enlarged epicycloid (english) - meaning, definition, translation, pronunciation

Part of Speech

Noun

Phonetic Transcription

/ɪnˈlɑːrdʒd ˌɛpɪˈsaɪkloɪd/

Meaning and Usage

An enlarged epicycloid refers to a specific type of curve generated by the motion of a point on the circumference of a smaller circle rolling around the outside of a larger fixed circle. The term "enlarged" typically implies that the size of the epicycloid in question is greater than a standard epicycloid. These types of curves are often studied in geometry, physics, and engineering.

The phrase is used more in written contexts, particularly in technical literature, articles about mathematics, and engineering fields. It isn’t commonly found in everyday oral speech.

Example Sentences

1. The mathematician demonstrated how the enlarged epicycloid could be constructed using simple geometric tools.

2. Ученый продемонстрировал, как можно построить увеличенный эпициклоид с использованием простых геометрических инструментов.

3. In the advanced geometry class, students were tasked with calculating the area under an enlarged epicycloid.

4. На занятиях по высшей геометрии студентам было поручено вычислить площадь под увеличенным эпициклоидом.

5. The properties of enlarged epicycloids are essential in understanding the motion of gear systems.

6. Свойства увеличенных эпициклоидов важны для понимания движения зубчатых передач.

Idiomatic Expressions

While the term "enlarged epicycloid" itself is not commonly associated with idiomatic expressions, it may relate to more general mathematical phrases or concepts. However, here are some mathematical idiomatic expressions that could be relevant in advanced discussions:

1. Round and round in circles
   Some find themselves going round and round in circles when trying to visualize an enlarged epicycloid.

2. Некоторые оказываются в круговороте, пытаясь визуализировать увеличенный эпициклоид.

3. The bigger picture
   Understanding the enlarged epicycloid helps grasp the bigger picture of mathematical curves.

4. Понимание увеличенного эпициклоида помогает осознать более широкую картину математических кривых.

5. Cut a long story short
   To cut a long story short, the enlarged epicycloid is crucial for applications in mechanical design.

6. Короче говоря, увеличенный эпициклоид имеет важное значение для приложений в механическом дизайне.

7. On the same wavelength
   When discussing the enlarged epicycloid, engineers need to be on the same wavelength.

8. Обсуждая увеличенный эпициклоид, инженеры должны находиться на одной волне.

Etymology

The term "epicycloid" originates from the combination of "epi-" meaning "upon" or "over" in Greek, and "cycle," derived from the Greek "kyklos," meaning "circle." The term "enlarged" comes from the Old French "enlargir," meaning "to increase in size," combined with the English suffix "-ed" indicating the completed action.

Synonyms and Antonyms

Synonyms: - Enlarged curve - Scale-up epicycloid

Antonyms: - Reduced epicycloid - Diminished curve

This comprehensive breakdown provides insights into the term "enlarged epicycloid," its meanings, usage, and related aspects in English language.