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gema [email protected]%HOMEDRIVE%%HOMEPATH%MIPC> PROPERTIES> PESTANA OPCIONES AVANZADAS> VARIABLES DE ENTORNO> "VARIABLES DEL SISTEMA"Y CONFIGURE "ANSYS145_DIR" EN: [NO ESTABA]F:\Archivos de programa\ANSYS Inc\v145\ANSYSESTA VARIABLE "ANSYS_SYSDIR" SI ESTABA PERO SIN RUTA SOLO PONE "intel"le voy a poner esta ruta a ver si funcionaF:\Archivos de programa\ANSYS Inc\v145\ansys\bin\intel************** no funciona lo deje como intelcopie el archivo llamado asinfo.dllF:\Archivos de programa\ANSYS Inc\v145\commonfiles\launcher\liba la rutaF:\Archivos de programa\ANSYS Inc\v145\********* ahora me da error la ANSYS licence managerANSYS PRODUCTS V14.5.7 WIN32 WIN64-MAGNiTUDEWIN32: 4.89GB | WIN64: 6.35GBANSYS 14 provides a great number of new and advanced features that deliver solutions for customers to amplify engineering, simulate their most complex engineered products, and drive innovation with high-performance computing (HPC). ANSYS PRODUCTS V14.5.7 WIN32 WIN64-MAGNiTUDEThe many new features in ANSYS 14 deliver additional physics depth and breadth that can be scaled to meet the changing needs of customers. The advances have been developed with guidance from our most innovative customers, delivering a comprehensive solution for Simulation Driven Product Development.Installation:1. Unpack&Install2. Read .txt from /MAGNiTUDE dir3. Enjoy!DOWNLOAD:Uploaded.Net = High 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Link (Check if links die)http://uploaded.net/f/fgw3af/http://rapidgator.net/folder/1785025/ANSYS.PRODUCTS.V14.5.7-MAGNiTUDE.html-------------------------------------------------------------------------------------------http://www.heroturko.me/3246170-simulia-abaqus-612-3-x32x64.htmlSimulia Abaqus 6.12-3 (x32/x64) | 3.0 Gbuploadedhttp://uploaded.net/file/8tl4qlvw/absimu6123.part4.rarhttp://uploaded.net/file/ww7rr9rv/absimu6123.part5.rarhttp://uploaded.net/file/zln75co4/absimu6123.part2.rar*http://uploaded.net/file/yazf2omu/absimu6123.part1.rarhttp://uploaded.net/file/h16ifwuj/absimu6123.part3.rarryusharehttp://ryushare.com/3134234c5e6f/absimu6123.part1.rarhttp://ryushare.com/2e79a55d9d96/absimu6123.part2.rarhttp://ryushare.com/304b4ea7c118/absimu6123.part3.rarhttp://ryushare.com/3134234c5e70/absimu6123.part4.rarhttp://ryushare.com/2f627a02b0cd/absimu6123.part5.rarhttp://pattcivil.blogspot.com.es/2013/05/simulia-abaqus-612-3-x86-x64.html--------------------------------------------------------------------------------------------------------[b]Lee Mac[/b]r=45 curve it is not defined into 0 [x,x1,y1,b,d]=solve('(y-y1)*(b-y1)=x1*(x-x1)','(y-y1)*(d-y1)=x1*(x-x1)','x=0','y1=b+45','y1=d+80.6')x = b - 35.6 x1 = 0 y1 = 0 b = b + 45.0 d = b + 45.0--------------------------------------------------------------------------------------------------------------------[x,y,d]=solve('x^2+(y-d)^2=(80.6^2)','y=-tand(34)*x','(y*(tand(56))^2)+((y+d)^2)=80.6^2','x,y,d')g= -(0.5*(8.0*tand(34)^4*tand(56)^2 - 2.0*tand(34)^2*tand(56)^2 + tand(34)^2*(2.56*(5.0*tand(34)*tand(56)^2 + 1612.0*tand(34)^2 + 403.0)*(1612.0*tand(34)^2 - 5.0*tand(34)*tand(56)^2 + 403.0))^(1/2)))/(8.0*tand(34)^2 + 16.0*tand(34)^4 + 1.0) - (0.5*(2.0*tand(34)^2*tand(56)^2 - 8.0*tand(34)^4*tand(56)^2 + tand(34)^2*(2.56*(5.0*tand(34)*tand(56)^2 + 1612.0*tand(34)^2 + 403.0)*(1612.0*tand(34)^2 - 5.0*tand(34)*tand(56)^2 + 403.0))^(1/2)))/(8.0*tand(34)^2 + 16.0*tand(34)^4 + 