From Newsgroup: comp.text.tex

Alain Matthes submitted an update to the

tkz-elements

package.

Version: 4.35c 2025-11-08
License: lppl1.3c

Summary description: A Lua library for drawing Euclidean geometry with TikZ or tkz-euclide

Announcement text: ----------------------------------------------------------------------

This release introduces major internal improvements, new geometric
tools, and the first public integration of Apollonius-related constructions.
Improved geometric engine.
Numerous internal optimisations and structural clean-up of the Lua codebase.
Better consistency between object interfaces (point, line, circle, path, rCa).
Unified system for solution outputs using paths (path objects storing
centres and through-points).
New or enhanced methods
Robust tests for circle tangency (circle:are_circles_tangents()).
Improved numerical tolerance control (tkz.epsilon, tkz.approx()).
Expanded geometry toolbox: pole of a line w.r.t a circle, inversion-based
utilities, projections, affine transformations.
Apollonius problems rCo experimental implementation
First complete framework for solving classical Apollonius configurations
(CCC, CCL, CLP, LPP, etc.).
Implementations include Vi|?te reduction, homothety and inversion approaches.
Solutions are returned as paths (pa_center, pa_through) with consistent
structure, ready for TikZ drawing.

Important note on Apollonius methods
The methods related to Apollonius' circle problems are still experimental.
Although many generic cases are already handled (disjoint circles,
external/internal tangencies, equal or unequal radii), the following
must be kept in mind:
Some special or degenerate cases are not yet fully covered, e.g.:
three mutually secant circles,
double contact with equal radii and aligned centres,
combinations of internal/external tangency near inversion singularities.
Corner cases may still produce missing or duplicated solutions.
The code is evolving: names, internal strategies, and outputs may slightly
change in future releases.
These additions are intended as a research and development module,
not yet as a final, guaranteed solver for all configurations.
Documentation & usage
The user manual (doc/tkz-elements.pdf) has been updated accordingly.
A dedicated section on Apollonius problems explains:
Syntax, returned paths, modes ("external", "internal", "all"),
Example TikZ figures using tkz-euclide,
Limitations and known edge cases.

----------------------------------------------------------------------

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From Newsgroup: comp.text.tex

Alain Matthes submitted an update to the

tkz-elements

package.

Version: 4.40c 2025-11-13
License: lppl1.3c

Summary description: A Lua library for drawing Euclidean geometry with TikZ or tkz-euclide

Announcement text: --------------------------------------------------------------------------------

This release introduces several improvements to fundamental geometric objects, expands the numerical utilities in the tkz module, adds new capabilities for conics, and clarifies portions of the documentation.

It continues the consolidation of existing methods while providing new tools for advanced geometric work.
Added
Points: New method length(p)
Allows distance evaluation using z.A:length(z.B), equivalent to tkz.length(z.A, z.B).
Line: Improved methods: orthogonal_at, collinear_at
Both now behave more consistently in proportional constructions. Circle:
New intuitive alias methods:
from_radius rei through
from_diameter rei diameter
Updated common_tangent with more coherent handling of special cases. Triangle:
New method:
trilinear_to_d rCo converts trilinear coordinates into distances to the sides (internally uses HeronrCOs formula).
tkz: A set of highly useful numerical tools has been added:
Generators and unit converters:
tkz.range, tkz.deg, tkz.rad, tkz.pt
Value checking: tkz.is_NaN, tkz.is_Inf, tkz.notDef
Numerical analysis:
tkz.fsolve(f, a, b, n [, opts]) rCo simple root finder
tkz.derivative(f, x0 [, accuracy]) rCo numerical derivative at a point Conic
Added common_tangent for conics (currently implemented for ellipses).

Changed
Conic:
The path method for ellipses has been redesigned:
new modes: "swap", "ccw", "cw"
proper handling of cases where the endpoints are opposite.

Documentation:
Corrected usage of
\tkzDrawCoordinates[smooth] (instead of \tkzDrawCoordinatessmooth) in the conic class.
Added several new examples for CCL.

--------------------------------------------------------------------------------

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More information is at
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--------------------------------------------------------------------------------

Thanks for the upload.

For the CTAN Team
Manfred Lotz


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From Newsgroup: comp.text.tex

Alain Matthes submitted an update to the

tkz-elements

package.

Version: 4.42c 2025-11-24
License: lppl1.3c

Summary description: A Lua library for drawing Euclidean geometry with TikZ or tkz-euclide

Announcement text: --------------------------------------------------------------------------------

tkz-elements rCo update 4.42c (2025/11/24)
This update brings a new geometric class, several new Apollonius-related tools, improved robustness thanks to extended EPS handling, and many documentation enhancements.

