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X₃₉₆₄¶

X₁₆₀₉com[INVERSE(n(TANGENTIAL TRIANGLE))]

X₃₉₆₄ (X₁₆₀₉com[INVERSE(n(TANGENTIAL TRIANGLE))]) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3964 = X_1609com[INVERSE(n(TANGENTIAL TRIANGLE))]."""

        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,
            isotomic_conjugate,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03964(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3964 = X_1609com[INVERSE(n(TANGENTIAL TRIANGLE))] on reference triangle ABC."""
            X_1093 = point_from_barycentrics(model, A, B, C, 0.014812808, 0.040492805, 0.94469439, ID="X_1093", classes=["center"])
            X_3964 = isotomic_conjugate(model, A, B, C, X_1093, ID="X_3964", classes=["selected", "target"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center", "incident"])
            X_69 = eval_trilinear_point(model, A, B, C, '(cos(A))/a**(2)', ID="X_69", classes=["center", "incident"])
            central_line(model, X_3, X_69, 3, 69, incident=True)
            X_95 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)*sec(B - C)', ID="X_95", classes=["center", "incident"])
            X_183 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)*cos(A-  omega  )', ID="X_183", classes=["center", "incident"])
            central_line(model, X_95, X_183, 95, 183, incident=True)
            X_25 = eval_trilinear_point(model, A, B, C, 'sin(A)*tan(A)', ID="X_25", classes=["center", "incident"])
            X_317 = eval_trilinear_point(model, A, B, C, 'sec(A)*cos(2*A)*(csc(A))**(2)', ID="X_317", classes=["center", "incident"])
            central_line(model, X_25, X_317, 25, 317, incident=True)
            return promote_point_to_top(model, X_3964)


        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_3964 on the given reference triangle."""
            model = create_model('X_3964 = X_1609com[INVERSE(n(TANGENTIAL TRIANGLE))]')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03964(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-03964.json"))
            write_center_svg(
                model_acute,
                here / "x-03964.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3964¶

X₃₉₆₄¶