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±×¸²°ú °°ÀÌ ¹ÝÁö¸§ R ÀÎ ¿øÀÇ ¿ÜºÎ·Î H ¸¸Å­ ¶³¾îÁø Á¡ P ¿¡¼­ ¿ø¿¡ Á¢ÇÏ´Â µÎ ¼±ºÐÀ» ±×¾ùÀ» ¶§, µÎ Á¢Á¡ÀÌ ¸¸µå´Â ÇöÀÇ ±æÀ̸¦ ±¸ÇÑ´Ù.

¼±ºÐÀÇ ±æÀ̸¦ S ¶ó Çϸé,

S^2 = (R+H)^2 - R^2

S = (2*R*H + H^2)^(1/2)

ÀÌ µÈ´Ù.

¶ÇÇÑ, R+H = a+b À̹ǷÎ, »ï°¢ÇüÀÇ ´àÀ½ºñ¸¦ ÀÌ¿ëÇϸé, ¾Æ·¡ °ü°è°¡ ¼º¸³ÇÑ´Ù.

R : S = a : D/2 = D/2 : b

R*(D/2) = S*a
R*b = S*(D/2)
a*b = (D/2)^2

ÀÌ·Î ºÎÅÍ, ÇöÀÇ ±æÀÌ D ¸¦ ±¸ÇÒ ¼ö ÀÖ´Ù.

a = R*(D/2)/S
b = S*(D/2)/R

a+b = R+H = R*(D/2)/S + S*(D/2)/R = (R/S + S/R)*(D/2)

D/2 = (R+H)/(R/S + S/R) = (R+H)(R*S)/(R^2+S^2) = (R+H)(R*(2*R*H + H^2)^(1/2))/(R+H)^2

D = (2/(R+H))*(R*(2*R*H + H^2)^(1/2))

*** Âü°í¹®Çå[References] ***

D = (2/(R+H))*(R*(2*R*H + H^2)^(1/2))
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