Added

New class angle:
A dedicated object for angle management (identifier "A" used internally). Integration with other classes will come in later releases.

class circle:
New method CCL (circlerCocirclerColine tangency).
Unified similitude method with optional "internal" / "external" mode.

module tkz:
New angle-related functions, all with optional EPS:
tkz.inner_angle, tkz.angle_between_vectors, tkz.get_angle_normalize.
New comparison helper: tkz.approx (optional EPS).

class line:
Aliases perpendicular_bisector and bisector for mediator.
New method harmonic with mode "internal", "external" or "both".

class triangle:
isodynamic_points (alias neuberg_points).
three_apollonius_circles.
apollonius_circle.
apollonius_points.
apollonius_circles.

Changed

class matrice:
Fixes for print_matrix and matrix:print.
Correction of method htm.
Intersection
Complete rewrite of algorithms with a unified EPS parameter for precision control.

class circle:
Many methods now accept an optional EPS argument:
on_circle, in_out, in_disk, in_out_disk,
in_disk_strict, out_disk_strict, in_out_disk_strict,
line_position, pole, is_tangent, is_secant,
circles_position, orthogonal_through, midcircle, common_tangent.
Improved behaviour of CLL for parallel lines.

class line
Improved LLL.

Documentation:

Some corrections
New Gothic example for CLP.
New CLL example with parallel lines.
Rewrite of search_circle.lua.
Expanded Apollonius section with new CLP examples.
Lua lesson: using string.char(37).

--------------------------------------------------------------------------------

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https://mirrors.ctan.org/macros/latex/contrib/tkz/tkz-elements

More information is at
https://ctan.org/pkg/tkz-elements


--------------------------------------------------------------------------------

Thanks for the upload.

For the CTAN Team
Manfred Lotz


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From Newsgroup: comp.text.tex

Alain Matthes submitted an update to the

tkz-elements

package.

Version: 4.44c 2025-12-09
License: lppl1.3c

Summary description: A Lua library for drawing Euclidean geometry with TikZ or tkz-euclide

Announcement text: ----------------------------------------------------------------------

Version 4.44c of tkz-elements brings substantial extensions to
the geometric engine, new analytical tools, and important
improvements to the LuarCoTeX interface.
On the geometric side, the triangle class gains two new constructions
related to the FeuerbachrCoApollonius configuration, including a
dedicated implementation of Kimberling point n-#181.
The circle class benefits from an enhanced CCC method, now able
to handle a broader range of special tangency cases reliably.

The vector class has been significantly extended: it now provides
the components dx and dy, together with a full set of analytical
methods (dot, cross, is_parallel, is_orthogonal, angle_to, rotate,
etc.), offering a more complete and consistent framework for
vector-based computations inside Lua.

At the system level, new global constants have been introduced
to control TeX dimension limits (tkz.maxdimen_pt, tkz.max_coord_cm,
tkz.max_coord_safe). These values are used to reinforce the safety
of coordinate transfer between Lua and TikZ.
The macro \tkzGetNodes has been updated accordingly: only point
names ending in p or pp are transformed, and coordinates exceeding
the safe range are automatically replaced by (0,0) with a warning
written to the log file.

Finally, the documentation has been revised with restored overview
and contents sections, an expanded description of the vector class,
and corrections to the example on Soddy circles.

----------------------------------------------------------------------

The packagerCOs Catalogue entry can be viewed at
https://ctan.org/pkg/tkz-elements

The packagerCOs files themselves can be inspected at
https://mirrors.ctan.org/macros/latex/contrib/tkz/tkz-elements/

------------------------------------------------------------------------

Thanks for the upload.

For the CTAN Team
Petra R|+be-Pugliese

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From Newsgroup: comp.text.tex

Alain Matthes submitted an update to the

tkz-elements

package.

Version: 4.45c 2026-01-22
License: lppl1.3c

Summary description: A Lua library for drawing Euclidean geometry with TikZ or tkz-euclide

Announcement text: --------------------------------------------------------------------------------

[2026/01/22 rCo version 4.45c]
Changed
In tkz-elements.sty
- Replaced `luatexluaescapestring` with `luaescapestring`.

In line
- Simplification of the method `LLL`

In the documentation
- Corrected the example related to the radical center.
- Improved the documentation of the `radical center` and the `radical circle`. - Added clarifications concerning the `mini` option of `tkz-euclide`, in particular its interaction with
the `\tkzCompass` macro and the `show` option.
- Removed several sections (`examples`, `theorems`, and `apollonius`) in order to streamline the documentation.
These materials are now gathered in a separate document entitled *Euclidean Geometry*, available on
my website: `https://altermundus.fr`.
- Correction of Archimedes Spiral example.

