正弦定理
Author: 藍邦偉　老師
Date: 7 1 月 2013

$A$

$B$

$C$

$ 正弦定理 $
$\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}=2R$

A = (11.186869409660105, 4.90304114490161)
B = (2.8642576028622524, 0.39402504472272176)
C = (12.532844364937384, -0.0770661896243262)
多邊形1, c, a, b = Polygon(A, B, C)
d = Circle(A, B, C)
s = 0 (slider from 0 to 4, step 1)
α = Angle(B, A, C)
β = Angle(C, B, A)
γ = Angle(A, C, B)
r_1 = Radius(d)
e = LineBisector(B, C)
f = LineBisector(A, C)
O = Intersect(f, e)
r = Segment(O, A)
g = Segment(B, O)
h = Segment(O, C)
text2: "$ \frac{a}{sinA}=\frac{" + (LaTeX[a]) + "}{sin" + (LaTeX[α]) + "} =\frac{" + (LaTeX[a]) + "}{" + (LaTeX[sin(α)]) + "}=" + (LaTeX[a / sin(α)]) + "$"
text3: "$ \frac{b}{sinB}=\frac{" + (LaTeX[b]) + "}{sin" + (LaTeX[β]) + "}=\frac{" + (LaTeX[b]) + "}{" + (LaTeX[sin(β)]) + "}=" + (LaTeX[b / sin(β)]) + " $"
text4: "$ \frac{c}{sinC}=\frac{" + (LaTeX[c]) + "}{sin" + (LaTeX[γ]) + "} =\frac{" + (LaTeX[c]) + "}{" + (LaTeX[sin(γ)]) + "}=" + (LaTeX[c / sin(γ)]) + "$"
text5: "$ 外接圓半徑為R⇒2R=2\times " + (LaTeX[r]) + " =" + (LaTeX[2 * r]) + "$"
text1: "$ \left\lbrace\begin{array}{ll} a=\overline{BC}=" + (LaTeX[a]) + " ,∠A=" + (LaTeX[α]) + "\\ b=\overline{CA}=" + (LaTeX[b]) + ",∠B=" + (LaTeX[β]) + " \\ c=\overline{AB}=" + (LaTeX[c]) + ", ∠C=" + (LaTeX[γ]) + "\end{array}   \right.\  $"