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{{Docnav|[[Sketcher_ConstrainPerpendicular|Perpendicular]]|[[Sketcher_ConstrainEqual|Equal Length]]|[[Sketcher_Workbench|Sketcher]]|IconL=Constraint_Perpendicular.png|IconC=Workbench_Sketcher.svg|IconR=Constraint_EqualLength.png}}

{{GuiCommand
{{GuiCommand
|Name=Sketcher ConstrainTangent
|Name=Sketcher ConstrainTangent
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Tangent Constraint makes two curves to touch each other (be tangent). Lines are treated infinite, and arcs are treated as full circles/ellipses. The constraint is also capable of connecting two curves, forcing them tangent at the joint, thus making the joint smooth.
Tangent Constraint makes two curves to touch each other (be tangent). Lines are treated infinite, and arcs are treated as full circles/ellipses. The constraint is also capable of connecting two curves, forcing them tangent at the joint, thus making the joint smooth.


<div class="mw-translate-fuzzy">
==Cum se folosește==
==Cum se folosește==
sunt patru moduri diferite în cae contrângerea poate fi aplicată:
sunt patru moduri diferite în cae contrângerea poate fi aplicată:
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# between a curve and an endpoint of another curve
# between a curve and an endpoint of another curve
# between two curves at user-defined point
# between two curves at user-defined point
</div>


Pentru a aplica constrângerile de tangență, trebuie să urmați pașii:
Pentru a aplica constrângerile de tangență, trebuie să urmați pașii:
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[[Image:Sketcher ConsraintTangent mode1.png|600px]]
[[Image:Sketcher ConsraintTangent mode1.png|600px]]


Two curves will be made tangent, and the point of tangency will be implicit. This mode is applied if two curves were selected.
două curbe vor fi făcute tangente, and the point of tangency will be implicit. This mode is applied if two curves were selected.


'''Accepted selection:'''
'''Accepted selection:'''
* line + line, circle, arc, ellipse, arc-of-ellipse
* line + line, circle, arc, ellipse, arc-of-ellipse
* circle, arc + circle, arc
* circle, arc + circle, arc
Dacă nu este acceptată tangența directă între curbele selectate (de exemplu, între un cerc și o elipsă), va fi adăugat un punct de ajutor pentru a schița automat și se va aplica tangența-prin-punct.
If direct tangency between selected curves is not supported (e.g. between a circle and an ellipse), a helper point will be added to sketch automatically, and tangency-via-point will be applied.


It is not recommended to reconstruct the point of tangency by creating a point and constraining it to lie on both curves. It will work, but the convergence will be seriously slower, jumpier, and will require about twice as many iterations to converge than normal. Use other modes of this constraint if the point of tangency is needed.
Nu se recomandă reconstruirea punctului de tangență prin crearea unui punct și constrângerea lui de a se afla pe ambele curbe. It will work, but the convergence will be seriously slower, jumpier, and will require about twice as many iterations to converge than normal. Use other modes of this constraint if the point of tangency is needed.


===Între două puncte finale (point-to-point tangency)===
===Între două puncte finale (point-to-point tangency)===
[[Image:Sketcher ConsraintTangent mode2.png|600px]]
[[Image:Sketcher ConsraintTangent mode2.png|600px]]


In this mode, the endpoints are made coincident, and the joint is made tangent (C1-smooth, or "sharp", depending on the placement of curves before the constraint is applied). This mode is applied when two endpoints of two curves were selected.
În acest mod, punctele finale se fac coincidente, and the joint is made tangent (C1-smooth, or "sharp", depending on the placement of curves before the constraint is applied).
Acest mod se aplică atunci când au fost selectate două puncte finale de două curbe.


'''Accepted selection:'''
'''Accepted selection:'''
* endpoint of line/arc/arc-of-ellipse + endpoint of line/arc/arc-of-ellipse (i.e., two endpoints of any two curves)
* endpoint of line/arc/arc-of-ellipse + endpoint of line/arc/arc-of-ellipse (i.e., two endpoints of any two curves)


===Between curve and endpoint (point-to-curve tangency)===
===Între curbă și punct final (point-to-curve tangency)===
[[Image:Sketcher ConsraintTangent mode3.png|600px]]
[[Image:Sketcher ConsraintTangent mode3.png|600px]]


In this mode, an endpoint of one curve is constrained to lie on the other curve, and the curves are forced tangent at the point. This mode is applied when a curve and an endpoint of another curve were selected.
În acest mod, un punct final al unei curbe este constrâns stea pe cealaltă curbă, and the curves are forced tangent at the point. This mode is applied when a curve and an endpoint of another curve were selected.


