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X₃₄₄¶

ISOTOMIC CONJUGATE OF X₂₇₇

X₃₄₄ (ISOTOMIC CONJUGATE OF X₂₇₇) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_344 = ISOTOMIC CONJUGATE OF X_277."""

        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_trilinear_point,
            isotomic_conjugate,
            mittenpunkt_of,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_00344(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_344 = ISOTOMIC CONJUGATE OF X_277 on reference triangle ABC."""
            X_277 = eval_trilinear_point(model, A, B, C, '(((sec(A/2))**(2))/(- (cos(A/2))**(4) + (cos(B/2))**(4) + (cos(C/2))**(4)))', ID="X_277", classes=["center"])
            X_344 = isotomic_conjugate(model, A, B, C, X_277, ID="X_344", classes=["selected", "target"])
            X_2 = centroid_of(model, A, B, C, ID="X_2", classes=["center", "incident"])
            X_37 = eval_trilinear_point(model, A, B, C, 'b + c', ID="X_37", classes=["center", "incident"])
            central_line(model, X_2, X_37, 2, 37, incident=True)
            X_9 = mittenpunkt_of(model, A, B, C, ID="X_9", classes=["center", "incident"])
            X_69 = eval_trilinear_point(model, A, B, C, '(cos(A))/a**(2)', ID="X_69", classes=["center", "incident"])
            central_line(model, X_9, X_69, 9, 69, incident=True)
            X_45 = eval_trilinear_point(model, A, B, C, '2*b + 2*c - a', ID="X_45", classes=["center", "incident"])
            X_141 = eval_trilinear_point(model, A, B, C, 'b*c*(b**(2) + c**(2))', ID="X_141", classes=["center", "incident"])
            central_line(model, X_45, X_141, 45, 141, incident=True)
            return promote_point_to_top(model, X_344)


        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_344 on the given reference triangle."""
            model = create_model('X_344 = ISOTOMIC CONJUGATE OF X_277')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_00344(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-00344.json"))
            write_center_svg(
                model_acute,
                here / "x-00344.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X344¶

X₃₄₄¶