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X₁₂₃₈¶

ISOTOMIC CONJUGATE OF X₁₁₇₉

X₁₂₃₈ is the isotomic conjugate of X₁₁₇₉.

X₁₂₃₈ (ISOTOMIC CONJUGATE OF X₁₁₇₉) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).¶

"""GEOMETOR construction model for X_1238 = ISOTOMIC CONJUGATE OF X_1179."""

        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,
            circumcenter_of,
            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_01238(
            model: Model, A: spg.Point, B: spg.Point, C: spg.Point
        ) -> spg.Point:
            """Construct X_1238 = ISOTOMIC CONJUGATE OF X_1179 on reference triangle ABC."""
            X_1179 = point_from_barycentrics(model, A, B, C, 0.088343284, 0.17113976, 0.74051696, ID="X_1179", classes=["center"])
            X_1238 = isotomic_conjugate(model, A, B, C, X_1179, ID="X_1238", classes=["selected", "target"])
            X_3 = circumcenter_of(model, A, B, C, ID="X_3", 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_3, X_69, 3, 69, incident=True)
            X_311 = eval_trilinear_point(model, A, B, C, '(csc(A))**(2)*cos(B - C)', ID="X_311", classes=["center", "incident"])
            X_325 = eval_trilinear_point(model, A, B, C, '(csc(A))**(2)', ID="X_325", classes=["center", "incident"])
            central_line(model, X_311, X_325, 311, 325, incident=True)
            X_1232 = point_from_barycentrics(model, A, B, C, 0.47795093, 0.32307014, 0.19897893, ID="X_1232", classes=["center", "incident"])
            X_1273 = point_from_barycentrics(model, A, B, C, 1.9099368, 0.24319357, -1.1531304, ID="X_1273", classes=["center", "incident"])
            central_line(model, X_1232, X_1273, 1232, 1273, incident=True)
            return promote_point_to_top(model, X_1238)


        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_1238 on the given reference triangle."""
            model = create_model('X_1238 = ISOTOMIC CONJUGATE OF X_1179')
            A, B, C = construct_baseline_triangle(model, *sides, show_guides=show_guides)
            construct_x_01238(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-01238.json"))
            write_center_svg(
                model_acute,
                here / "x-01238.svg",
                subtitle="(a, b, c) = (5, 6, 7) | AB = 1",
            )
        

X1238¶

X₁₂₃₈¶