G.273 numbers proportional number — Code¶
If four numbers be proportional, the number produced from the first and fourth will equals the number produced from the second and third; and, if the number produced from the first and fourth equals that produced from the second and third, the four numbers is proportional.
"""Programmatic construction for Book VII, Proposition 19 (VII.19)."""
from __future__ import annotations
from geometor.model import Model
def construct_g1() -> Model:
"""Construct the figure 0325.g1 using geometor.model."""
model = Model("VII.19")
# Single-letter vertical number segments A, B, C, D, E, F, G
A_t = model.set_point(22.0, -33.0, classes=["given"], ID="A")
A_b = model.set_point(22.0, -155.0, ID="A_b")
B_t = model.set_point(46.0, -35.0, classes=["given"], ID="B")
B_b = model.set_point(46.0, -113.0, ID="B_b")
C_t = model.set_point(70.0, -34.0, classes=["given"], ID="C")
C_b = model.set_point(70.0, -127.0, ID="C_b")
D_t = model.set_point(96.0, -35.0, classes=["given"], ID="D")
D_b = model.set_point(96.0, -98.0, ID="D_b")
E_t = model.set_point(126.0, -37.0, classes=["given"], ID="E")
E_b = model.set_point(126.0, -189.0, ID="E_b")
F_t = model.set_point(154.0, -39.0, classes=["given"], ID="F")
F_b = model.set_point(154.0, -188.0, ID="F_b")
G_t = model.set_point(180.0, -10.0, classes=["given"], ID="G")
G_b = model.set_point(180.0, -237.0, ID="G_b")
# Number segments
model.set_segment(A_t, A_b)
model.set_segment(B_t, B_b)
model.set_segment(C_t, C_b)
model.set_segment(D_t, D_b)
model.set_segment(E_t, E_b)
model.set_segment(F_t, F_b)
model.set_segment(G_t, G_b)
return model
if __name__ == "__main__":
construct_g1()