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X₁₇₆₆¶

MIMOSA TRANSFORM OF X₃₄₅

X₁₇₆₆ = reflection of X₉₉₀ in X₃

X₁₇₆₆ (MIMOSA TRANSFORM OF X₃₄₅) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1766 = MIMOSA TRANSFORM OF X_345."""

        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,
            circumcenter_of,
            construct_baseline_triangle,
            create_model,
            eval_trilinear_point,
            mittenpunkt_of,
            orthocenter_of,
            promote_point_to_top,
            reflection_in_point,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01766(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1766 = MIMOSA TRANSFORM OF X_345 on reference triangle ABC."""
            X_990 = eval_trilinear_point(model, A, B, C, '(a**(5) - a**(4)*(b + c) - 2*a**(3)*b*c - a*(b - c)**(2)*(b**(2) + c**(2)) + (b - c)**(2)*(b + c)**(3))', ID="X_990", classes=["center"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center"])
            X_1766 = reflection_in_point(model, X_990, X_3, ID="X_1766", classes=["selected", "target"], guide=False)
            X_4 = orthocenter_of(model, A, B, C, ID="X_4", classes=["center", "incident"])
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            central_line(model, X_4, X_9, 4, 9, incident=True)
            X_37 = eval_trilinear_point(model, A, B, C, 'b + c', ID="X_37", classes=["center", "incident"])
            central_line(model, X_3, X_37, 3, 37, incident=True)
            X_20 = eval_trilinear_point(model, A, B, C, 'cos(A) - cos(B)*cos(C)', ID="X_20", classes=["center", "incident"])
            X_346 = eval_trilinear_point(model, A, B, C, 'b*c*(b + c - a)**(2)', ID="X_346", classes=["center", "incident"])
            central_line(model, X_20, X_346, 20, 346, incident=True)
            return promote_point_to_top(model, X_1766)


        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_1766 on the given reference triangle."""
            model = create_model('X_1766 = MIMOSA TRANSFORM OF X_345')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01766(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-01766.json"))
            write_center_svg(
                model_acute,
                here / "x-01766.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1766¶

X₁₇₆₆¶