1.0)--------------------------------------------------------------------------------------------------------------------[x,y,d]=solve('(x^2)+(y-d)^2=(6496.36)','y=-0.6745*x','(x^2)+(y+d)^2=(6496.36)','x,y,d')--------------------------------------------------------------------------------------------------------------------x=linspace(0,-100)y=linspace(0,100)x=((6496.36)-(y-d)^2)^0.5--------------------------------------------------------------------------------------------------------------------[x,y,d]=solve('(x^2)+(y-d)^2=(6496.36)','y=-0.6745*x','((1.66428*y)^2)+(y+d)^2=(6496.36)','x,y,d')--------------------------------------------------------------------------------------------------------------------[x,y,d,t]=solve('(x^2)+((y-d)^2)=(6496.36)','y=(-0.6008)*x','x=80.6*cosd(t)','y=(80.6*sind(t))-d','x,y,d,t')--------------------------------------------------------------------------------------------------------------------[x,y,d]=solve('(x^2)+((y-d)^2)=(6496.36)','x=y*tand(59)','(x^2)+((y+d)^2)=(6496.36)','x,y,d')--------------------------------------------------------------------------------------------------------------------[x,y,d,t]=solve('(x^2)+((y-d)^2)=(6496.36)','x=y*tand(59)','x=80.6*cosd(t)','y=(80.6*sind(t))-d','x,y,d,t')--------------------------------------------------------------------------------------------------------------------[x,y,d,t]=solve('(x^2)+((y-d)^2)=(6496.36)','x=y*tand(59)','t=acosd(x/80.6)','t=asind((y+d)/80.6)','x,y,d,t')--------------------------------------------------------------------------------------------------------------------[x,y,x1,y1,d]=solve('y-y1=(x1*(x-x1))/(d-y1)','tand(59)=x1/y1','80.6^2=x1^2+(y1+d)^2','80.6^2=d^2+(x1^2+y1^2)','80.6^2=d^2+(x1^2+y1^2)-(2*cosd(121)*d*(sqrt(x1^2+y1^2)))','x,y,x1,y1,d')esta tampoco------------------------------edx 2.01x% Define the coefficient matrix aa = [4/5,1,0,0,0,0;...3/5,0,0,0,0,0;...-(3/5),0,1,(3/5),0,0;...4/5,0,0,4/5,0,0;...0,-1,0,0,0,1;...0,0,0,0,1,0] % Define the right-hand-side vector bb = [0;400;0;-300;0;300] % Solve for solution vectorX =a\b-------------------------------------------------------a=[4/5,1,0,0,0,0;...1,0,0,0,0,0;...0,0,1,0,0,0;...4/5,0,0,0,0,1;...-4/5,0,0,4/5,1,0;...-3/5,0,-1,-3/5,0,0]b=[0;5*400/3;300;0;0;0]-------------------------------------------------------a=[-4/5,4/5,0,0,0,0,0,0;...-3/5,-3/5,-1,0,0,0,0,0;...0,0,0,1,-1,0,0,0;...0,0,1,0,0,0,0,0;...4/5,0,0,0,1,1,0,0;...3/5,0,0,0,0,0,1,0;...0,-4/5,0,-1,0,0,0,0;...0,3/5,0,0,0,0,0,1]b=[0;0;-1.4142;1.4142;0;0;0;0]-------------------------------------------------------a=[-1,1,-sqrt(2)/2,0,0,0;...0,0,-sqrt(2)/2,-1,0,0;...0,-1,0,0,-sqrt(2)/2,0;...0,0,0,0,-sqrt(2)/2,0;...0,0,0,0,sqrt(2)/2,-1;...0,0,0,1,sqrt(2)/2,0]b=[0;0;0;2;0;0]x=a\ba = [-1,1,-.71,0,0,0;0,0,-.71,-1,0,0;0,-1,0,0,-.71,0;0,0,0,0,.71,0;0,0,0,0,.71,-1;0,0,0,1,.71,0];b = [0;0;0;-2;0;0];X = a\bx = 4.0000 2.0000 -2.8284 2.0000 -2.8284 -2.0000-------------------------------------------------------a=[-1,1,-sqrt(2)/2,0,0,0,0,0,0,0;...0,0,-sqrt(2)/2,-1,0,0,0,0,0,0;...0,-1,0,0,-sqrt(2)/2,0,0,0,0,0;...0,0,0,0,-sqrt(2)/2,0,0,0,0,0;...0,0,0,0,sqrt(2)/2,-1,0,0,0,0;...0,0,0,1,sqrt(2)/2,0,0,0,0,0;...1,0,0,0,0,0,1,0,0,0;...0,0,0,0,0,0,0,1,0,0;...0,0,sqrt(2)/2,0,0,1,0,0,1,0;...0,0,sqrt(2)/2,0,0,0,0,0,0,1]b=[0;0;0;2;0;0;0;0;0;0]x=a\b-----------------------------------------------------------a=[-1,0,-sqrt(2)/2,0,0,0,0,0;...0,0, sqrt(2)/2,0,0,0,0,0;...0, -sqrt(2)/2, sqrt(2)/2,-1,0,0,0,0;...0, -sqrt(2)/2,-sqrt(2)/2,0,0,0,0,0;...1, sqrt(2)/2,0,0,1,0,0,0;...0 sqrt(2)/2,0,0,0,1,0,0;...0,0,0,0,0,0,0,1;...0,0,0,1,0,0,1,0]-----------------------------------------------------------a=[0,4/5,0,sqrt(2)/2,0,0,0,0;...0,-3/5,1,-sqrt(2)/2,0,0,0,0;...-1,0,0,sqrt(2)/2,0,0,0,0;...0,0,0,sqrt(2)/2,0,0,0,0;...0,0,0,0,0,0,1,0;...0,0,-1,0,0,0,0,1;...1,4/5,0,0,1,0,0,0;...0,3/5,0,0,0,1,0,0]b=[800;0;0;400;0;0;0;0]x=a\bx = 400.0000 500.0000 700.0000 565.6854 -800.0000 -300.0000 0 700.0000-----------------------------------------------------------------------------------------------------------[x,y,d,t]=solve('(x^2)+((y-d)^2)=(6496.36)','y=(-0.6008)*x','x=80.6*cosd(t)','y=(80.6*sind(t))-d','x,y,d,t')[x1,y1,x2,y2,x3,y3,x4,y4,a,b,c,d,e,f,g,h]=solve[x1,y1,a,b,c,d]=solve('((x1-a)^2)+((y1-b)^2)=45^2)',...'