"""Programmatic construction for Book XI, Proposition 1 (XI.1)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0276.g1 using geometor.model."""
model = Model("XI.1")
# Points of the plane of reference (unlabelled boundary corners)
P1 = model.set_point(89.0, -24.0, classes=["plane_corner"])
P2 = model.set_point(145.0, -92.0, classes=["plane_corner"])
P3 = model.set_point(68.0, -184.0, classes=["plane_corner"])
P4 = model.set_point(11.0, -115.0, classes=["plane_corner"])
# Points A, B, C, D
A = model.set_point(52.0, -136.0, classes=["given"], ID="A")
B = model.set_point(78.0, -102.0, classes=["given"], ID="B")
D = model.set_point(104.0, -68.0, ID="D")
C = model.set_point(78.0, -14.0, classes=["given"], ID="C")
# Construction line ABD in the plane of reference
model.construct_line(A, D)
# Segments
model.set_segment(A, B)
model.set_segment(B, D)
model.set_segment(A, D)
model.set_segment(B, C)
# Plane boundary segments
model.set_segment(P1, P2)
model.set_segment(P2, P3)
model.set_segment(P3, P4)
model.set_segment(P4, P1)
# Sections / broken lines
model.set_section([A, B, D])
model.set_section([A, B, C])
# Plane polygon
model.set_polygon([P1, P2, P3, P4])
return model
if __name__ == "__main__":
construct_g1()
