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X₃₁₇₀¶

X₆-CEVA CONJUGATE OF X₁₅

X₃₁₇₀ (X₆-CEVA CONJUGATE OF X₁₅) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3170 = X_6-CEVA CONJUGATE OF X_15."""

        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,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03170(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3170 = X_6-CEVA CONJUGATE OF X_15 on reference triangle ABC."""
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center"])
            X_15 = eval_trilinear_point(model, A, B, C, 'sin(A +  pi  /3)', ID="X_15", classes=["center"])
            X_3170 = ceva_conjugate(model, A, B, C, X_6, X_15, ID="X_3170", classes=["selected", "target"])
            X_16 = eval_trilinear_point(model, A, B, C, 'sin(A-  pi  /3)', ID="X_16", classes=["center", "incident"])
            X_184 = eval_trilinear_point(model, A, B, C, 'a**(2)*cos(A)', ID="X_184", classes=["center", "incident"])
            central_line(model, X_16, X_184, 16, 184, incident=True)
            X_323 = eval_trilinear_point(model, A, B, C, 'sin(3*A)*(csc(A))**(2)', ID="X_323", classes=["center", "incident"])
            central_line(model, X_15, X_323, 15, 323, incident=True)
            X_202 = eval_trilinear_point(model, A, B, C, '1 - cos(A +  pi  /3)', ID="X_202", classes=["center", "incident"])
            X_2308 = eval_trilinear_point(model, A, B, C, '1 - cos(2*A) + (1 + cos(A))*(cos(B) + cos(C))', ID="X_2308", classes=["center", "incident"])
            central_line(model, X_202, X_2308, 202, 2308, incident=True)
            return promote_point_to_top(model, X_3170)


        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_3170 on the given reference triangle."""
            model = create_model('X_3170 = X_6-CEVA CONJUGATE OF X_15')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03170(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-03170.json"))
            write_center_svg(
                model_acute,
                here / "x-03170.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3170¶

X₃₁₇₀¶