auxiliary lines

USAGE SUMMARY

The phrase "auxiliary lines" is correct and usable in written English.
It can be used in contexts such as mathematics, engineering, or design, where additional lines are drawn to aid in the construction or understanding of a figure or diagram. Example: "To clarify the geometric construction, I added auxiliary lines to help visualize the relationships between the angles."

✓ Grammatically correct

Science

Encyclopedias

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

35 human-written examples

This can be demonstrated for a general figure by the process of triangulation, in which auxiliary lines are drawn connecting vertices so that the region is subdivided into triangles (see figure, top).

Encyclopedia Britannica

(9) Figure 4 Auxiliary lines.

Journal of Inequalities and Applications

Auxiliary lines when O is outside (triangle ABC).

Journal of Inequalities and Applications

More and more cars have audio-in jacks for auxiliary lines, but those connections offer distort the signal.

TechCrunch

Indeed, we have drawn the auxiliary lines in complete deflation state.

Surgical Case Reports

The present report demonstrates that imaginary auxiliary lines do indeed assist intraoperative location of unexpected tumors.

Surgical Case Reports

Human-verified similar examples from authoritative sources

Similar Expressions

25 human-written examples

The slim device, which looks like the removable faceplate of a car stereo, offers the ability to play, mix and record digital music from a personal collection via an auxiliary line-in or SD card port (microphone and headphones ports are also included).

The New York Times - Tech

In this method, a three-lined auxiliary mesh is constructed which is composed of the boundary line, an auxiliary line generated on its inner side, and the reflection line of this auxiliary line.

Journal of Computational Physics

By appropriate use of auxiliary line and/or fictitious points, physical jump conditions are enforced at the interface.

Journal of Computational Physics

To enable location of the newly found nodules in S6, an auxiliary line was drawn vertically from the interlobar fissure to the inferior marking (point a to point b in Fig. 2c).

Surgical Case Reports

From point b, another auxiliary line was drawn in parallel with the interlobar fissure (point b to point d in Fig. 2c), its length being double that between points a and b (i.e., point c is the midpoint between points b and d; the nodule in S6 was located close to point d in Fig. 2c).

Surgical Case Reports

Expert writing Tips

Best practice

When using "auxiliary lines" in technical writing, clearly explain their purpose and how they aid in understanding the main concept or diagram.

Common error

Avoid misinterpreting "auxiliary lines" as essential components of a design or diagram. They are meant to assist and clarify, not to be the main focus.

Linguistic Context

The phrase "auxiliary lines" functions primarily as a noun phrase, often serving as the object of a verb or the subject of a clause. Ludwig AI indicates its correct usage in various written contexts.

Expression frequency: Common

Frequent in

Science

68%

Encyclopedias

12%

Wiki

8%

Less common in

News & Media

8%

Formal & Business

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "auxiliary lines" is a common noun phrase used to describe additional lines added to figures or diagrams to aid in understanding or construction. According to Ludwig AI, the phrase is grammatically correct and usable in written English, particularly in scientific and technical contexts. Its function is primarily descriptive, and it serves to clarify or facilitate problem-solving. When using this phrase, ensure its purpose is clearly explained, and avoid confusing it with primary elements. Alternatives such as "supporting lines" or "helper lines" can be used depending on the specific nuance you wish to convey.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

supporting lines

Emphasizes the role of these lines in aiding or reinforcing the main structure or concept.

helper lines

Highlights the assistance provided by these lines in solving a problem or understanding a diagram.

construction lines

Focuses on the use of these lines in the process of creating a geometric figure or design.

supplemental lines

Indicates that these lines add to or complete the main structure or diagram.

additional lines

Simply denotes that there are more lines than initially present, serving an extra purpose.

imaginary lines

Specifies that these lines are not physically present but are used for visualization or calculation.

reference lines

Highlights the role of these lines as a point of comparison or orientation.

guide lines

Emphasizes that these lines provide direction or assistance in creating or understanding something.

temporary lines

Highlights that these lines are used only for a limited time or purpose, before being removed or disregarded.

scaffolding lines

Metaphorically describes these lines as a temporary structure that supports the construction of something else.

FAQs

How are "auxiliary lines" typically used in geometry?

In geometry, "auxiliary lines" are often added to a diagram to create triangles or other shapes that help in proving theorems or solving problems. These lines are not part of the original figure but are drawn to aid in analysis.

What's the difference between "auxiliary lines" and regular lines in a diagram?

"Auxiliary lines" are not part of the original figure but are added to help solve a problem or prove a theorem. Regular lines are part of the given figure. "Supporting lines" and "helper lines" are similar terms.

Can "auxiliary lines" be used in fields other than mathematics?

Yes, "auxiliary lines" can be used in various fields, such as engineering and design, to aid in visualizing and constructing complex structures or systems. They serve as "guide lines" during the creation process.

What is another word for "auxiliary lines"?

Alternatives for "auxiliary lines" include "supplemental lines", "supporting lines", or "helper lines", depending on the context. All of these refer to lines added to aid in understanding or construction.