Sin 2 φ is odious to me, even though Laplace made use of…
“Sin 2 φ is odious to me, even though Laplace made use of it; should it be feared that sin 2 φ might become ambiguous, which would perhaps never occur, or at most very rarely when speaking of sin(φ 2 ), well then, let us write (sin φ) 2 , but not sin 2 φ, which by analogy should signify sin (sin φ)”
About This Quote
This interpretation was drafted with AI assistance. It is one reading of the quote, not the author's own explanation.
The expression sin 2φ can be confusing because it may be misinterpreted as (sin φ)² or sin(2φ); the author warns against ambiguous notation.
In simple terms: Sin 2φ is ambiguous; clarify notation.
Key Takeaway
Use clear notation to avoid confusion.
Themes
mathematics
notation
clarity
Mood
cautious
analytical
Type
technical
educational
When to use this quote
- teaching trigonometry
- writing research papers
- communicating formulas
- software implementation
Key Concepts
trigonometry
ambiguity
notation standards
Questions to Reflect On
- How do you ensure notation is unambiguous?
- What conventions help avoid misinterpretation?
A Different Perspective
If readers assume the wrong meaning, errors can propagate.