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X₂₆₁¶

ISOTOMIC CONJUGATE OF X₁₂

X₂₆₁ (ISOTOMIC CONJUGATE OF X₁₂) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_261 = ISOTOMIC CONJUGATE OF X_12."""

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


        def construct_x_00261(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_261 = ISOTOMIC CONJUGATE OF X_12 on reference triangle ABC."""
            X_181 = eval_trilinear_point(model, A, B, C, 'a*(b + c)**(2)/(b + c - a)', ID="X_181", classes=["center"])
            X_261 = isogonal_conjugate(model, A, B, C, X_181, ID="X_261", classes=["selected", "target"])
            X_58 = eval_trilinear_point(model, A, B, C, 'a/(b + c)', ID="X_58", classes=["center", "incident"])
            X_86 = eval_trilinear_point(model, A, B, C, 'b*c/(b + c)', ID="X_86", classes=["center", "incident"])
            central_line(model, X_58, X_86, 58, 86, incident=True)
            X_75 = eval_trilinear_point(model, A, B, C, '1/a**(2)', ID="X_75", classes=["center", "incident"])
            X_99 = eval_trilinear_point(model, A, B, C, 'b*c/(b**(2) - c**(2))', ID="X_99", classes=["center", "incident"])
            central_line(model, X_75, X_99, 75, 99, incident=True)
            X_28 = eval_trilinear_point(model, A, B, C, '(tan(A))/(b + c)', ID="X_28", classes=["center", "incident"])
            X_242 = eval_trilinear_point(model, A, B, C, '((sec(A))*((sin(A))**(2) - sin(B)*sin(C)))', ID="X_242", classes=["center", "incident"])
            central_line(model, X_28, X_242, 28, 242, incident=True)
            return promote_point_to_top(model, X_261)


        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_261 on the given reference triangle."""
            model = create_model('X_261 = ISOTOMIC CONJUGATE OF X_12')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00261(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-00261.json"))
            write_center_svg(
                model_acute,
                here / "x-00261.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X261¶

X₂₆₁¶