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X₃₇₀₀¶

X₆₆₁com(EXTOUCH TRIANGLE)

X₃₇₀₀ = perspector of hyperbola {{A, B, C,X₈,X₁₀}}

X₃₇₀₀ (X₆₆₁com(EXTOUCH TRIANGLE)) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_3700 = X_661com(EXTOUCH 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,
            construct_baseline_triangle,
            create_model,
            eval_barycentric_point,
            eval_trilinear_point,
            mittenpunkt_of,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_03700(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_3700 = X_661com(EXTOUCH TRIANGLE) on reference triangle ABC."""
            X_3700 = eval_barycentric_point(model, A, B, C, '((b + c - a)*(b**(2) - c**(2)))', ID="X_3700", classes=["selected", "target"])
            X_37 = eval_trilinear_point(model, A, B, C, 'b + c', ID="X_37", classes=["center", "incident"])
            X_647 = eval_trilinear_point(model, A, B, C, 'a*(b**(2) - c**(2))*(b**(2) + c**(2) - a**(2))', ID="X_647", classes=["center", "incident"])
            central_line(model, X_37, X_647, 37, 647, incident=True)
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_1021 = eval_trilinear_point(model, A, B, C, '((cos(B) - cos(C))/(cos(B) + cos(C)))', ID="X_1021", classes=["center", "incident"])
            central_line(model, X_9, X_1021, 9, 1021, incident=True)
            X_321 = eval_trilinear_point(model, A, B, C, '(b + c)*b**(2)*c**(2)', ID="X_321", classes=["center", "incident"])
            X_850 = eval_trilinear_point(model, A, B, C, '(b**(2) - c**(2))/a**(3)', ID="X_850", classes=["center", "incident"])
            central_line(model, X_321, X_850, 321, 850, incident=True)
            return promote_point_to_top(model, X_3700)


        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_3700 on the given reference triangle."""
            model = create_model('X_3700 = X_661com(EXTOUCH TRIANGLE)')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_03700(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-03700.json"))
            write_center_svg(
                model_acute,
                here / "x-03700.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X3700¶

X₃₇₀₀¶