Auxiliary-Geometry¶

General¶

The auxiliary-geometry elements (or auxiliary-lines for short) are intended for the design. They are not for permanent auxiliary designs. The auxiliary-lines are always deleted again so that the plan is clearly presented. The auxiliary-lines are not printed by default. If the auxiliary-lines are to be printed out, the PRINT AUXILIARY-LINES option can be activated in OPTIONS > SYSTEM > CONFIGURATION.

Tip

For permanent auxiliary-lines, a line with pen colour "0" (blue) can be used. These lines are not printed.
The auxiliary-lines can be hidden in the screen settings.

Straight line through points/to circles¶

	Auxiliary-lines toolbar
	Draw menu > Auxiliary-geometry > Straight line by two points

This function allows you to create an auxiliary-line through two points. If a circle is selected, this allows you to use an automatically calculated tangent point.

Options¶

2 points	point + circle	2 circles

After this function is activated, the two points must be defined. You see a preview of the auxiliary-line. If you want to run a line tangent to a circle, click on the arc near to the final tangent point.

Tip

The function remains active.
You can see which capture mode is active by the appearance of the crosshair. This means you can see whether a tangent will be created or a straight through a point. While element capture is active, a tangent will be generated.

Straight with angle through a point/on a circle¶

	Auxiliary-lines toolbar
	Draw menu > Auxiliary-geometry > Straight line by angle and point

This function allows you to create an auxiliary-line with a given angle through a point or tangent to a circle.
If several angles are entered, several auxiliary-lines can be created at once.

Options¶

through point	tangential to circle	through point with 2 angles

straight-line-by-angle-and-point

After this function is activated, the property bar appears. Enter the appropriate angle in the field of the property bar or select a previously entered value from the list. Now the crosshair can be set at the point through which the auxiliary-line should run at the specified angle.
aux_line_by_angle_ This option offers the possibility to apply the angle relative to a selected line.

Tip

Up to 10 values can be entered for the value in the property bar field separated by commas.
The value entered is always measured from the x-axis. Once the angles are defined, any number of points can be selected.

Tangent/straight through point normal to line¶

	Auxiliary-lines toolbar
	Draw menu > Auxiliary-geometry > Straight line by point - normal on line

This function allows you to create an auxiliary-line through a point normal to a line or a tangent normal to a line.

After the function is activated, a point or a circle must be defined. Then the line can be selected to which the auxiliary-line should be normal.

Tip

The function remains active.
You can see which capture mode is active by the appearance of the crosshair. This means you can see whether a tangent will be created or a line straight through a point. While element capture is active, a tangent will be generated.

Parallel lines¶

	Auxiliary-lines toolbar
	Draw menu > Auxiliary-geometry > Parallel lines

This function allows you to draw parallel auxiliary-lines with a certain distance between them and to copy them multiple times. Relative or absolute distances can be entered.
parallel-aux-lines

Entry mode¶

This function determines whether the distances are measured absolutely or relatively.

Relative means that the distances are measured sequentially.
entry-mode-relative

Absolute means that the distances are always measured from the start point. entry-mode-absolute

Number of repeats¶

Icon1
The number of repeats is only active if the input mode is set to "relative". A maximum of 100 repeats can be entered.

Auxiliary-geometry at single point¶

	Auxiliary-lines toolbar
	Draw menu > Auxiliary-geometry > Auxiliary-geometry at single point

This function allows you to create the auxiliary-geometry at a point on an element. If several elements border this point, one auxiliary-line is created for each element.
aux-geo-at-single-point1 aux-geo-at-single-point2
When the function is activated, the crosshair is placed next to the required points. Then the auxiliary-geometry elements are drawn as explained above.

Circle with given centre and radius¶

	Auxiliary-lines toolbar
	Draw menu > Auxiliary-geometry > Circle with given centre and radius

This function allows you to create one or more circles by entering the radii.

When the function is activated, the property bar opens and you can specify the radii and the circle's reference point.
circle-with-centre-radius

Radius¶

Up to 10 radii can be entered, separated by a comma.

Reference point¶

circle-with-centre-radius-ref-point-selection
The reference point determines the point at which the circle is attached to the crosshair.

Circle by centre¶

	Auxiliary-lines toolbar
	Draw menu > Auxiliary-geometry > Circle by centre

This function allows you to create an auxiliary-circle by stating its centre point and a point on the circle's circumference. The circle can also be added as a tangent to an element (drawing, auxiliary-line, line or arc).

Once the function is activated, the centre point is determined. Then the extent of the circle is determined with a point on the circumference or an element to which the circle should be tangentially arranged.

by point	Tangential to element

Tip

The function remains active.
You can see which capture mode is active by the appearance of the crosshair. This means you can see whether the auxiliary-circle will be created tangential to an element or using a point. If you move over an element with the element capture mode, the auxiliary-circle will be generated tangential to the element.

Circle by 3 points or tangents¶

	Auxiliary-lines toolbar
	Draw menu > Auxiliary-geometry > Circle by 3 points or tangents

This function allows you to create an auxiliary-circle, which is defined by the input of 3 "locations". These "locations" can be either free points or tangential points.

Options¶

by 3 points	mixed	by tangents

Cursor position¶

The direction changes depending on the position of the cursor in relation to the crosshair.

Cursor above crosshair	Cursor below crosshair

Tip

The solution for a circle touching 3 tangents is very complicated and is based on an interactive process. If no solution is found, you are prompted to try again by entering more precise boundary points, i.e. the boundary points should be marked so that they correspond as closely as possible to their actual position on the circumference of the auxiliary-circle you are attempting to create.
You can see which capture mode is active by the appearance of the crosshair. This means you can see whether the auxiliary-circle will be created tangential to an element or using a point. If you move over an element with the element capture mode, the auxiliary-circle will be generated tangential to the element.

Circle by radius¶

	Auxiliary-lines toolbar
	Draw menu > Auxiliary-geometry > Circle by radius

This function allows you to create an auxiliary-circle with a certain radius by specifying two "locations". These two "locations" can be either free points or tangential points.

Options¶

by 2 points	mixed	by tangents

When the function is activated, the property bar opens and you can specify the radii. The points or elements, which must form tangents to the auxiliary-circle, must be selected one by one.

Cursor position¶

The direction changes depending on the position of the cursor in relation to the crosshair.

Cursor above crosshair	Cursor below crosshair

Tip

The function remains active.
You can see which capture mode is active by the appearance of the crosshair. This means you can see whether the auxiliary-circle will be created tangential to an element or using a point. If you move over an element with the element capture mode, the auxiliary-circle will be generated tangential to the element.

Deleting auxiliary-geometry¶

Deleting a single auxiliary-geometry element¶

Auxiliary-geometry toolbar

This function deletes single auxiliary-lines. Instead of using this function, you can highlight the auxiliary-lines and delete them with the Del key. If you hold down the Shift key, you can highlight several auxiliary-lines.

Deleting all auxiliary-geometry¶

Auxiliary-geometry toolbar

This function deletes all auxiliary-lines from the plan, including hidden lines.