G.394 rational area applied — Code¶
If a rational area be applied to a rational segment, it produces as breadth a segment rational and commensurable in length with the segment to which it is applied.
"""Programmatic construction for Book X, Proposition 20 (X.20)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0053.g1 using geometor.model."""
model = Model("X.20")
# Vertices of square AD (A, B, D, D_r) and rectangle AC (A, B, C, C_r)
D = model.set_point(26.0, -15.5, ID="D")
B = model.set_point(26.0, -88.5, classes=["given"], ID="B")
C = model.set_point(26.0, -180.0, classes=["given"], ID="C")
A = model.set_point(97.0, -88.5, classes=["given"], ID="A")
D_r = model.set_point(97.0, -15.5, ID="D_r")
C_r = model.set_point(97.0, -180.0, ID="C_r")
# Base lines
model.construct_line(D, C)
model.construct_line(D_r, C_r)
model.construct_line(D, D_r)
model.construct_line(B, A)
model.construct_line(C, C_r)
# Segments
model.set_segment(A, B)
model.set_segment(B, C)
model.set_segment(D, B)
model.set_segment(D, C)
model.set_segment(D, D_r)
model.set_segment(C, C_r)
model.set_segment(D_r, A)
model.set_segment(A, C_r)
model.set_segment(D_r, C_r)
# Collinear section on DC
model.set_section([D, B, C])
# Polygons: square AD and rectangle AC
model.set_polygon([A, B, D, D_r])
model.set_polygon([A, B, C, C_r])
model.set_polygon([D, C, C_r, D_r])
return model
if __name__ == "__main__":
construct_g1()