"""Programmatic construction for Book V, Proposition 18 (V.18)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0175.g1 (Book V, Prop. 18 subdivided magnitudes AB and CD)."""
model = Model("V.18")
# Top magnitude AB subdivided at E
A = model.set_point(17.00, -26.00, classes=["given"], ID="A")
E = model.set_point(94.00, -26.00, classes=["given"], ID="E")
B = model.set_point(138.00, -26.00, classes=["given"], ID="B")
model.set_segment(A, B)
model.set_segment(A, E)
model.set_segment(E, B)
model.set_section([A, E, B])
# Bottom magnitude CD subdivided at F and G
C = model.set_point(17.00, -54.00, classes=["given"], ID="C")
F = model.set_point(170.00, -54.00, classes=["given"], ID="F")
G = model.set_point(191.00, -54.00, ID="G")
D = model.set_point(260.00, -54.00, classes=["given"], ID="D")
model.set_segment(C, D)
model.set_segment(C, F)
model.set_segment(C, G)
model.set_segment(F, D)
model.set_segment(G, D)
model.set_segment(F, G)
model.set_section([C, F, D])
model.set_section([C, G, D])
return model
if __name__ == "__main__":
construct_g1()
