Breadth Quote by Euclid
“A line is length without breadth.”
About This Quote
A line is defined solely by its length; it lacks any measurable width, distinguishing it from two‑dimensional objects.
In simple terms: Lines have only length, no breadth.
Key Takeaway
Dimensionality matters.
Themes
geometry
dimensions
definition
mathematics
Mood
neutral
analytical
Type
technical
definitional
When to use this quote
- drawing a ruler
- describing a road
- modeling a wire
Key Concepts
Euclidean space
conceptual abstraction
Practical Applications
- use line as a one‑dimensional reference
- simplify calculations
Questions to Reflect On
- Why is breadth excluded from a line's definition?
- How does this abstraction aid geometric proofs?
![“[Footnote:] Pliny the Elder described a Whale called "Balaena or Whirlpool, which is so long and broad as to take up more in length and breadth than two acres of ground." This brings up again the old question: Are the classics doomed? Our ancestors believed that four years of this sort of…” quote by Will Cuppy](https://sms4smile.com/quotes/img-quotes/1c1/will-cuppy-7569_acres_footnote-pliny-the-elder-described-a-wha_84284.jpg)
![“A woman artist could be one of those intuitive geniuses [who] have kept their childlike spirit and have added to it breadth of vision and experience.” quote by Alfred Stieglitz](https://sms4smile.com/quotes/img-quotes/935/alfred-stieglitz-13773_art_a-woman-artist-could-be-one-of-those-int_193165.jpg)
