["given"], ID="D")
E = model.set_point(96.00, -29.00, ID="E")
F = model.set_point(26.00, -99.00, ID="F")
G = model.set_point(96.00, -99.00, ID="G")
H = model.set_point(96.00, -169.00, ID="H")
K = model.set_point(166.00, -99.00, ID="K")
# Inscribed circle EFHK
model.construct_circle(G, E)
# Construction lines
model.construct_line(E, H)
model.construct_line(F, K)
# Segments
model.set_segment(A, B)
model.set_segment(B, C)
model.set_segment(C, D)
model.set_segment(D, A)
model.set_segment(E, H)
model.set_segment(F, K)
model.set_segment(A, E)
model.set_segment(E, D)
model.set_segment(A, F)
model.set_segment(F, B)
model.set_segment(B, H)
model.set_segment(H, C)
model.set_segment(C, K)
model.set_segment(K, D)
model.set_segment(G, E)
model.set_segment(G, F)
model.set_segment(G, H)
model.set_segment(G, K)
# Collinear sections
model.set_section([A, E, D])
model.set_section([A, F, B])
model.set_section([B, H, C])
model.set_section([D, K, C])
model.set_section([E, G, H])
model.set_section([F, G, K])
# Polygons (square and sub-parallelograms)
model.set_polygon([A, B, C, D])
model.set_polygon([A, F, K, D])
model.set_polygon([F, B, C, K])
model.set_polygon([A, B, H, E])
model.set_polygon([E, H, C, D])
model.set_polygon([A, F, G, E])
model.set_polygon([G, H, C, K])
model.set_polygon([F, B, H, G])
model.set_polygon([E, G, K, D])
return model
if __name__ == "__main__":
construct_g1()