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X₃₀₉¶

ISOTOMIC CONJUGATE OF X₄₀

X₃₀₉ (ISOTOMIC CONJUGATE OF X₄₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_309 = ISOTOMIC CONJUGATE OF X_40."""

        from __future__ import annotations

        from pathlib import Path

        import sympy.geometry as spg
        from geometor.model import Model

        from geometor.etc.ops import (
            central_line,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_00309(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_309 = ISOTOMIC CONJUGATE OF X_40 on reference triangle ABC."""
            X_309 = eval_trilinear_point(model, A, B, C, '((csc(A))**(2))/(-1 - cos(A) + cos(B) + cos(C))', ID="X_309", classes=["selected", "target"])
            X_69 = eval_trilinear_point(model, A, B, C, '(cos(A))/a**(2)', ID="X_69", classes=["center", "incident"])
            X_189 = eval_trilinear_point(model, A, B, C, 'b*c/(cos(B) + cos(C) - cos(A) - 1)', ID="X_189", classes=["center", "incident"])
            central_line(model, X_69, X_189, 69, 189, incident=True)
            X_85 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)/(b + c - a)', ID="X_85", classes=["center", "incident"])
            X_264 = eval_trilinear_point(model, A, B, C, 'csc(A)*csc(2*A)', ID="X_264", classes=["center", "incident"])
            central_line(model, X_85, X_264, 85, 264, incident=True)
            X_75 = eval_trilinear_point(model, A, B, C, '1/a**(2)', ID="X_75", classes=["center", "incident"])
            X_280 = eval_trilinear_point(model, A, B, C, '((csc(A/2))**(2))/(-1 - cos(A) + cos(B) + cos(C))', ID="X_280", classes=["center", "incident"])
            central_line(model, X_75, X_280, 75, 280, incident=True)
            return promote_point_to_top(model, X_309)


        def build_model(
            sides: tuple[float, float, float] = (5.0, 6.0, 7.0),
            show_guides: bool = False,
        ) -> Model:
            """Build a `geometor.model.Model` for X_309 on the given reference triangle."""
            model = create_model('X_309 = ISOTOMIC CONJUGATE OF X_40')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00309(model, A, B, C)
            return model


        if __name__ == "__main__":
            here = Path(__file__).resolve().parent
            model_acute = build_model((5.0, 6.0, 7.0))
            model_acute.save(str(here / "x-00309.json"))
            write_center_svg(
                model_acute,
                here / "x-00309.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X309¶

X₃₀₉¶