G.243 extreme and mean ratio — Code¶
Cut a given segment in extreme and mean ratio.
"""Programmatic construction for Book VI, Proposition 30 (VI.30).
To cut a given finite straight line AB in extreme and mean ratio at E.
"""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure for 0273.g1 (VI.30) using geometor.model."""
model = Model("VI.30")
# 1. Points
A = model.set_point(27.0, -132.0, classes=["given"], ID="A")
B = model.set_point(129.0, -132.0, classes=["given"], ID="B")
C = model.set_point(27.0, -29.0, ID="C")
F = model.set_point(91.0, -29.0, ID="F")
H = model.set_point(129.0, -29.0, ID="H")
E = model.set_point(91.0, -132.0, ID="E")
G = model.set_point(27.0, -196.0, ID="G")
D = model.set_point(91.0, -196.0, ID="D")
# 2. Construction Lines
model.construct_line(A, B)
model.construct_line(C, G)
model.construct_line(F, D)
model.construct_line(C, H)
# 3. Segments
model.set_segment(A, E)
model.set_segment(E, B)
model.set_segment(A, B)
model.set_segment(C, F)
model.set_segment(F, H)
model.set_segment(C, H)
model.set_segment(G, D)
model.set_segment(C, A)
model.set_segment(A, G)
model.set_segment(C, G)
model.set_segment(F, E)
model.set_segment(E, D)
model.set_segment(F, D)
model.set_segment(H, B)
model.set_segment(B, C)
# 4. Collinear Sections
model.set_section([A, E, B])
model.set_section([C, F, H])
model.set_section([C, A, G])
model.set_section([F, E, D])
# 5. Polygons (Squares & Rectangles)
model.set_polygon([C, H, B, A]) # Square BC
model.set_polygon([C, F, D, G]) # Parallelogram CD
model.set_polygon([A, E, D, G]) # Square AD
model.set_polygon([C, F, E, A]) # Rectangle CE
model.set_polygon([F, H, B, E]) # Remainder BF
return model
if __name__ == "__main__":
construct_g1()