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ÀÛ¼ºÀÚ Uploader : atom ÀÛ¼ºÀÏ Upload Date: 2021-01-29º¯°æÀÏ Update Date: 2021-01-29Á¶È¸¼ö View : 680

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´ÙÀ½°ú °°ÀÌ ¹ÌÁö¼ö°¡ x, y, zÀΠ ¼¼ ¿¬¸³¹æÁ¤½ÄÀ» Ǭ´Ù.

¨ç a1x+b1y+c1z = r1
¨è a2x+b2y+c2z = r2
¨é a3x+b3y+c3z = r3

¿©±â¼­, a1, a2, a3´Â xÀÇ °è¼ö, b1, b2, b3´Â yÀÇ °è¼ö, c1, c2, c3´Â zÀÇ °è¼öÀÌ°í, r1, r2, r3 »ó¼öÇ×ÀÌ´Ù.

½Ä ¨ç°ú ½Ä ¨è, ½Ä ¨è¿Í ½Ä ¨éÀ» ÀÌ¿ëÇÏ¿© z¸¦ ¼Ò°ÅÇϸé,

(a1-a2*c1/c2)x + (b1-b2*c1/c2)y = r1-r2*c1/c2 ¡æ ¨ë A1x + B1y = R1
(a1-a3*c1/c3)x + (b1-b3*c1/c3)y = r1-r3*c1/c3 ¡æ ¨ì A2x + B2y = R2

¿©±â¼­, A1, B1, R1, A2, B2, R2´Â ´ÙÀ½°ú °°´Ù.

A1=a1-a2*c1/c2
B1=b1-b2*c1/c2
R1=r1-r2*c1/c2
A2=a1-a3*c1/c3
B2=b1-b3*c1/c3
R2=r1-r3*c1/c3

x = (R1-R2*B1/B2) / (A1-A2*B1/B2) = (R1*B2-R2*B1)/(A1*B2-A2*B1)

x = ((r1-r2*c1/c2)*(b1-b3*c1/c3)-(r1-r3*c1/c3)*(b1-b2*c1/c2)) / ((a1-a2*c1/c2)*(b1-b3*c1/c3)-(a1-a3*c1/c3)*(b1-b2*c1/c2))

y = (R1-A1*x)/B1
  = ((r1-r2*c1/c2)-(a1-a2*c1/c2)*x)/(b1-b2*c1/c2)

z = (r1-a1*x-b1*y)/c1
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