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X₂₈₀₁¶

ISOGONAL CONJUGATE OF X₂₇₁₇

X₂₈₀₁ is the isogonal conjugate of X₂₇₁₇.

X₂₈₀₁ (ISOGONAL CONJUGATE OF X₂₇₁₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_2801 = ISOGONAL CONJUGATE OF X_2717."""

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


        def construct_x_02801(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_2801 = ISOGONAL CONJUGATE OF X_2717 on reference triangle ABC."""
            X_2717 = point_from_barycentrics(model, A, B, C, 0.9375, -0.125, 0.1875, ID="X_2717", classes=["center"])
            X_2801 = isogonal_conjugate(model, A, B, C, X_2717, ID="X_2801", classes=["selected", "target"])
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_48 = eval_trilinear_point(model, A, B, C, 'tan(B) + tan(C)', ID="X_48", classes=["center", "incident"])
            central_line(model, X_9, X_48, 9, 48, incident=True)
            X_7 = gergonne_point_of(model, A, B, C, ID="X_7", classes=["center", "incident"])
            X_80 = eval_trilinear_point(model, A, B, C, '1/(1 - 2*cos(A))', ID="X_80", classes=["center", "incident"])
            central_line(model, X_7, X_80, 7, 80, incident=True)
            X_11 = feuerbach_point_of(model, A, B, C, ID="X_11", classes=["center", "incident"])
            X_118 = point_from_barycentrics(model, A, B, C, 0.28918651, -0.056547619, 0.76736111, ID="X_118", classes=["center", "incident"])
            central_line(model, X_11, X_118, 11, 118, incident=True)
            return promote_point_to_top(model, X_2801)


        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_2801 on the given reference triangle."""
            model = create_model('X_2801 = ISOGONAL CONJUGATE OF X_2717')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_02801(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-02801.json"))
            write_center_svg(
                model_acute,
                here / "x-02801.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X2801¶

X₂₈₀₁¶