--------------------------------------------------------------------------------

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More information is at
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--------------------------------------------------------------------------------

Thanks for the upload.

For the CTAN Team
Manfred Lotz


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From Newsgroup: comp.text.tex

Alain Matthes submitted an update to the

tkz-elements

package.

Version: 4.50c 2026-01-25
License: lppl1.3c

Summary description: A Lua library for drawing Euclidean geometry with TikZ or tkz-euclide

Announcement text: ----------------------------------------------------------------------

New in version 4.50c

Introduction of the angle class (experimental), providing a
dedicated object for oriented and non-oriented angles.

Introduction of the list_point class (experimental), a container
for ordered collections of points.

Improvements and fixes across core classes (circle, line, point,
quadrilateral, conic).

New matrix algorithms (gauss_jordan, rank) and rewritten triangle
angle handling.

Ongoing documentation restructuring, with systematic tables of
attributes and methods, cross-referenced throughout the manual.

The new classes angle and list_point are marked as experimental:
their interfaces are stable enough for use, but they are not yet
fully integrated into all parts of the ecosystem.

----------------------------------------------------------------------

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https://ctan.org/pkg/tkz-elements

The packagerCOs files themselves can be inspected at
https://mirrors.ctan.org/macros/latex/contrib/tkz/tkz-elements/

------------------------------------------------------------------------

Thanks for the upload.

For the CTAN Team
Petra R|+be-Pugliese

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From Newsgroup: comp.text.tex

Alain Matthes submitted an update to the

tkz-elements

package.

Version: 5.00c 2026-02-17
License: lppl1.3c

Summary description: A Lua library for drawing Euclidean geometry with TikZ or tkz-euclide

Announcement text: ----------------------------------------------------------------------

Docs:
Major Documentation Restructuring
The documentation is now structured into four coherent parts:

Geometry Core
Algebra and Tools
Lua and Integration
Mathematical and Computational Foundations

This restructuring improves conceptual clarity and clearly separates
geometric theory from implementation details.

New Sections:
Added subsection "Special Characters and Catcodes"
Added new section:
Computational Model and Geometric Engine

Added:

in line - Added method where_on_line.
New Classes
Added class fct (function)
Added class pfct (parametric function)
Standard tables introduced: - F raA functions - PF raA parametric functions
Added class list_point

Changed:

Unified Geometric Position Model

A major harmonization of geometric relation methods has been introduced.
Standardized Return Values

All geometric position methods now consistently return:
"ON", "IN", "OUT"
or relation-specific classifications (e.g. "TANGENT", "DISJOINT", etc.)
Boolean wrappers remain available for backward compatibility.
line: New & Updated Methods

line:position(pt)\ raA Returns "ON" or "OUT".
line:in_out(pt)\ raA Boolean wrapper of position.
line:path(n)\ raA Parameter n is now documented.
circle

circle:position(obj) now accepts generic objects:
Relation names are now consistently uppercase:
point: IN, ON, OUT
line: DISJOINT, TANGENT, INTERSECT
circle: Extended circle--circle classification

triangle:
on_triangle
New Attributes: alpha_ , beta_, gamma_, orientation, cross

angle: Major development and stabilization. - value and deg are
now attributes\ (no longer methods).

path: - path:count() is now documented.
- tkzSetCountFromPath is now documented.
- Improved integration between list_point and path.

New Macros (Graph Support): For fct and pfct:

\tkzDrawPointOnGraph
\tkzDrawPointsOnGraph
\tkzDrawPointOnParamGraph
\tkzDrawPointsOnParamGraph

----------------------------------------------------------------------

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For the CTAN Team
Petra R|+be-Pugliese

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From Newsgroup: comp.text.tex

Alain Matthes submitted an update to the

tkz-elements

package.

Version: 5.02c 2026-02-20
License: lppl1.3c

Summary description: A Lua library for drawing Euclidean geometry with TikZ or tkz-euclide

Announcement text: ----------------------------------------------------------------------

Added

- path Method 'scale' Anisotropic scaling

- fct Added half_tangents and tangent methods.
Tangents now return unit direction points (no line objects).
Fully compatible with set_scale.
Unified implementation based on drawing coordinates.


Changed

- path homothety now center is optional

- fct et pfct

Removed graph-related drawing macros (\tkzDrawPointOnGraph,
\tkzDrawPointsOnGraph, \tkzDrawPointOnParamGraph, \tkzDrawPointsOnParamGraph).
These were incompatible with set_scale and contradicted the
Lua-computation / TikZ-drawing design principle.

- tkz-elements.sty
Deletions and corrections.

----------------------------------------------------------------------

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