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X₁₄₂₈¶

X₂₃₈-BETH CONJUGATE OF X₂₃₈

X₁₄₂₈ (X₂₃₈-BETH CONJUGATE OF X₂₃₈) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1428 = X_238-BETH CONJUGATE OF X_238."""

        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,
            ceva_conjugate,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            incenter_of,
            point_from_barycentrics,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01428(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1428 = X_238-BETH CONJUGATE OF X_238 on reference triangle ABC."""
            X_1416 = point_from_barycentrics(model, A, B, C, 0.065359477, 1.254902, -0.32026144, ID="X_1416", classes=["center"])
            X_56 = eval_trilinear_point(model, A, B, C, 'a/(b + c - a)', ID="X_56", classes=["center"])
            X_1428 = ceva_conjugate(model, A, B, C, X_1416, X_56, ID="X_1428", classes=["selected", "target"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            X_41 = eval_trilinear_point(model, A, B, C, 'a**(2)*(b + c - a)', ID="X_41", classes=["center", "incident"])
            central_line(model, X_6, X_41, 6, 41, incident=True)
            X_65 = eval_trilinear_point(model, A, B, C, 'cos(B) + cos(C)', ID="X_65", classes=["center", "incident"])
            X_82 = eval_trilinear_point(model, A, B, C, '1/(b**(2) + c**(2))', ID="X_82", classes=["center", "incident"])
            central_line(model, X_65, X_82, 65, 82, incident=True)
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center", "incident"])
            X_182 = eval_trilinear_point(model, A, B, C, 'cos(A-  omega  )', ID="X_182", classes=["center", "incident"])
            central_line(model, X_1, X_182, 1, 182, incident=True)
            return promote_point_to_top(model, X_1428)


        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_1428 on the given reference triangle."""
            model = create_model('X_1428 = X_238-BETH CONJUGATE OF X_238')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01428(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-01428.json"))
            write_center_svg(
                model_acute,
                here / "x-01428.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1428¶

X₁₄₂₈¶