"""Programmatic construction for Book XI, Proposition 2 (XI.2)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0278.g1 using geometor.model."""
model = Model("XI.2")
# Endpoints of intersecting straight lines AB and CD
A = model.set_point(55.0, -14.0, classes=["given"], ID="A")
B = model.set_point(199.0, -169.0, classes=["given"], ID="B")
C = model.set_point(13.0, -167.0, classes=["given"], ID="C")
D = model.set_point(173.0, -23.0, classes=["given"], ID="D")
# Intersection point E of AB and CD
E = model.set_point(113.21, -76.66, ID="E")
# Random points F on EC, G on EB, and H, K on CB
F = model.set_point(69.1, -116.5, ID="F")
G = model.set_point(160.4, -127.4, ID="G")
H = model.set_point(82.0, -167.8, ID="H")
K = model.set_point(146.0, -168.4, ID="K")
# Construction lines
model.construct_line(A, B)
model.construct_line(C, D)
model.construct_line(C, B)
# Segments along AB
model.set_segment(A, B)
model.set_segment(A, E)
model.set_segment(E, B)
model.set_segment(E, G)
model.set_segment(G, B)
# Segments along CD
model.set_segment(C, D)
model.set_segment(D, E)
model.set_segment(E, C)
model.set_segment(E, F)
model.set_segment(F, C)
# Segments along CB and interior
model.set_segment(C, B)
model.set_segment(C, H)
model.set_segment(H, K)
model.set_segment(K, B)
model.set_segment(F, G)
model.set_segment(F, H)
model.set_segment(G, K)
model.set_segment(A, D)
# Sections
model.set_section([A, E, B])
model.set_section([C, E, D])
model.set_section([E, F, C])
model.set_section([E, G, B])
# Polygons (triangles and quadrilateral)
model.set_polygon([E, C, B])
model.set_polygon([F, H, C])
model.set_polygon([G, B, K])
model.set_polygon([F, C, B, G])
model.set_polygon([E, F, G])
model.set_polygon([F, H, K, G])
model.set_polygon([A, E, D])
return model
if __name__ == "__main__":
construct_g1()
