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X₁₈₁₅¶

INVERSE MIMOSA TRANSFORM OF X₉₁₀

X₁₈₁₅ (INVERSE MIMOSA TRANSFORM OF X₉₁₀) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1815 = INVERSE MIMOSA TRANSFORM OF X_910."""

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


        def construct_x_01815(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1815 = INVERSE MIMOSA TRANSFORM OF X_910 on reference triangle ABC."""
            X_1815 = eval_trilinear_point(model, A, B, C, '(cot(A))/(a**(2) - b**(2)*cos(C) - c**(2)*cos(B))', ID="X_1815", classes=["selected", "target"])
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_77 = eval_trilinear_point(model, A, B, C, '1/(1 + sec(A))', ID="X_77", classes=["center", "incident"])
            central_line(model, X_9, X_77, 9, 77, incident=True)
            X_103 = eval_trilinear_point(model, A, B, C, 'a/((a - b)*cot(C) + (a - c)*cot(B))', ID="X_103", classes=["center", "incident"])
            X_110 = eval_trilinear_point(model, A, B, C, 'csc(B - C)', ID="X_110", classes=["center", "incident"])
            central_line(model, X_103, X_110, 103, 110, incident=True)
            X_86 = eval_trilinear_point(model, A, B, C, 'b*c/(b + c)', ID="X_86", classes=["center", "incident"])
            X_648 = eval_trilinear_point(model, A, B, C, '1/(a*(b**(2) - c**(2))*(b**(2) + c**(2) - a**(2)))', ID="X_648", classes=["center", "incident"])
            central_line(model, X_86, X_648, 86, 648, incident=True)
            return promote_point_to_top(model, X_1815)


        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_1815 on the given reference triangle."""
            model = create_model('X_1815 = INVERSE MIMOSA TRANSFORM OF X_910')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01815(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-01815.json"))
            write_center_svg(
                model_acute,
                here / "x-01815.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1815¶

X₁₈₁₅¶