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X₁₈₂₀¶

ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X₂₆₄

X₁₈₂₀ is the isogonal conjugate of mimosa transform of X₂₆₄.

X₁₈₂₀ (ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X₂₆₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1820 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X_264."""

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


        def construct_x_01820(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1820 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X_264 on reference triangle ABC."""
            X_1748 = eval_trilinear_point(model, A, B, C, 'cot(A) - tan(A)', ID="X_1748", classes=["center"])
            X_1820 = isogonal_conjugate(model, A, B, C, X_1748, ID="X_1820", classes=["selected", "target"])
            X_19 = eval_trilinear_point(model, A, B, C, 'tan(A)', ID="X_19", classes=["center", "incident"])
            X_91 = eval_trilinear_point(model, A, B, C, 'sec(2*A)', ID="X_91", classes=["center", "incident"])
            central_line(model, X_19, X_91, 19, 91, incident=True)
            X_68 = eval_trilinear_point(model, A, B, C, 'cos(A)*sec(2*A)', ID="X_68", classes=["center", "incident"])
            X_71 = eval_trilinear_point(model, A, B, C, '(b + c)*cos(A)', ID="X_71", classes=["center", "incident"])
            central_line(model, X_68, X_71, 68, 71, incident=True)
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center", "incident"])
            X_563 = eval_trilinear_point(model, A, B, C, 'sin(4*A)', ID="X_563", classes=["center", "incident"])
            central_line(model, X_1, X_563, 1, 563, incident=True)
            return promote_point_to_top(model, X_1820)


        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_1820 on the given reference triangle."""
            model = create_model('X_1820 = ISOGONAL CONJUGATE OF MIMOSA TRANSFORM OF X_264')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01820(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-01820.json"))
            write_center_svg(
                model_acute,
                here / "x-01820.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1820¶

X₁₈₂₀¶