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X₁₉₈₃¶

VEGA TRANSFORM OF X₅₂₃

X₁₉₈₃ (VEGA TRANSFORM OF X₅₂₃) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1983 = VEGA TRANSFORM OF X_523."""

        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,
            crosspoint,
            eval_trilinear_point,
            point_from_barycentrics,
            promote_point_to_top,
            symmedian_point_of,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01983(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1983 = VEGA TRANSFORM OF X_523 on reference triangle ABC."""
            X_651 = eval_trilinear_point(model, A, B, C, '1/(cos(B) - cos(C))', ID="X_651", classes=["center"])
            X_1290 = point_from_barycentrics(model, A, B, C, -0.096774194, 0.87096774, 0.22580645, ID="X_1290", classes=["center"])
            X_1983 = crosspoint(model, A, B, C, X_651, X_1290, ID="X_1983", classes=["selected", "target"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", classes=["center", "incident"])
            X_6 = symmedian_point_of(model, A, B, C, ID="X_6", classes=["center", "incident"])
            central_line(model, X_3, X_6, 3, 6, incident=True)
            X_101 = eval_trilinear_point(model, A, B, C, 'a/(b - c)', ID="X_101", classes=["center", "incident"])
            X_109 = eval_trilinear_point(model, A, B, C, 'a/(cos(B) - cos(C))', ID="X_109", classes=["center", "incident"])
            central_line(model, X_101, X_109, 101, 109, incident=True)
            X_919 = point_from_barycentrics(model, A, B, C, -0.11560694, 0.83236994, 0.28323699, ID="X_919", classes=["center", "incident"])
            X_1027 = eval_trilinear_point(model, A, B, C, '((b - c)/(b**(2) + c**(2) - a*(b + c)))', ID="X_1027", classes=["center", "incident"])
            central_line(model, X_919, X_1027, 919, 1027, incident=True)
            return promote_point_to_top(model, X_1983)


        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_1983 on the given reference triangle."""
            model = create_model('X_1983 = VEGA TRANSFORM OF X_523')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01983(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-01983.json"))
            write_center_svg(
                model_acute,
                here / "x-01983.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1983¶

X₁₉₈₃¶