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X₁₂₃₃¶

ISOTOMIC CONJUGATE OF X₁₁₇₄

X₁₂₃₃ is the isotomic conjugate of X₁₁₇₄.

X₁₂₃₃ (ISOTOMIC CONJUGATE OF X₁₁₇₄) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1233 = ISOTOMIC CONJUGATE OF X_1174."""

        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,
            isotomic_conjugate,
            point_from_barycentrics,
            promote_point_to_top,
        )
        from geometor.etc.render import write_center_svg


        def construct_x_01233(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1233 = ISOTOMIC CONJUGATE OF X_1174 on reference triangle ABC."""
            X_1174 = point_from_barycentrics(model, A, B, C, 0.24963675, 0.33833122, 0.41203203, ID="X_1174", classes=["center"])
            X_1233 = isotomic_conjugate(model, A, B, C, X_1174, ID="X_1233", classes=["selected", "target"])
            X_76 = eval_trilinear_point(model, A, B, C, '1/a**(3)', ID="X_76", classes=["center", "incident"])
            X_85 = eval_trilinear_point(model, A, B, C, 'b**(2)*c**(2)/(b + c - a)', ID="X_85", classes=["center", "incident"])
            central_line(model, X_76, X_85, 76, 85, incident=True)
            X_310 = eval_trilinear_point(model, A, B, C, 'b**(3)*c**(3)/(b + c)', ID="X_310", classes=["center", "incident"])
            X_333 = eval_trilinear_point(model, A, B, C, 'b*c*(b + c - a)/(b + c)', ID="X_333", classes=["center", "incident"])
            central_line(model, X_310, X_333, 310, 333, incident=True)
            X_69 = eval_trilinear_point(model, A, B, C, '(cos(A))/a**(2)', ID="X_69", classes=["center", "incident"])
            X_674 = eval_trilinear_point(model, A, B, C, '(a*(b**(3) + c**(3) - a*(b**(2) + c**(2))))', ID="X_674", classes=["center", "incident"])
            central_line(model, X_69, X_674, 69, 674, incident=True)
            return promote_point_to_top(model, X_1233)


        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_1233 on the given reference triangle."""
            model = create_model('X_1233 = ISOTOMIC CONJUGATE OF X_1174')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01233(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-01233.json"))
            write_center_svg(
                model_acute,
                here / "x-01233.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1233¶

X₁₂₃₃¶