G.223 mean proportional — Code¶
To two given segments to find a mean proportional.
"""Programmatic construction for Book VI, Proposition 13 (VI.13).
To two given straight lines to find a mean proportional.
"""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure for 0222.g1 (VI.13) using geometor.model."""
model = Model("VI.13")
# 1. Points
A = model.set_point(18.0, -101.0, classes=["given"], ID="A")
B = model.set_point(131.0, -101.0, classes=["given"], ID="B")
C = model.set_point(175.0, -101.0, classes=["given"], ID="C")
O = model.set_point(96.5, -101.0, ID="O")
D = model.set_point(131.0, -30.49, ID="D")
# 2. Circle / Semicircle
model.construct_circle(O, A)
# 3. Segments
model.set_segment(A, C)
model.set_segment(A, B)
model.set_segment(B, C)
model.set_segment(B, D)
model.set_segment(A, D)
model.set_segment(D, C)
# 4. Collinear Sections
model.set_section([A, B, C])
# 5. Polygons
model.set_polygon([A, D, C])
model.set_polygon([A, B, D])
model.set_polygon([D, B, C])
# 6. Angles / Wedges
model.set_wedge(D, A, A, C)
model.set_wedge(B, A, A, D)
model.set_wedge(B, C, C, D)
return model
if __name__ == "__main__":
construct_g1()