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X₃₃₁₈¶

INCIRCLE TRANSFORM T(X₆₀₃)

X₃₃₁₈ = reflection of X₁₃₅₉ in X₁

X₃₃₁₈ (INCIRCLE TRANSFORM T(X₆₀₃)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3318 = INCIRCLE TRANSFORM T(X_603)."""

        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,
            feuerbach_point_of,
            incenter_of,
            point_from_barycentrics,
            promote_point_to_top,
            reflection_in_point,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03318(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3318 = INCIRCLE TRANSFORM T(X_603) on reference triangle ABC."""
            X_1359 = point_from_barycentrics(model, A, B, C, 0.11264368, 0.11034483, 0.77701149, ID="X_1359", classes=["center"])
            X_1 = incenter_of(model, A, B, C, ID="X_1", classes=["center"])
            X_3318 = reflection_in_point(model, X_1359, X_1, ID="X_3318", classes=["selected", "target"], guide=False)
            X_11 = feuerbach_point_of(model, A, B, C, ID="X_11", classes=["center", "incident"])
            X_123 = eval_trilinear_point(model, A, B, C, '(csc(A))*(sec(B) - sec(C))*((sec(A))*((sin(B))**(2) - (sin(C))**(2)) + sin(C)*tan(C) - sin(B)*tan(B))', ID="X_123", classes=["center", "incident"])
            central_line(model, X_11, X_123, 11, 123, incident=True)
            X_55 = eval_trilinear_point(model, A, B, C, 'a*(b + c - a)', ID="X_55", classes=["center", "incident"])
            X_108 = eval_trilinear_point(model, A, B, C, 'a/(sec(B) - sec(C))', ID="X_108", classes=["center", "incident"])
            central_line(model, X_55, X_108, 55, 108, incident=True)
            X_56 = eval_trilinear_point(model, A, B, C, 'a/(b + c - a)', ID="X_56", classes=["center", "incident"])
            X_1295 = point_from_barycentrics(model, A, B, C, 0.79525862, 0.88362069, -0.67887931, ID="X_1295", classes=["center", "incident"])
            central_line(model, X_56, X_1295, 56, 1295, incident=True)
            return promote_point_to_top(model, X_3318)


        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_3318 on the given reference triangle."""
            model = create_model('X_3318 = INCIRCLE TRANSFORM T(X_603)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03318(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-03318.json"))
            write_center_svg(
                model_acute,
                here / "x-03318.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3318¶

X₃₃₁₈¶