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X₃₁₂₃¶

DANNEELS PERSPECTOR FOR X₄₃

X₃₁₂₃ (DANNEELS PERSPECTOR FOR X₄₃) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3123 = DANNEELS PERSPECTOR FOR X_43."""

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


        def construct_x_03123(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3123 = DANNEELS PERSPECTOR FOR X_43 on reference triangle ABC."""
            X_75 = eval_trilinear_point(model, A, B, C, '1/a**(2)', ID="X_75", classes=["center"])
            X_513 = eval_trilinear_point(model, A, B, C, 'b - c', ID="X_513", classes=["center"])
            X_3123 = crosspoint(model, A, B, C, X_75, X_513, ID="X_3123", classes=["selected", "target"])
            X_11 = feuerbach_point_of(model, A, B, C, ID="X_11", classes=["center", "incident"])
            X_244 = eval_trilinear_point(model, A, B, C, '(b - c)**(2)', ID="X_244", classes=["center", "incident"])
            central_line(model, X_11, X_244, 11, 244, incident=True)
            X_38 = eval_trilinear_point(model, A, B, C, 'b**(2) + c**(2)', ID="X_38", classes=["center", "incident"])
            X_1227 = point_from_barycentrics(model, A, B, C, 0.58333333, 1.8875832e-16, 0.41666667, ID="X_1227", classes=["center", "incident"])
            central_line(model, X_38, X_1227, 38, 1227, incident=True)
            X_31 = eval_trilinear_point(model, A, B, C, 'a**(2)', ID="X_31", classes=["center", "incident"])
            X_1633 = eval_trilinear_point(model, A, B, C, '((a**(2) + b**(2) + c**(2) - 2*b*c)/(b - c))', ID="X_1633", classes=["center", "incident"])
            central_line(model, X_31, X_1633, 31, 1633, incident=True)
            return promote_point_to_top(model, X_3123)


        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_3123 on the given reference triangle."""
            model = create_model('X_3123 = DANNEELS PERSPECTOR FOR X_43')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03123(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-03123.json"))
            write_center_svg(
                model_acute,
                here / "x-03123.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3123¶

X₃₁₂₃¶