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X₃₉₈₉¶

X₁₉₆₂com(INCENTRAL TRIANGLE)

X₃₉₈₉ (X₁₉₆₂com(INCENTRAL TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3989 = X_1962com(INCENTRAL TRIANGLE)."""

        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,
            centroid_of,
            construct_baseline_triangle,
            create_model,
            eval_barycentric_point,
            eval_trilinear_point,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03989(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3989 = X_1962com(INCENTRAL TRIANGLE) on reference triangle ABC."""
            X_3989 = eval_barycentric_point(model, A, B, C, '(a*(2*b**(2) + 2*c**(2) + a*b + a*c + 2*b*c))', ID="X_3989", classes=["selected", "target"])
            X_37 = eval_trilinear_point(model, A, B, C, 'b + c', ID="X_37", classes=["center", "incident"])
            X_38 = eval_trilinear_point(model, A, B, C, 'b**(2) + c**(2)', ID="X_38", classes=["center", "incident"])
            central_line(model, X_37, X_38, 37, 38, incident=True)
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_726 = eval_trilinear_point(model, A, B, C, '(a **(-3)*(b **(-1) + c **(-1)) - a **(-2)*(b **(-2) + c **(-2)))', ID="X_726", classes=["center", "incident"])
            central_line(model, X_2, X_726, 2, 726, incident=True)
            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_612 = eval_trilinear_point(model, A, B, C, 'a**(2) + b**(2) + c**(2) + 2*b*c', ID="X_612", classes=["center", "incident"])
            central_line(model, X_165, X_612, 165, 612, incident=True)
            return promote_point_to_top(model, X_3989)


        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_3989 on the given reference triangle."""
            model = create_model('X_3989 = X_1962com(INCENTRAL TRIANGLE)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03989(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-03989.json"))
            write_center_svg(
                model_acute,
                here / "x-03989.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3989¶

X₃₉₈₉¶