E^2 = A^2 + D^2 - 2 * A * D * cos(180" - 30" - theta)
E = sqrt (A^2 + D^2 - 2 * A * D * cos(180" - 30" - theta) )
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D * sin ( AE) = E * sin (180" - 30" - theta)
sin(AE) = E * sin (180" - 30" - theta) / D
AE = sin^(-1) (E * sin (180" - 30" - theta) / D)
.. ˻ص ͳ ļļ.. ߰ϸ
ٸ theta
̴ Ҳ
AE
sin^(-1) ( sqrt (A^2 + D^2 - 2 * A * D * cos(180" - 30" - theta) ) * sin (180" - 30" - theta) / D )
E=sqrt[{A-D*cos(180-30-alpha)}^2+{D*sin(180-30-alpha)}^2]
ang(AE)=atan2[A-D*cos(180-30-alpha),D*sin(180-30-alpha)]
E = sqrt (A^2 + D^2 - 2 * A * D * cos(180" - 30" - theta) )
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D * sin ( AE) = E * sin (180" - 30" - theta)
sin(AE) = E * sin (180" - 30" - theta) / D
AE = sin^(-1) (E * sin (180" - 30" - theta) / D)
.. ˻ص ͳ ļļ.. ߰ϸ
ٸ theta
̴ Ҳ
AE
sin^(-1) ( sqrt (A^2 + D^2 - 2 * A * D * cos(180" - 30" - theta) ) * sin (180" - 30" - theta) / D )
ѱ ̷ Ծ° ˼մϴ....
Pythagoras theorem Ǯ... DZ... E () ϴ° Ʈ ɲϴ...
E^2 = (D * cos a + B)^2 + (D * sin a -C )^2 ̴ϱ...
E = SQRT ((D * cos a + B)^2 + (D * sin a)^2 - C) ̰ڳ...
1. ʻﰢ ǰ ´ʿ ° Դϴ... ֳ 츮 ߿ ѱ ֱԴϴ...
B C ߿մϴ...
D * cos a + B x ǥŸ ...
Ǵٸ ǵ y ǥŸԴϴ...
P1 ǥ (-B, C), P2 ǥ (D*cos(a), D*sin(a))
2 ǥ ̿ ϴ.
p1.x = -B
p1.y = C
p2.x = D*cos(a)
p2.y= D*sin(a)
E = sqrt ( (p2.x-p1.x)^2 + (p2.y-p1.y)^2 )
tan ( E ) = (p2.y-p1.y)/(p2.x-p1.x)
E = atan2(p2.y-p1.y, p2.x-p1.x)
A E = E + 30
= atan2(p2.y-p1.y, p2.x-p1.x) + PI/6