極座標系的意思、翻譯和例句

是什麼意思

「極座標系」是一種二維坐標系,使用距離和角度來確定平面上點的位置。在極座標系中,每一個點由一對數值表示:一個是距離原點的距離(通常稱為半徑 r),另一個是從正 x 軸起順時針旋轉的角度(通常稱為角度 θ)。這種系統特別適合描述圓形運動和其他與圓形有關的現象。

依照不同程度的英文解釋

  1. A way to find points using distance and angle.
  2. A method to describe locations with a center point.
  3. A system that uses a center and directions to show where something is.
  4. A way to represent points in space with a central point and an angle.
  5. A coordinate system that uses angles and distances from a center point.
  6. A mathematical system for locating points based on their distance from a center and the angle from a reference direction.
  7. A system that represents points in a plane using radial distances and angular measurements.
  8. A framework for defining points in a plane based on their radial distance from a central origin and their angular displacement.
  9. A mathematical representation of points in a two-dimensional plane utilizing polar coordinates defined by a radius and an angle.
  10. A coordinate framework that specifies locations in a plane using a distance from a reference point and an angle from a reference direction.

相關英文單字或片語的差別與用法

1:Polar Coordinate System

用法:

這是最常見的翻譯,強調使用極座標來定位點。它通常用於數學和物理學中,特別是在處理圓形運動或波動時。極座標系的應用範圍廣泛,從工程設計到天文學的計算都能見到它的身影。

例句及翻譯:

例句 1:

極座標系中,點的位置由半徑和角度決定。

In the polar coordinate system, the position of a point is determined by its radius and angle.

例句 2:

許多科學領域使用極座標系來簡化計算。

Many scientific fields use the polar coordinate system to simplify calculations.

例句 3:

極座標系在描述圓形運動時非常有用。

The polar coordinate system is very useful for describing circular motion.

2:Radial Coordinate System

用法:

這個翻譯強調了系統的放射性特徵,適用於描述從中心向外延伸的點。這種系統常用於物理學和工程學中,尤其是在涉及圓形或放射狀結構的情況下。

例句及翻譯:

例句 1:

放射座標系特別適合描述圓形結構。

The radial coordinate system is particularly suited for describing circular structures.

例句 2:

在放射座標系中,所有點都從中心點向外延伸。

In the radial coordinate system, all points extend outward from a central point.

例句 3:

我們可以使用放射座標系來計算圓的面積。

We can use the radial coordinate system to calculate the area of a circle.