What is the Origin of the Term 'Prism'?

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Discussion Overview

The discussion revolves around the etymology of the term "prism," exploring its origins and meanings. Participants delve into linguistic connections, historical usage, and the relationship between the term and its geometric properties.

Discussion Character

  • Exploratory
  • Debate/contested
  • Historical

Main Points Raised

  • Some participants suggest that "prism" originates from the Latin word "prisma," meaning "something sawed," but express confusion about how this relates to the geometric shape.
  • One participant discusses the historical context of the term, noting that early texts in optics and mathematics were written in Latin, which influenced the vernacular.
  • Another participant mentions that the term evolved in common usage to refer specifically to polished glass triangles, suggesting a shift in meaning over time.
  • There is a proposal that the relationship between "small stones" and "calculus" is stronger than that between "sawed" and "prism," with references to early counting methods using pebbles.
  • One participant raises a question about what exactly is "sawed" in relation to prisms and discusses geometric relationships involving prisms and pyramids.
  • Another participant posits that various kinds of prisms can be obtained by sawing rectangular cuboids, potentially linking this practice to the term's origin.

Areas of Agreement / Disagreement

Participants express varying interpretations of the term's origin and its connections to geometry and historical usage. No consensus is reached regarding the precise relationship between the term "prism" and its etymological roots.

Contextual Notes

Participants highlight the complexity of linguistic history and the evolution of meanings over time, indicating that the discussion may be limited by differing interpretations of historical texts and definitions.

NumFront
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Hello respected physics experts,

I want to ask why prism is called prism. Can you explain please?

Thanks.
 
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NumFront said:
I want to ask why prism is called prism. Can you explain please?
Google for "prism etymology".
 
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The word "prism" refers to the shape of a particular set of polyhedra and is not associated with glass, particularly.
 
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https://www.etymonline.com/word/prism

I have checked the etymology form this dictionary. The words "prism" comes from a Latin word "prisma" which means "something sawed".

I don't understand how this meaning ("something sawed") relates to a prism. Could you please expand on this meaning and explain what the dictionary refers to when it says "something sawed"? Which thing is sawed and how/why it is sawed?
 
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Freehanding a smooth plane with a mallet and a chisel, or just a hammer stone, is difficult on large surfaces.
A flattened copper strip with sand as an abrasive would saw stone surfaces, bronze strips with jagged teeth would saw wood. These surfaces would not necessarily be triangular, merely flat planes.
These perfect shapes were given their own description due to being obviously distinct from a chipped surface.
Common usage beginning in the 1500's gave the term its present day meaning of a sawn and polished glass triangle.
A shiny rainbow overwhelmed any previous meaning.
 
Note also that early texts on optics, natural science and mathematics were written and published in contemporary Latin. Many scholarly terms entered the vernacular from Latin and Greek. For example consider the origin of 'calculus', literally 'pebbles'. Small stones probably have the same relation to counting as the shape of an axe head or arrangement of teeth on a saw blade have to 'prism'.
 
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Klystron said:
Small stones probably have the same relation to counting as the shape of an axe head or arrangement of teeth on a saw blade have to 'prism'.
I think the relationship between "small stones" and "calculus" is a somewhat stronger relation. I believe the precursors to an abacus were a collection of pebbles, possibly followed by a flat piece of wood with the pebbles in grooves.
 
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It is one of the partition pieces of the lost proof of the volume of a pyramid by Democritus.

And while we are it, why is a pyramid called pyramid?
 
NumFront said:
Which thing is sawed and how/why it is sawed?

Mi thinking is, lot at figures 9.4.3 and 9.5.1 of this book: https://books.google.es/books?id=ruRoDQAAQBAJ&pg=PA206&lpg=PA206&dq=yang+ma+volume+pyramid&source=bl&ots=CpXNwHQeKP&sig=ACfU3U0LsnS3D88pElOClvp7SDIjqmBSoQ&hl=es&sa=X&ved=2ahUKEwijxMndmsbjAhX86OAKHXfdAKsQ6AEwDXoECDcQAQ#v=onepage&q=yang ma volume pyramid&f=false

Or here: https://www.maa.org/book/export/html/842718
1563721331096.png


Clearly the prism is sawed from the pyramid, and also from wedge, in order to obtain recursive formulas for the volume. But on the other hand the chinese name for the prism is "moat wall", unrelated to this cut.
 
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NumFront said:
I want to ask why prism is called prism. Can you explain please?

The projection of a one-dimensional object (a line) through a three-dimensional object (a solid), creates a two-dimensional object (a plane).

So "A saw cut is a flat surface".

The rest is linguistics history : good luck with that : it's pretty convolute.

calculus
Chalk is pretty easy to break into smaller pieces, then even smaller pieces, etc. ?
 
  • #11
You can get various kinds of prisms by sawing rectangular cuboids. Maybe that's related to the origin of the term?
 

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