((x1-c)^2)+((y1-d)^2)=80.6^2)',...'x1=0',...'a=0',...'c=0',...'((a-x1)/(b-y1))=((c-x1)/(d-y1))','x1,y1,a,b,c,d,')x1=linspace(0,100)y1=linspace(0,100)a=0b=0[x1,y1,a,b]=solve('((x1-a)^2)+((y1-b)^2)=45^2)','a=0','b=0','x1','y2','a','b')syms x1 y1 a b c d[x1,y1,a,b,c,d]=solve('((x1-a)^2)+((y1-b)^2)=45^2)','((x1-c)^2)+((y1-d)^2)=80.6^2)','x1=0','a=0','c=0','((a-x1)/(b-y1))=((c-x1)/(d-y1))','x1,y1,a,b,c,d,')------------------------------------------------------syms x1 y1 a b c d[xc,yc]=solve('(x1-a)^2+(y1-b)^2=45^2',...'(x1-c)^2+(y1-d)^2=80.6^2',...'x1=0',...'a=0',...'c=0',...'(a-x1)/(b-y1)=(c-x1)/(d-y1)')------------------------------------------------------***** da errorsyms x y a b[xc,yc]=solve('y=-tand(31)*x',...'x^2+y^2=10^2',...'(x-a)^2+(y-b)^2=8^2',...'x/y=(a-x)/(b-y)')------------------------------------------------------***** da errorsyms x y a b[xc,yc]=solve('y=-tand(31)*x',...'x^2+y^2=10^2',...'(x-a)^2+(y-b)^2=8^2',...'1/(tand(31))=-(a-x)/(b-y)')------------------------------------------------------*************************no da error!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!syms x y a b[xc,yc,a,b]=solve('y=-tand(31)*x',...'x^2+y^2=10^2',...'(x-a)^2+(y-b)^2=8^2',...'1/(tand(31))=-(a-x)/(b-y)')xc = -((((100*tand(31)^2)/(tand(31)^2 + 1) + (100*tand(31)^4)/(tand(31)^2 + 1) - 36*tand(31)^2)/(tand(31)^2 + 1))^(1/2) + 10*tand(31)*(1/(tand(31)^2 + 1))^(1/2))/tand(31) -((((100*tand(31)^2)/(tand(31)^2 + 1) + (100*tand(31)^4)/(tand(31)^2 + 1) - 36*tand(31)^2)/(tand(31)^2 + 1))^(1/2) - 10*tand(31)*(1/(tand(31)^2 + 1))^(1/2))/tand(31) ((((100*tand(31)^2)/(tand(31)^2 + 1) + (100*tand(31)^4)/(tand(31)^2 + 1) - 36*tand(31)^2)/(tand(31)^2 + 1))^(1/2) - 10*tand(31)*(1/(tand(31)^2 + 1))^(1/2))/tand(31) ((((100*tand(31)^2)/(tand(31)^2 + 1) + (100*tand(31)^4)/(tand(31)^2 + 1) - 36*tand(31)^2)/(tand(31)^2 + 1))^(1/2) + 10*tand(31)*(1/(tand(31)^2 + 1))^(1/2))/tand(31) yc = (((100*tand(31)^2)/(tand(31)^2 + 1) + (100*tand(31)^4)/(tand(31)^2 + 1) - 36*tand(31)^2)/(tand(31)^2 + 1))^(1/2) + 10*tand(31)*(1/(tand(31)^2 + 1))^(1/2) (((100*tand(31)^2)/(tand(31)^2 + 1) + (100*tand(31)^4)/(tand(31)^2 + 1) - 36*tand(31)^2)/(tand(31)^2 + 1))^(1/2) - 10*tand(31)*(1/(tand(31)^2 + 1))^(1/2) 10*tand(31)*(1/(tand(31)^2 + 1))^(1/2) - (((100*tand(31)^2)/(tand(31)^2 + 1) + (100*tand(31)^4)/(tand(31)^2 + 1) - 36*tand(31)^2)/(tand(31)^2 + 1))^(1/2) - (((100*tand(31)^2)/(tand(31)^2 + 1) + (100*tand(31)^4)/(tand(31)^2 + 1) - 36*tand(31)^2)/(tand(31)^2 + 1))^(1/2) - 10*tand(31)*(1/(tand(31)^2 + 1))^(1/2) a = -10*(1/(tand(31)^2 + 1))^(1/2) % ans= -8.5717 10*(1/(tand(31)^2 + 1))^(1/2) % ans= 8.5717 -10*(1/(tand(31)^2 + 1))^(1/2) 10*(1/(tand(31)^2 + 1))^(1/2) b = 10*tand(31)*(1/(tand(31)^2 + 1))^(1/2) % ans= 5.1504 -10*tand(31)*(1/(tand(31)^2 + 1))^(1/2) % ans= -5.1504 10*tand(31)*(1/(tand(31)^2 + 1))^(1/2) -10*tand(31)*(1/(tand(31)^2 + 1))^(1/2)-------------------------------------------------------------------------------------------->> syms x y a b[xc,yc,a,b]=solve('y=-tand(31)*x',...'x^2+y^2=10^2',...'(x-a)^2+(y-b)^2=8^2',...'x/y=(a-x)/(b-y)') xc = -(1.0*(10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) + (((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2)))/tand(31) (10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) + (((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2))/tand(31) (1.0*(10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) - 1.0*(((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2)))/tand(31) -(1.0*(10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) - 1.0*(((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2)))/tand(31) yc = 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) + (((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2) - 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) - 