I7<=Odd +(I)  1Courier NewTimes New Roman1Courier New1Courier NewTimes New RomanTimes New Roman1Courier New1Courier New1Courier New1Courier NewX|VX|VX|VX|V?/ <```@@@?~~~~~ԱޱޱԱ޿޿ph (((Pdd{ d< p {2 W?[Ap#JO@JΊŕ@GIʪ%ɪ@ ???@@@@@@033333??@^ߛOw?̌???98Ic@VН@@?@ @@@Їu_?c*w?@?@?@@dddddddddddddddddddddddddddddddddddddddd 2??h!@$$$h!@???????8<@DHLP\\nq,Ja!r = a; 0.000000 <= t <= 6.283185$0.000000000000000;6.283185307179586PPP 2 2??@$$$@???????@? !"#$%KdLS8@9(b+d)*(sqrt(a^2-(b+d)^2-x^2)/sqrt(abs(a^2-(b+d)^2-x^2)))Xy = (b+d)*(sqrt(a^2-(b+d)^2-x^2)/sqrt(abs(a^2-(b+d)^2-x^2))); 0.000000 <= x <= 5.000000$0.000000000000000;5.0000000000000002???$$$ >I^9@??????? TX\`dhlL00sqrt(a^2-b^2)bseg (0,0) to (sqrt(a^2-b^2),b)2???$$$c-*@p= ף??????? &'()*+-X +x(00sqrt(a^2-(b+d)^2)b+d%seg (0,0) to (sqrt(a^2-(b+d)^2),b+d)2??h!@$$$h!h!????????ptx|6\,?8R4ha*sqrt(arcsin((b+d)/a)-t)/sqrt(abs(arcsin((b+d)/a)-t))*sqrt(t-arcsin((b)/a))/sqrt(abs(t-arcsin((b)/a)))r = a*sqrt(arcsin((b+d)/a)-t)/sqrt(abs(arcsin((b+d)/a)-t))*sqrt(t-arcsin((b)/a))/sqrt(abs(t-arcsin((b)/a))); -1.570796 <= t <= 1.570796%-1.570796326794896;1.5707963267948962??h!@$$$h!h!????????./ 01234x   w  5 ha*sqrt(t-arcsin((b+d)/a))/sqrt(abs(arcsin((b+d)/a)-t))*sqrt(arcsin((b)/a)-t)/sqrt(abs(t-arcsin((b)/a)))r = a*sqrt(t-arcsin((b+d)/a))/sqrt(abs(arcsin((b+d)/a)-t))*sqrt(arcsin((b)/a)-t)/sqrt(abs(t-arcsin((b)/a))); -1.570796 <= t <= 1.570796%-1.570796326794896;1.570796326794896 2 2??@$$$@???????@?z5 (l k A-b*(sqrt(a^2-b^2-x^2)/sqrt(abs(a^2-b^2-x^2)))Ly = b*(sqrt(a^2-b^2-x^2)/sqrt(abs(a^2-b^2-x^2))); 0.000000 <= x <= 5.000000$0.000000000000000;5.0000000000000002???$$$ >I^9@? >I^9@p= ף??????? 5$6(7,8094:8;AH~4sqrt(a^2-b^2)bsqrt(a^2-b^2)b+d-seg (sqrt(a^2-b^2),b) to (sqrt(a^2-b^2),b+d)2???$$$c-*@p= ף? >I^9@p= ף???????\sqrt(a^2-(b+d)^2)b+dsqrt(a^2-b^2)b+d3seg (sqrt(a^2-(b+d)^2),b+d) to (sqrt(a^2-b^2),b+d)2??h!@$$$h!????????<<@=D>H?L@PATBD$ ( xi+0E/1*sqrt(arcsin(b/a)-t)/sqrt(abs(arcsin(b/a)-t))Nr = 1*sqrt(arcsin(b/a)-t)/sqrt(abs(arcsin(b/a)-t)); 0.000000 <= t <= 1.570796$0.000000000000000;1.5707963267948972??h!@$$$h!???????Ԏȋ?\ /1*sqrt(t-arcsin(b/a))/sqrt(abs(arcsin(b/a)-t))Or = 1*sqrt(t-arcsin(b/a))/sqrt(abs(arcsin(b/a)-t)); -1.570796 <= t <= 0.000000%-1.570796326794897;0.0000000000000002??h!@$$$@???????XC\D`EdFhGlHpIn gx3a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a))t[(x,y) = (a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a)),t); -5.000000 <= t <= 5.000000%-5.000000000000000;5.0000000000000002??h!@$$$@???????  !l"RP(X%4-a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a))t\(x,y) = (-a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a)),t); -5.000000 <= t <= 5.000000%-5.000000000000000;5.000000000000000(b+d)*(sqrt(a2??h!@$$$@???????tJxK|LMNOPw187<<|Ht3a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a))[(x,y) = (t,a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a))); -5.000000 <= t <= 5.000000%-5.000000000000000;5.0000000000000002-(b+d)^2-x^2)/sqrt(2??h!@$$$@???????   3I%OO[t4-a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a))\(x,y) = (t,-a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a))); -5.000000 <= t <= 5.000000%-5.000000000000000;5.000000000000000bs(a^2-(b+d)^2-x^2))2???$$$ >I^9@???????QRSTUVW`Dkx46 h60-asqrt(a^2-b^2)b seg (0,-a) to (sqrt(a^2-b^2),b)2???$$$???????  $(,0<ؑ!P00obseg (0,0) to (o,b)22??h!@$$$h!?h!@???????XYZ[\]^ |Xl<sqrt(a^2-b^2)+.75*d*cos(t)*sqrt(arctan((sqrt(a^2-b^2)-sqrt(a^2-(b+d)^2))/d)-t+pi/2)/sqrt(abs(arctan((sqrt(a^2-b^2)-sqrt(a^2-(b+d)^2))/d)-t+pi/2))b+.75*d*sin(t)*sqrt(arctan((sqrt(a^2-b^2)-sqrt(a^2-(b+d)^2))/d)-t+pi/2)/sqrt(abs(arctan((sqrt(a^2-b^2)-sqrt(a^2-(b+d)^2))/d)-t+pi/2))(x,y) = (sqrt(a^2-b^2)+.75*d*cos(t)*sqrt(arctan((sqrt(a^2-b^2)-sqrt(a^2-(b+d)^2))/d)-t+pi/2)/sqrt(abs(arctan((sqrt(a^2-b^2)-sqrt(a^2-(b+d)^2))/d)-t+pi/2)),b+.75*d*sin(t)*sqrt(arctan((sqrt(a^2-b^2)-sqrt(a^2-(b+d)^2))/d)-t+pi/2)/sqrt(abs(arctan((sqrt(a^2-b^$1.570796326794896;3.1415926535897932???$$$ >I^9@?????? 48<@DHL t1xTx200sqrt(a^2-b^2)0seg (0,0) to (sqrt(a^2-b^2),0)2???$$$ >I^9@ >I^9@??????? _`abP!T"X#XXZ@Asqrt(a^2-b^2)bsqrt(a^2-b^2)0+seg (sqrt(a^2-b^2),b) to (sqrt(a^2-b^2),0)2??h!@$$$h!????????\$`%d&h'l(p)t*vpL8 wsqrt(a^2-b^2)+.75*d*cos(t)*sqrt(arctan((-sqrt(a^2-b^2)+sqrt(a^2-(b+d)^2))/d)+t-pi/2)/sqrt(abs(arctan((-sqrt(a^2-b^2)+sqrt(a^2-(b+d)^2))/d)+t-pi/2))b+.75*d*sin(t)*sqrt(arctan((-sqrt(a^2-b^2)+sqrt(a^2-(b+d)^2))/d)+t-pi/2)/sqrt(abs(arctan((-sqrt(a^2-b^2)+sqrt(a^2-(b+d)^2))/d)+t-pi/2))(x,y) = (sqrt(a^2-b^2)+.75*d*cos(t)*sqrt(arctan((-sqrt(a^2-b^2)+sqrt(a^2-(b+d)^2))/d)+t-pi/2)/sqrt(abs(arctan((-sqrt(a^2-b^2)+sqrt(a^2-(b+d)^2))/d)+t-pi/2)),b+.75*d*sin(t)*sqrt(arctan((-sqrt(a^2-b^2)+sqrt(a^2-(b+d)^2))/d)+t-pi/2)/sqrt(abs(arctan((-sqrt(a^$0.000000000000000;1.570796326794896xyz@?`(\?JXT@@@@@?@@@@@@@@@@@@@@@@@@@@@@RW$RW$RW$Archimedian Property of a Sphere to to chord = Pi*L^2 = /\V>@5Mo@M^,2@Times New Roman0,dzhimedian Property of a SpherehPt3PԝdO<}s[6,Mw ?YIy?Times New Roman,Similarity: ds is to dz like a is to r +B.n?H?vpO9IagK{@@@Times New Roman-2Pi r ds = 2Pi a dz dz like a is to r n(b/a)-t)); -1.570793UE_P!c~@zEq@Times New RomanX.zi r ds = 2Pi a dz-b^2),b)(t-a))sqrt(t+a)/sqrt(abs(t+a)));@-t R`.S<܈ةq@*?