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X₁₄₆₆¶

X₉₃₆-BETH CONJUGATE OF X₉₃₆

X₁₄₆₆ = {X₁,X₅₇}-harmonic conjugate of X₃₇₅₆₆

X₁₄₆₆ (X₉₃₆-BETH CONJUGATE OF X₉₃₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1466 = X_936-BETH CONJUGATE OF X_936."""

        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,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            gergonne_point_of,
            incenter_of,
            intersect_lines,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01466(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1466 = X_936-BETH CONJUGATE OF X_936 on reference triangle ABC."""
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_7 = gergonne_point_of(model, A, B, C, ID="X_7", classes=["center"])
            X_404 = eval_trilinear_point(model, A, B, C, '(b*c*(a + b + c) - a*(b**(2) + c**(2) - a**(2)))', ID="X_404", classes=["center"])
            central_line(model, X_1, X_3, 1, 3)
            central_line(model, X_7, X_404, 7, 404)
            X_1466 = intersect_lines(model, X_1, X_3, X_7, X_404, ID="X_1466", classes=["selected", "target"])
            X_12 = eval_trilinear_point(model, A, B, C, '1 + cos(B - C)', ID="X_12", classes=["center", "incident"])
            X_443 = point_from_barycentrics(model, A, B, C, 0.31907571, 0.32448378, 0.35644051, ID="X_443", classes=["center", "incident"])
            central_line(model, X_12, X_443, 12, 443, incident=True)
            return promote_point_to_top(model, X_1466)


        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_1466 on the given reference triangle."""
            model = create_model('X_1466 = X_936-BETH CONJUGATE OF X_936')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01466(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-01466.json"))
            write_center_svg(
                model_acute,
                here / "x-01466.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1466¶

X₁₄₆₆¶