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X₁₇₈₆¶

MIMOSA TRANSFORM OF X₁₄₄₂

X₁₇₈₆ (MIMOSA TRANSFORM OF X₁₄₄₂) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1786 = MIMOSA TRANSFORM OF X_1442."""

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


        def construct_x_01786(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1786 = MIMOSA TRANSFORM OF X_1442 on reference triangle ABC."""
            X_33 = eval_trilinear_point(model, A, B, C, '1 + sec(A)', ID="X_33", classes=["center"])
            X_46 = eval_trilinear_point(model, A, B, C, 'cos(B) + cos(C) - cos(A)', ID="X_46", classes=["center"])
            X_57 = eval_trilinear_point(model, A, B, C, '1/(b + c - a)', ID="X_57", classes=["center"])
            X_77 = eval_trilinear_point(model, A, B, C, '1/(1 + sec(A))', ID="X_77", classes=["center"])
            central_line(model, X_33, X_46, 33, 46)
            central_line(model, X_57, X_77, 57, 77)
            X_1786 = intersect_lines(model, X_33, X_46, X_57, X_77, ID="X_1786", classes=["selected", "target"])
            X_1730 = point_from_barycentrics(model, A, B, C, 0.060349255, 0.20441705, 0.73523369, ID="X_1730", classes=["center", "incident"])
            X_1787 = point_from_barycentrics(model, A, B, C, 0.40772532, -0.54935622, 1.1416309, ID="X_1787", classes=["center", "incident"])
            central_line(model, X_1730, X_1787, 1730, 1787, incident=True)
            return promote_point_to_top(model, X_1786)


        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_1786 on the given reference triangle."""
            model = create_model('X_1786 = MIMOSA TRANSFORM OF X_1442')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01786(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-01786.json"))
            write_center_svg(
                model_acute,
                here / "x-01786.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1786¶

X₁₇₈₆¶