'''Accepted selection:'''
'''Accepted selection:'''
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===Between two curves at point (tangent-via-point) (v0.15)===
===Între două curbe la punct (tangent-via-point) (v0.15)===
[[Image:Sketcher ConsraintTangent mode4.png|600px]]
[[Image:Sketcher ConsraintTangent mode4.png|600px]]


În acest mod, două curbe sunt tangente și punctul de tangență este urmărit. Acest mod se aplică atunci când au fost selectate două curbe și un punct.
In this mode, two curves are made tangent, and the point of tangency is tracked. This mode is applied when two curves and a point were selected.


'''Accepted selection:'''
'''Accepted selection:'''
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"Any point" can be a lone point, or a point of something, e.g. a center of a circle, an endpoint of an arc, or the origin.
"Any point" can be a lone point, or a point of something, e.g. a center of a circle, an endpoint of an arc, or the origin.


For the constraint to work correctly, the point must be on both curves. So, as the constraint is invoked, the point will be automatically constrained onto both curves ([[Sketcher helper constraint|helper constraints]] will be added, if necessary), and the curves will be forced tangent at the point. These [[Sketcher helper constraint|helper constraints]] are plain regular constraints. They can be added manually, or deleted.
Pentru ca constrângerea funcționeze corect, punctul trebuie fie pe ambele curbe.So, as the constraint is invoked, the point will be automatically constrained onto both curves ([[Sketcher helper constraint|helper constraints]] will be added, if necessary), and the curves will be forced tangent at the point. These [[Sketcher helper constraint|helper constraints]] are plain regular constraints. They can be added manually, or deleted.


În comparație cu tangența directă, această constrângere este mai lentă, deoarece există mai multe grade de libertate implicate, dar dacă este necesar punctul de tangență, acesta este modul recomandat deoarece oferă o convergență mai bună comparativ cu tangența directă + punct pe două curbe.
Compared to direct tangency, this constraint is slower, because there are more degrees of freedom involved, but if the point of tangency is needed, it is the recommended mode because it offers better convergence compared to direct tangency + point on two curves.


Plasarea punctului înaintea aplicării constrângerii este o sugestie pentru rezolvitor pentru locul unde ar trebui să fie tangența. Cu această constrângere, se pot constrânge două elipse să se atingă reciproc în două locuri.
The placement of the point before the constraint is applied is a hint for the solver for where the tangency should be. With this constraint, one can constrain two ellipses to touch each other in two places.


==Scripting==
==Script==


Tangent Constraint can be created from [[macros]] and from the python console by using the following:
Tangent Constraint poate fi creată din [[macros]] și din consola python folosind următoarele:
{{Code|code=
{{Code|code=
# direct tangency
# direct tangency
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Sketch.addConstraint(Sketcher.Constraint('TangentViaPoint',icurve1,icurve2,geoidpoint,pointpos))
Sketch.addConstraint(Sketcher.Constraint('TangentViaPoint',icurve1,icurve2,geoidpoint,pointpos))
}}
}}
<div class="mw-translate-fuzzy">
where:
unde:
:* <tt>Sketch</tt> is a sketch object
:* <tt>Sketch</tt> is a sketch object
:* <tt>icurve1, icurve2</tt> are two integers identifying the curves to be made tangent. The integers are indexes in the sketch (the value, returned by Sketch.addGeometry).
:* <tt>icurve1, icurve2</tt> are two integers identifying the curves to be made tangent. The integers are indexes in the sketch (the value, returned by Sketch.addGeometry).
:* <tt>pointpos1, pointpos2</tt> should be 1 for start point and 2 for end point.
:* <tt>pointpos1, pointpos2</tt> should be 1 for start point and 2 for end point.
:* <tt>geoidpoint</tt> and <tt>pointpos</tt> in TangentViaPoint are the indexes specifying the point of tangency.
:* <tt>geoidpoint</tt> and <tt>pointpos</tt> in TangentViaPoint are the indexes specifying the point of tangency.
</div>

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Revision as of 21:30, 14 February 2020

Sketcher ConstrainTangent

Menu location
Sketch → Sketcher constraints → Constrain tangent
Workbenches
Sketcher
Default shortcut
T
Introduced in version
-
See also
Constraint point on object

Descriere

Tangent Constraint makes two curves to touch each other (be tangent). Lines are treated infinite, and arcs are treated as full circles/ellipses. The constraint is also capable of connecting two curves, forcing them tangent at the joint, thus making the joint smooth.

