G.258 number parts number — Code¶
If a number be parts of a number, and another be the same parts of another, the sum is the same parts of the sum that the one is of the one.
"""Programmatic construction for Book VII, Proposition 6 (VII.6)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0311.g1 using geometor.model."""
model = Model("VII.6")
# Vertical number segment AB (divided at G)
A = model.set_point(12.0, -47.0, classes=["given"], ID="A")
G = model.set_point(12.0, -83.5, ID="G")
B = model.set_point(12.0, -120.0, classes=["given"], ID="B")
# Single-letter vertical number segment C
C_t = model.set_point(42.0, -10.0, classes=["given"], ID="C")
C_b = model.set_point(42.0, -120.0, ID="C_b")
# Vertical number segment DE (divided at H)
D = model.set_point(98.0, -64.0, classes=["given"], ID="D")
H = model.set_point(98.0, -91.5, ID="H")
E = model.set_point(98.0, -119.0, classes=["given"], ID="E")
# Single-letter vertical number segment F
F_t = model.set_point(129.0, -32.0, classes=["given"], ID="F")
F_b = model.set_point(129.0, -120.0, ID="F_b")
# Base lines
model.construct_line(A, B)
model.construct_line(D, E)
# Whole and subdivided segments
model.set_segment(A, B)
model.set_segment(A, G)
model.set_segment(G, B)
model.set_segment(C_t, C_b)
model.set_segment(D, E)
model.set_segment(D, H)
model.set_segment(H, E)
model.set_segment(F_t, F_b)
# Collinear sections
model.set_section([A, G, B])
model.set_section([D, H, E])
return model
if __name__ == "__main__":
construct_g1()