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X₁₃₉₁¶

ISOGONAL CONJUGATE OF X₁₃₈₇

X₁₃₉₁ is the isogonal conjugate of X₁₃₈₇.

X₁₃₉₁ (ISOGONAL CONJUGATE OF X₁₃₈₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1391 = ISOGONAL CONJUGATE OF X_1387."""

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


        def construct_x_01391(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1391 = ISOGONAL CONJUGATE OF X_1387 on reference triangle ABC."""
            X_1387 = point_from_barycentrics(model, A, B, C, 0.25, 0.5, 0.25, ID="X_1387", classes=["center"])
            X_1391 = isogonal_conjugate(model, A, B, C, X_1387, ID="X_1391", classes=["selected", "target"])
            X_517 = eval_trilinear_point(model, A, B, C, '-1 + cos(B) + cos(C)', ID="X_517", classes=["center", "incident"])
            X_1443 = eval_trilinear_point(model, A, B, C, '((1 - 2*cos(A))/(1 + cos(A)))', ID="X_1443", classes=["center", "incident"])
            central_line(model, X_517, X_1443, 517, 1443, incident=True)
            return promote_point_to_top(model, X_1391)


        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_1391 on the given reference triangle."""
            model = create_model('X_1391 = ISOGONAL CONJUGATE OF X_1387')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01391(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-01391.json"))
            write_center_svg(
                model_acute,
                here / "x-01391.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1391¶

X₁₃₉₁¶