Cum se folosește

sunt patru moduri diferite în cae contrângerea poate fi aplicată:

  1. between two curves (available not for all curves)
  2. between two endpoints of a curve, making a smooth joint
  3. between a curve and an endpoint of another curve
  4. between two curves at user-defined point

Pentru a aplica constrângerile de tangență, trebuie să urmați pașii:

  • Select two or three entities in the sketch.
  • Invoke the constraint by clicking its icon on the toolbar, or selecting the menu item, or using keyboard shortcut.

Între două curbe (direct tangency)

două curbe vor fi făcute tangente, and the point of tangency will be implicit. This mode is applied if two curves were selected.

Accepted selection:

  • line + line, circle, arc, ellipse, arc-of-ellipse
  • circle, arc + circle, arc

Dacă nu este acceptată tangența directă între curbele selectate (de exemplu, între un cerc și o elipsă), va fi adăugat un punct de ajutor pentru a schița automat și se va aplica tangența-prin-punct.

Nu se recomandă reconstruirea punctului de tangență prin crearea unui punct și constrângerea lui de a se afla pe ambele curbe. It will work, but the convergence will be seriously slower, jumpier, and will require about twice as many iterations to converge than normal. Use other modes of this constraint if the point of tangency is needed.

Între două puncte finale (point-to-point tangency)

În acest mod, punctele finale se fac coincidente, and the joint is made tangent (C1-smooth, or "sharp", depending on the placement of curves before the constraint is applied). Acest mod se aplică atunci când au fost selectate două puncte finale de două curbe.

Accepted selection:

  • endpoint of line/arc/arc-of-ellipse + endpoint of line/arc/arc-of-ellipse (i.e., two endpoints of any two curves)

Între curbă și punct final (point-to-curve tangency)

În acest mod, un punct final al unei curbe este constrâns să stea pe cealaltă curbă, and the curves are forced tangent at the point. This mode is applied when a curve and an endpoint of another curve were selected.

Accepted selection:

  • line, circle, arc, ellipse, arc-of-ellipse + endpoint of line/arc/arc-of-ellipse (i.e., any curve + endpoint of any curve)


Între două curbe la punct (tangent-via-point) (v0.15)

În acest mod, două curbe sunt tangente și punctul de tangență este urmărit. Acest mod se aplică atunci când au fost selectate două curbe și un punct.

Accepted selection:

  • any line/curve + any line/curve + any point

"Any point" can be a lone point, or a point of something, e.g. a center of a circle, an endpoint of an arc, or the origin.

Pentru ca constrângerea să funcționeze corect, punctul trebuie să fie pe ambele curbe.So, as the constraint is invoked, the point will be automatically constrained onto both curves (helper constraints will be added, if necessary), and the curves will be forced tangent at the point. These helper constraints are plain regular constraints. They can be added manually, or deleted.

În comparație cu tangența directă, această constrângere este mai lentă, deoarece există mai multe grade de libertate implicate, dar dacă este necesar punctul de tangență, acesta este modul recomandat deoarece oferă o convergență mai bună comparativ cu tangența directă + punct pe două curbe.

Plasarea punctului înaintea aplicării constrângerii este o sugestie pentru rezolvitor pentru locul unde ar trebui să fie tangența. Cu această constrângere, se pot constrânge două elipse să se atingă reciproc în două locuri.

Script

Tangent Constraint poate fi creată din macros și din consola python folosind următoarele:

# direct tangency
Sketch.addConstraint(Sketcher.Constraint('Tangent',icurve1,icurve2))

# point-to-point tangency
Sketch.addConstraint(Sketcher.Constraint('Tangent',icurve1,pointpos1,icurve2,pointpos2))

# point-to-curve tangency
Sketch.addConstraint(Sketcher.Constraint('Tangent',icurve1,pointpos1,icurve2))

# tangent-via-point (plain constraint, helpers are not added automatically)
Sketch.addConstraint(Sketcher.Constraint('TangentViaPoint',icurve1,icurve2,geoidpoint,pointpos))

unde:

  • Sketch is a sketch object
  • icurve1, icurve2 are two integers identifying the curves to be made tangent. The integers are indexes in the sketch (the value, returned by Sketch.addGeometry).
  • pointpos1, pointpos2 should be 1 for start point and 2 for end point.
  • geoidpoint and pointpos in TangentViaPoint are the indexes specifying the point of tangency.