simple arc: meaning, definition, pronunciation and examples
C2/TechnicalFormal, Academic, Technical (Mathematics, Engineering, Design)
Quick answer
What does “simple arc” mean?
A continuous, unbroken part of a curve that does not cross itself, considered as a fundamental geometric element.
Audio
Pronunciation
Definition
Meaning and Definition
A continuous, unbroken part of a curve that does not cross itself, considered as a fundamental geometric element.
A basic, smooth, continuous curve, without branches, loops, or self-intersections, forming a fundamental component in geometry and graph theory.
Dialectal Variation
British vs American Usage
Differences
No significant lexical or definitional differences. Spelling conventions for surrounding text follow regional norms (e.g., 'centre' vs. 'center').
Connotations
Identically technical and neutral in both varieties.
Frequency
Equally low-frequency outside technical fields in both regions. Use is dictated entirely by subject matter, not geography.
Grammar
How to Use “simple arc” in a Sentence
[simple arc] + [prepositional phrase: of a curve, between points][simple arc] + [verb: connects, joins, forms]Vocabulary
Collocations
Examples
Examples of “simple arc” in a Sentence
verb
British English
- The algorithm is designed to simple-arc the path between the nodes.
American English
- The software can simple-arc the connection to avoid overlaps.
adverb
British English
- The line extends simple-arcly across the diagram.
American English
- The path was constructed simple-arcly to ensure clarity.
adjective
British English
- The simple-arc property is essential for this proof.
American English
- We need a simple-arc trajectory for the robot arm.
Usage
Meaning in Context
Business
Virtually never used.
Academic
Primarily in mathematics, computer science (graphics, algorithms), physics, and engineering textbooks and papers.
Everyday
Extremely rare. Might be used in specific hobbies like technical drawing or game development.
Technical
Core usage. Refers to a fundamental concept in geometry, topology, and computer graphics path definitions.
Vocabulary
Synonyms of “simple arc”
Strong
Neutral
Weak
Vocabulary
Antonyms of “simple arc”
Watch out
Common Mistakes When Using “simple arc”
- Using 'simple arc' in everyday language to mean an 'easy curve'.
- Confusing it with a 'circular arc' (a simple arc can be part of any curve, not just a circle).
- Omitting 'simple' when the non-intersecting property is critical to the definition.
FAQ
Frequently Asked Questions
No. An 'arc' is a general term for a continuous curve. A 'simple arc' is a specific type of arc that does not cross itself. All simple arcs are arcs, but not all arcs are simple.
They are essentially synonymous in modern usage. 'Jordan arc' is named after the mathematician Camille Jordan and is the standard term in topology for a simple arc.
No. By definition, a simple arc has two distinct endpoints. If the endpoints meet and the curve does not intersect itself elsewhere, it becomes a 'simple closed curve' or 'Jordan curve'.
You might encounter it in computer graphics (vector drawing software, pathfinding algorithms), engineering design (defining smooth component boundaries), and geographic information systems (GIS) when defining non-intersecting paths or borders.
Simple arc is usually formal, academic, technical (mathematics, engineering, design) in register.
Simple arc: in British English it is pronounced /ˈsɪmp(ə)l ɑːk/, and in American English it is pronounced /ˈsɪmpəl ɑrk/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “None. The term is purely technical and does not feature in idiomatic expressions.”
Learning
Memory Aids
Mnemonic
Think of drawing a rainbow with one smooth stroke that never touches or crosses itself—that's a SIMPLE ARC.
Conceptual Metaphor
A SIMPLE ARC is a pure, undisturbed PATH or JOURNEY between two points.
Practice
Quiz
What is the defining characteristic of a simple arc?