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X₁₇₁₉¶

MIMOSA TRANSFORM OF X₃₇

X₁₇₁₉ (MIMOSA TRANSFORM OF X₃₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1719 = MIMOSA TRANSFORM OF X_37."""

        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,
            spieker_center_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01719(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1719 = MIMOSA TRANSFORM OF X_37 on reference triangle ABC."""
            X_10 = spieker_center_of(model, A, B, C, ID="X_10", classes=["center"])
            X_191 = eval_trilinear_point(model, A, B, C, '(b + c - a)*(b*c + c*a + a*b) + b**(3) + c**(3) - a**(3)', ID="X_191", classes=["center"])
            X_46 = eval_trilinear_point(model, A, B, C, 'cos(B) + cos(C) - cos(A)', ID="X_46", classes=["center"])
            X_407 = point_from_barycentrics(model, A, B, C, 0.10813862, 0.19355731, 0.69830407, ID="X_407", classes=["center"])
            central_line(model, X_10, X_191, 10, 191)
            central_line(model, X_46, X_407, 46, 407)
            X_1719 = intersect_lines(model, X_10, X_191, X_46, X_407, ID="X_1719", classes=["selected", "target"])
            X_165 = eval_trilinear_point(model, A, B, C, 'tan(B/2) + tan(C/2) - tan(A/2)', ID="X_165", classes=["center", "incident"])
            X_846 = eval_trilinear_point(model, A, B, C, '(- a**(2) + b**(2) + c**(2) + b*c + c*a + a*b)', ID="X_846", classes=["center", "incident"])
            central_line(model, X_165, X_846, 165, 846, incident=True)
            return promote_point_to_top(model, X_1719)


        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_1719 on the given reference triangle."""
            model = create_model('X_1719 = MIMOSA TRANSFORM OF X_37')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01719(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-01719.json"))
            write_center_svg(
                model_acute,
                here / "x-01719.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1719¶

X₁₇₁₉¶