1.0*(((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2) (((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2) - 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) - 1.0*(((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2) a = -10.0*(1/(tand(31)^2 + 1.0))^(1/2) 10.0*(1/(tand(31)^2 + 1.0))^(1/2) 10.0*(1/(tand(31)^2 + 1.0))^(1/2) -10.0*(1/(tand(31)^2 + 1.0))^(1/2) b = 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) -10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) -10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2)----------------------------------------------------------------------------------------------------------*************************no da error!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! esta es la buena..........syms x y a b % (x,y)tangent point & (a,b) certer point circle 2[a,b,x,y]=solve('y=-tand(31)*x',... % eq. for line 59'x^2+y^2=10^2',... % eq. for circle 1 r=10 at (0,0)'(x-a)^2+(y-b)^2=8^2',... % eq. for circle 2 r=08 at (a,b)'x/y=(a-x)/(b-y)') % (slope iguallity) for tangent point for both circlesa = -(1.0*(10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) + (((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2)))/tand(31) (10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) + (((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2))/tand(31) (1.0*(10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) - 1.0*(((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2)))/tand(31) -(1.0*(10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) - 1.0*(((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2)))/tand(31) b = 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) + (((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2) - 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) - 1.0*(((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2) (((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2) - 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) - 1.0*(((100.0*tand(31)^2)/(tand(31)^2 + 1.0) + (100.0*tand(31)^4)/(tand(31)^2 + 1.0) - 36.0*tand(31)^2)/(tand(31)^2 + 1.0))^(1/2) x = -10.0*(1/(tand(31)^2 + 1.0))^(1/2) 10.0*(1/(tand(31)^2 + 1.0))^(1/2) 10.0*(1/(tand(31)^2 + 1.0))^(1/2) -10.0*(1/(tand(31)^2 + 1.0))^(1/2) y = 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) -10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) -10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2) 10.0*tand(31)*(1/(tand(31)^2 + 1.0))^(1/2)--------------------------------------------------------------------------------------------------------------% CON ESTO MATLAB ME PARAMETRIZA TO EN FUNCION DE "Y1=Z"syms x1 y1 a b c d % (x1,y1) tangent point(1), (a,b) certer point circle r=45 & (c,d) certer point circle r=80.6[a,b,c,d,x1,y1]=solve('x1=0',... % eq. for vertical line "x1=0" 90'(x1-a)^2+(y1-b)^2=45^2',... % eq. for circle 1 r=45.0 at (a,b)'(x1-c)^2+(y1-d)^2=80.6^2',... % eq. for circle 2 r=80.6 at (c,d)'a=0',... % center circle 1 r=45.0 is into line "x=0"'c=0',... % center circle 2 r=80.6 belong to line "x=0"'(a-x1)/(b-y1)=(c-x1)/(d-y1)') % (slope iquallity) for tangent point for both circles 1 & 2. Have to be "y=y1"Warning: The solutions are parametrized by the symbols:z = C_ > In solve at 180 a = 0 0 0 0 b = z + 45.0 z - 45.0 z + 45.0 z - 45.0 c = 0 0 0 0 d = z + 80.6 z + 80.6 z - 80.6 z - 80.6 x1 = 0 0 0 0 y1 = z z z z --------------------------------------------------------------------------------------------------------------% CON ESTO MATLAB ME PARAMETRIZA TODO EN FUNCION DE "Y1=Z"% suppose global center point (0,0) for the piecesyms x1 y1 % (x1,y1) tangent point(1) between circles 1&2syms a b % (a,b) certer point circle (1) r=45.0 syms c d % (c,d) certer point circle (2) r=80.6syms x2 y2 % (x2,y2) tangent point(2) between circles 2&3syms e f % (e,f) certer point