Russian Translation(s) & Details for 'parabola'

English Word: parabola

Key Russian Translations:

• парабола /pɐˈrabələ/ - [Formal, Used in mathematical and scientific contexts]

Frequency: Medium (Common in academic, scientific, and technical discussions, but rare in everyday conversation)

Difficulty: B2 (Intermediate; Requires familiarity with mathematical terminology and basic Russian noun declensions for learners)

Pronunciation (Russian):

парабола: /pɐˈrabələ/

Note on парабола: The stress falls on the third syllable ('ra'). Pronunciation may vary slightly in regional accents, but this IPA represents standard Russian.

Audio: []

Meanings and Usage:

Mathematical curve (The primary meaning, referring to a U-shaped curve in geometry)

Translation(s) & Context:

• парабола - Used in formal mathematical, physics, or engineering contexts to describe a conic section formed by a plane intersecting a cone.

Usage Examples:

• В уравнении параболы коэффициенты определяют её форму и направление.

  In the equation of a parabola, the coefficients determine its shape and direction.

• Парабола часто используется в физике для моделирования траекторий брошенных объектов.

  The parabola is often used in physics to model the trajectories of thrown objects.

• В графике параболы помогают визуализировать квадратичные функции.

  In graphing, parabolas help visualize quadratic functions.

• Изучение параболы является основой для понимания более сложных кривых в математике.

  Studying the parabola is foundational for understanding more complex curves in mathematics.

• В архитектуре парабола применяется для дизайна арок и мостов.

  In architecture, the parabola is applied to design arches and bridges.

Russian Forms/Inflections:

"Парабола" is a feminine noun in the first declension group. It follows standard Russian noun inflection patterns for case and number. Below is a table of its declensions:

Note: This word does not have irregular forms, making it straightforward for learners once basic declension rules are understood.

Russian Synonyms/Antonyms:

• Synonyms: None direct, but related terms include "квадратичная кривая" (quadratic curve) - used interchangeably in some explanatory contexts, though less precise.
• Antonyms: Not applicable, as this is a specific geometric term without direct opposites.

Related Phrases:

• уравнение параболы - Equation of a parabola; Used in algebra to describe the standard form y = ax² + bx + c.
• вершина параболы - Vertex of a parabola; Refers to the highest or lowest point in a parabolic graph.
• симметрия параболы - Symmetry of a parabola; Describes the line of symmetry in parabolic equations.

Usage Notes:

This translation corresponds directly to the English "parabola" in mathematical contexts. It is primarily used in formal, academic, or technical settings, such as lectures, textbooks, or scientific papers. Be mindful of Russian case endings when using it in sentences (e.g., in genitive for possession). If multiple translations are needed, "парабола" is the standard term; alternatives like "квадратичная кривая" may be used for emphasis but are less common. Learners should practice with declensions to ensure grammatical accuracy in varied contexts.

Common Errors:

• Error: Confusing "парабола" with other curves, such as "эллипс" (ellipse) or "гипербола" (hyperbola), leading to incorrect usage in descriptions.
  Correct: Use "парабола" specifically for U-shaped curves.
  Incorrect Example: "Эллипс описывает траекторию" (when meaning a parabolic path).
  Explanation: This mix-up often stems from similar mathematical properties; always verify the shape being described.

• Error: Forgetting to decline the noun properly, e.g., using nominative in all cases.
  Correct: Adjust for case, as in "изучить параболу" (accusative for direct object).
  Incorrect Example: "О парабол" instead of "О параболе" (prepositional case).
  Explanation: Russian nouns require case agreement, which English speakers might overlook.

Cultural Notes:

As a borrowed term from Greek via Latin, "парабола" lacks significant cultural connotations in Russian beyond its role in mathematics and science education. It reflects Russia's emphasis on STEM fields in academia, where such terms are integral to engineering and physics curricula.

Related Concepts:

• эллипс
• гипербола
• круг