“angle(between lines in the plane)”的概念、定义、翻译、参考文献-科学参考

angle(between lines in the plane)

Mathematics

In coordinate geometry of the plane, the angle α‎ between two lines with gradients m₁ and m₂ is given by

$tan θ = \frac{m_{1} - m_{2}}{1 + m_{1} m_{2}}$

This is obtained from the tan(A−B) formula. In the special cases when m₁m₂=−1 or when m₁ or m₂ is infinite, it has to be interpreted as follows: if m₁ m₂=−1, θ‎ = 90°; if m_i is infinite, θ‎ = 90° −|tan⁻¹ m_j| where j ≠ i; and if m₁ and m₂ are both infinite, θ‎ = 0.

单词	angle(between lines in the plane)
释义	angle(between lines in the plane) Mathematics In coordinate geometry of the plane, the angle α‎ between two lines with gradients m₁ and m₂ is given by $tan θ = \frac{m_{1} - m_{2}}{1 + m_{1} m_{2}}$ This is obtained from the tan(A−B) formula. In the special cases when m₁m₂=−1 or when m₁ or m₂ is infinite, it has to be interpreted as follows: if m₁ m₂=−1, θ‎ = 90°; if m_i is infinite, θ‎ = 90° −\|tan⁻¹ m_j\| where j ≠ i; and if m₁ and m₂ are both infinite, θ‎ = 0.
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