circle (3) r=47.3[a,b,c,d,x1,y1,x2,y2]=solve('x1=0',... % eq. for vertical line "x1=0" 90'(x1-a)^2+(y1-b)^2=45.0^2',... % eq. for circle 1 r=45.0 at (a,b) at tand point (x1,y1)'(x1-c)^2+(y1-d)^2=80.6^2',... % eq. for circle 2 r=80.6 at (c,d) at tand point (x1,y1)'a=0',... % center circle 1 r=45.0 is into line "x=0"'c=0',... % center circle 2 r=80.6 belong to line "x=0"'(a-x1)/(b-y1)=(c-x1)/(d-y1)',... % (slopes equallity) for tangent point for both circles 1&2. Have to be "y=y1"'(x2-c)^2+(y2-d)^2=80.6^2',... % eq. for circle 2 r=80.6 at (c,d) at tand point (x2,y2)'(x2-e)^2+(y2-f)^2=47.3^2',... % eq. for circle 3 r=47.3 at (e,f) at tand point (x2,y2)'y2=-tand(31)*x2',... % tangent point (x2,y2) belong to line type in parametrics "y2=-tand(31)*x2"'(c-x2)/(d-y2)=(e-x2)/(f-y2)') % (slopes equallity) for tangent point for both circles 2&3--------------------------------------------------------------------------------------------------------------% CON ESTO MATLAB ME PARAMETRIZA TODO EN FUNCION DE "Y1=z = C_ minus {-(403*tand(31))/5, (403*tand(31))/5}"% 32 solutions parametrized by "z"% suppose global center point (0,0) for the piece% this eq. '(a-x1)/(b-y1)=(c-x1)/(d-y1)',... it`s not necessary because a=c=x1=0syms x1 y1 % (x1,y1) tangent point(1) between circles 1&2syms a b % (a,b) certer point circle (1) r=45.0 syms c d % (c,d) certer point circle (2) r=80.6syms x2 y2 % (x2,y2) tangent point(2) between circles 2&3syms e f % (e,f) certer point circle (3) r=47.3[a,b,c,d,e,f,x1,y1,x2,y2]=solve('x1=0',... % eq. for vertical line "x1=0" 90'(x1-a)^2+(y1-b)^2=45.0^2',... % eq. for circle 1 r=45.0 at (a,b) at tangent point (x1,y1)'(x1-c)^2+(y1-d)^2=80.6^2',... % eq. for circle 2 r=80.6 at (c,d) at tangent point (x1,y1)'a=0',... % center circle 1 r=45.0 is into line "x=0"'c=0',... % center circle 2 r=80.6 belong to line "x=0"'(a-x1)/(b-y1)=(c-x1)/(d-y1)',... % (slopes equallity) for tangent point for both circles 1&2. Have to be "y=y1"'(x2-c)^2+(y2-d)^2=80.6^2',... % eq. for circle 2 r=80.6 at (c,d) at tangent point (x2,y2)'(x2-e)^2+(y2-f)^2=47.3^2',... % eq. for circle 3 r=47.3 at (e,f) at tangent point (x2,y2)'y2=-tand(31)*x2',... % tangent point (x2,y2) belong to line type in parametrics "y2=-tand(31)*x2"'(c-x2)/(d-y2)=(e-x2)/(f-y2)') % (slopes equallity) for tangent point for both circles 2&3Warning: The solutions are parametrized by the symbols:z = C_ minus {-(403*tand(31))/5, (403*tand(31))/5} > In solve at 180 a = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 b = 45.0 -45.0 -45.0 45.0 45.0 -45.0 -45.0 45.0 -116.2 -206.2 -206.2 206.2 116.2 206.2 116.2 -116.2 (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 - 161.2*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)) + 806.0*z*tand(31)^2 + 0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31))^2 + 10125.0*tand(31)^2 + 5.0*z^2 - 2.0*z*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) -(0.2*(403.0*tand(31) + 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 + 0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31))^2 - 161.2*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)) - 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 + 2.0*z*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))^(1/2) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) -(0.2*(403.0*tand(31) + 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 + 0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31))^2 - 161.2*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)) - 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 + 2.0*z*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))^(1/2) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 - 161.2*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)) + 806.0*z*tand(31)^2 + 0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31))^2 + 