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A trigonometrical ratio to replace thedimensionless angle in radians

机译:用三角比代替弧度的无量纲角

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Equations for use with SI radian units have the option of showing the radian unit or not. When the radian is not shown, identical purely numerical values for angles (θ) are produced in each equation. This is the common procedure. When the radian is shown, not all the θvalues can show a radian unit: some must remain as pure numbers. This procedure is used whenever convenient, usually for extra clarity. The article proposes that the constantly numerical values of 0 be treated as trigonometrical ratios, currently recognised as the 'radian measure' or the 'circular measure' (abbreviated: circ) of angles, and replaced by 'circ θ'. This measure equals the length ratio (subtended arc/radius) for an angle 6 at the circle centre. By this means the need for the dimensionless version of 'angle in radians' vanishes. In fact even dimensional angles in radians need not be used, because 'circ θ' allows any angle units to be used for θ.
机译:与SI弧度单位一起使用的方程式可以选择是否显示弧度单位。当未显示弧度时,在每个方程式中将产生相同的角度(θ)纯数值。这是常见的过程。显示弧度时,并非所有θ值都可以显示弧度单位:有些必须保留为纯数字。只要方便,就会使用此过程,通常是为了更加清楚。该文章建议将恒定数值0视为三角比例,目前被认为是角度的“弧度量度”或“圆形量度”(缩写为circ),并由“ circθ”代替。该度量等于圆心处角度为6的长度比(对弧/半径)。通过这种方式,对“弧度角”的无量纲形式的需求就消失了。实际上,甚至不需要使用弧度的尺寸角度,因为“ circθ”允许将任何角度单位用于θ。

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