Noun Phrase
/ˌdʒiːəʊˈdɛsɪkli ˈpærəˌlɛl kɜrvz/
"Geodesically parallel curves" refers to curves that maintain a constant distance from each other on a curved surface. This concept is often encountered in fields like differential geometry, general relativity, and other areas of advanced mathematics and physics. The term is rarely used in everyday conversation and is more common in technical literature, academic discussions, and formal teaching. Its frequency of use is restricted to specialized fields, and it is predominantly found in written contexts rather than oral speech.
Geodesically parallel curves can illustrate the principles of space-time in the context of general relativity.
Геодезически параллельные кривые могут иллюстрировать принципы пространства-времени в контексте общей теории относительности.
The study of geodesically parallel curves is a fundamental aspect of modern geometric theories.
Изучение геодезически параллельных кривых является основополагающим аспектом современных геометрических теорий.
To understand geodesically parallel curves, one must first grasp the fundamentals of differential geometry.
Чтобы понять геодезически параллельные кривые, необходимо сначала усвоить основы дифференциальной геометрии.
While "geodesically parallel curves" itself is not commonly integrated into idiomatic expressions, the concepts surrounding geometry and parallelism do permeate mathematical discussions and metaphysical dialogues. Below are some related idiomatic expressions based on the themes encapsulated by the term.
"Parallel lives" - Refers to two people whose lives follow similar paths but never intersect.
Their careers have run in parallel lives, with both achieving success in their respective fields.
Их карьеры шли параллельными жизненными путями, и оба добились успеха в своих областях.
"Stay on parallel paths" - To remain in alignment with someone’s goals or visions but not directly collaborating.
We will stay on parallel paths, supporting each other from a distance in our endeavors.
Мы будем оставаться на параллельных путях, поддерживая друг друга в наших начинаниях издалека.
"Running alongside..." - Indicates two ideas or themes existing together without merging or intersecting.
The two theories run alongside each other, providing different insights into the same phenomenon.
Эти две теории идут бок о бок, предлагая разные взгляды на один и тот же феномен.
The term "geodesically" derives from the word "geodesic," which comes from the Greek "geōdasia" (γεωδασία), meaning "to measure the earth." The "parallel curves" part stems from the Latin "parallelos," meaning "beside one another." Together, the term denotes curves that maintain a specific measurement relationship on a curved surface.
Understanding the nuances of "geodesically parallel curves" requires a specialized study in geometry and related mathematical fields, emphasizing the importance of relational concepts in advanced mathematical theories.