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X₃₂₃₉¶

ISOGONAL CONJUGATE OF X₁₄₆₁

X₃₂₃₉ is the isogonal conjugate of X₁₄₆₁.

X₃₂₃₉ (ISOGONAL CONJUGATE OF X₁₄₆₁) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3239 = ISOGONAL CONJUGATE OF X_1461."""

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


        def construct_x_03239(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3239 = ISOGONAL CONJUGATE OF X_1461 on reference triangle ABC."""
            X_1461 = point_from_barycentrics(model, A, B, C, 0.13227513, -0.16931217, 1.037037, ID="X_1461", classes=["center"])
            X_3239 = isogonal_conjugate(model, A, B, C, X_1461, ID="X_3239", classes=["selected", "target"])
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_652 = eval_trilinear_point(model, A, B, C, 'sec(B) - sec(C)', ID="X_652", classes=["center", "incident"])
            central_line(model, X_9, X_652, 9, 652, incident=True)
            X_514 = eval_trilinear_point(model, A, B, C, '(b - c)/a', ID="X_514", classes=["center", "incident"])
            X_661 = eval_trilinear_point(model, A, B, C, 'cot(B) - cot(C)', ID="X_661", classes=["center", "incident"])
            central_line(model, X_514, X_661, 514, 661, incident=True)
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            X_1309 = eval_trilinear_point(model, A, B, C, '(csc(2*A))/(4*((sin(B))**(2) - (sin(C))**(2))*cos(B)*cos(C) + (sin(B))**(2)*cos(B) - (sin(C))**(2)*cos(C))', ID="X_1309", classes=["center", "incident"])
            central_line(model, X_101, X_1309, 101, 1309, incident=True)
            return promote_point_to_top(model, X_3239)


        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_3239 on the given reference triangle."""
            model = create_model('X_3239 = ISOGONAL CONJUGATE OF X_1461')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03239(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-03239.json"))
            write_center_svg(
                model_acute,
                here / "x-03239.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3239¶

X₃₂₃₉¶