*٘?Times New Roman/aPVYAnbfKP3PhPPtIsa=Ʃ?j~@`6v^?1g?Times New Roman/LPTغlۺ ?غ\ٺd?-g@(st5FbTimes New Roman0rPٺKP3PhPٺٺt3P M?pFZ&?*>?۹Xԙ@Times New Roman81r^2 = a^2 - z^2`'Wv?jVSH@5mѯ@qER6@Times New Roman1 L^2 = (a+z)^2 + r^2 KP3PhPsGp@,{@{ 0y&oTimes New Roman2  dS = 2Pi a dz of Surface AreadS = 2Pi a dzt3Pڈ¿:?fH ?58?Times New Roman`3 So, the element of Surface Area dS@?@vZ ]@B+_fp@gH:3w@Times New Roman4 L^2 = a^2 + 2az + z^2 +a^2 - z^2S8HǍq?,{@P>ޛkUTimes New Roman4 L^2 = 2a^2 + 2az z^2 +a^2 - z^2KP3PhP`֭ȭ@,{@8_=u# 񴴚Times New Roman5So, LdL = 2a dz]LۺackgroundEPPwXTl@`0,,E@ $\9dfTimes New Roman@6So, dS = Pi LdL3PhPt3P։ @e @L4d4L8@Times New Roman6ds dS = Pi LdL(abs(t+a))); -5.000000 <= t <= 5.000000arcsL>[@4z@(f# l?&TEt?Times New Romanr = a; 0.000000000000000 <= t <= 6.283185307179586p/^@YCc}BS@1Courier New h8y = (b+d)*(sqrt(a^2-(b+d)^2-x^2)/sqrt(abs(a^2-(b+d)^2-x^2)))p/^@YCc} Ĩ@1Courier New 9seg (0,0) to (sqrt(a^2-b^2),b)a)p/^@YCc}aEi?1Courier New 9seg (0,0) to (sqrt(a^2-(b+d)^2),b+d)p/^@YCc}鈫*ȱ?1Courier New :r = a*sqrt(arcsin((b+d)/a)-t)/sqrt(abs(arcsin((b+d)/a)-t))*sp/^@YCc}z6 E?1Courier New H;r = a*sqrt(t-arcsin((b+d)/a))/sqrt(abs(arcsin((b+d)/a)-t))*sp/^ŕ@yϋ׃tK?1Courier New <y = b*(sqrt(a^2-b^2-x^2)/sqrt(abs(a^2-b^2-x^2))); 0.000000 <p/^ŕ@ ?7:t}?1Courier New <seg (sqrt(a^2-b^2),b) to (sqrt(a^2-b^2),b+d)|!t3Pp/^ŕ@ ?0dr?1Courier New p=seg (sqrt(a^2-(b+d)^2),b+d) to (sqrt(a^2-b^2),b+d)**p/^ŕ@ ?'vxLǙ?1Courier New (> r = 1*sqrt(arcsin(b/a)-t)/sqrt(abs(arcsin(b/a)-t)); -1.57079 p/^ŕ@ ?@v6g8?1Courier New > r = 1*sqrt(t-arcsin(b/a))/sqrt(abs(arcsin(b/a)-t)); -1.57079 p/^ŕ@ ?7P6?1Courier New ? (x,y) = (a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a)),p/^ŕ@ ?F(Ӡ ?1Courier New P@ (x,y) = (-a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a))p/^ŕ@ ?lMt>1Courier New A (x,y) = (t,a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+a)p/^ŕ@ ?Ɗ@1Courier New A(x,y) = (t,-a*sqrt(a-t)/sqrt(abs(t-a))sqrt(t+a)/sqrt(abs(t+ap/^ŕ@ ? IPv1Courier New xBseg (0,-a) to (sqrt(a^2-b^2),b)wp/^ŕ@ ?$H0[1Courier New 0Cseg (0,0) to (o,b)׺U88/p/^ŕ@ ?^ w1Courier New C(x,y) = (sqrt(a^2-b^2)+.75*d*cos(t)*sqrt(arctan((sqrt(a^2-b^ p/^ŕ@yϋ׃4 !h1Courier New Dseg (0,0) to (sqrt(a^2-b^2),0)̳Pp/^ŕ@yϋ׃0Y\LH1Courier New XEseg (sqrt(a^2-b^2),b) to (sqrt(a^2-b^2),0)e5˳Pp/^ŕ@yϋ׃=ܲ01Courier New F(x,y) = (sqrt(a^2-b^2)+.75*d*cos(t)*sqrt(arctan((-sqrt(a^2-b p/^ŕ@yϋ׃I_ 1Courier New @@@h!@