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X₂₁₁₇¶

X₂-ISOCONJUGATE OF X₂₁₁₆

X₂₁₁₇ (X₂-ISOCONJUGATE OF X₂₁₁₆) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2117 = X_2-ISOCONJUGATE OF X_2116."""

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


        def construct_x_02117(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2117 = X_2-ISOCONJUGATE OF X_2116 on reference triangle ABC."""
            X_238 = eval_trilinear_point(model, A, B, C, 'a**(2) - b*c', ID="X_238", classes=["center"])
            X_2116 = point_from_barycentrics(model, A, B, C, 0.43264106, -0.77002375, 1.3373827, ID="X_2116", classes=["center"])
            X_672 = eval_trilinear_point(model, A, B, C, 'a*(b**(2) + c**(2) - a*(b + c))', ID="X_672", classes=["center"])
            X_2110 = eval_trilinear_point(model, A, B, C, '(a*((b**(2) + b*c + c**(2))*a**(3) - (b + c)*(b**(2) + c**(2))*a**(2) - b*c*(b**(2) - b*c + c**(2))*a + b**(2)*c**(2)*(b + c)))', ID="X_2110", classes=["center"])
            central_line(model, X_238, X_2116, 238, 2116)
            central_line(model, X_672, X_2110, 672, 2110)
            X_2117 = intersect_lines(model, X_238, X_2116, X_672, X_2110, ID="X_2117", classes=["selected", "target"])
            X_2106 = eval_trilinear_point(model, A, B, C, '((a + b)*(a + c)*(b**(2)*c**(2) - a**(2)*b**(2) - a**(2)*c**(2) + a*b*c*(b + c - a)))', ID="X_2106", classes=["center", "incident"])
            X_2114 = point_from_barycentrics(model, A, B, C, 0.30214425, -0.63937622, 1.337232, ID="X_2114", classes=["center", "incident"])
            central_line(model, X_2106, X_2114, 2106, 2114, incident=True)
            return promote_point_to_top(model, X_2117)


        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_2117 on the given reference triangle."""
            model = create_model('X_2117 = X_2-ISOCONJUGATE OF X_2116')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02117(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-02117.json"))
            write_center_svg(
                model_acute,
                here / "x-02117.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2117¶

X₂₁₁₇¶