10125.0*tand(31)^2 + 5.0*z^2 - 2.0*z*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 - 161.2*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)) + 806.0*z*tand(31)^2 + 0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31))^2 + 10125.0*tand(31)^2 + 5.0*z^2 - 2.0*z*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 - 161.2*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)) + 806.0*z*tand(31)^2 + 0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31))^2 + 10125.0*tand(31)^2 + 5.0*z^2 - 2.0*z*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) (0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31) + 2.2360679774997896964091736687313*(0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31))^2 + 5.0*z^2*tand(31)^2 + 161.2*tand(31)*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)) - 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 - 2.0*z*tand(31)*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))^(1/2)))/tand(31) -(0.2*(403.0*tand(31) - 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 + 0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31))^2 - 161.2*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)) - 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 + 2.0*z*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))^(1/2) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) (0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31) + 2.2360679774997896964091736687313*(0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31))^2 + 5.0*z^2*tand(31)^2 + 161.2*tand(31)*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)) - 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 - 2.0*z*tand(31)*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))^(1/2)))/tand(31) -(0.2*(403.0*tand(31) - 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 + 0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31))^2 - 161.2*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)) - 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 + 2.0*z*tand(31)*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))^(1/2) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) -(0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31) + 2.2360679774997896964091736687313*(0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31))^2 + 5.0*z^2*tand(31)^2 + 161.2*tand(31)*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)) - 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 - 2.0*z*tand(31)*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))^(1/2)))/tand(31) -(0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31) + 2.2360679774997896964091736687313*(0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31))^2 + 5.0*z^2*tand(31)^2 + 161.2*tand(31)*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)) - 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 - 2.0*z*tand(31)*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))^(1/2)))/tand(31) (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31) - 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 - 161.2*tand(31)*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)) + 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 + 0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31))^2 - 2.0*z*tand(31)*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))^(1/2)))/tand(31) (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31) + 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 - 161.2*tand(31)*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)) + 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 + 0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31))^2 - 2.0*z*tand(31)*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))^(1/2)))/tand(31) (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31) - 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 - 161.2*tand(31)*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)) + 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 + 0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31))^2 - 2.0*z*tand(31)*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))^(1/2)))/tand(31) (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31) + 2.2360679774997896964091736687313*(5.0*z^2*tand(31)^2 - 161.2*tand(31)*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)) + 806.0*z*tand(31)^2 + 10125.0*tand(31)^2 + 5.0*z^2 + 0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31))^2 - 2.0*z*tand(31)*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))^(1/2)))/tand(31) c = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 d = -80.6 -80.6 80.6 80.6 80.6 80.6 -80.6 -80.6 -80.6 -80.6 -80.6 80.6 80.6 80.6 80.6 -80.6 (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 80.6 80.6 - (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) 80.6 - (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 80.6 (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 80.6 (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 80.6 (0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) + 80.6 80.6 - (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) (0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) + 80.6 80.6 - (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) (0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) + 80.6 (0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) + 80.6 (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 80.6 (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 80.6 (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 80.6 (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 80.6 e = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -(0.41315136476426799007444168734491*z)/tand(31) -(0.41315136476426799007444168734491*z)/tand(31) -(1.5868486352357320099255583126551*z)/tand(31) -(1.5868486352357320099255583126551*z)/tand(31) -(0.41315136476426799007444168734491*z)/tand(31) -(1.5868486352357320099255583126551*z)/tand(31) -(0.41315136476426799007444168734491*z)/tand(31) -(1.5868486352357320099255583126551*z)/tand(31) -(1.5868486352357320099255583126551*z)/tand(31) -(0.41315136476426799007444168734491*z)/tand(31) -(1.5868486352357320099255583126551*z)/tand(31) -(0.41315136476426799007444168734491*z)/tand(31) -(0.41315136476426799007444168734491*z)/tand(31) -(1.5868486352357320099255583126551*z)/tand(31) -(1.5868486352357320099255583126551*z)/tand(31) -(0.41315136476426799007444168734491*z)/tand(31) f = 47.3 47.3 47.3 47.3 -47.3 -47.3 -47.3 -47.3 47.3 47.3 -47.3 -47.3 -47.3 47.3 47.3 -47.3 0.41315136476426799007444168734491*z + (0.11736972704714640198511166253102*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 47.3 0.41315136476426799007444168734491*z - (0.11736972704714640198511166253102*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) + 47.3 1.5868486352357320099255583126551*z + (0.11736972704714640198511166253102*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) - 47.3 1.5868486352357320099255583126551*z - (0.11736972704714640198511166253102*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) + 47.3 0.41315136476426799007444168734491*z + (0.11736972704714640198511166253102*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 47.3 1.5868486352357320099255583126551*z - (0.11736972704714640198511166253102*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) + 47.3 0.41315136476426799007444168734491*z + (0.11736972704714640198511166253102*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) + 47.3 1.5868486352357320099255583126551*z + (0.11736972704714640198511166253102*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) - 47.3 1.5868486352357320099255583126551*z - (0.11736972704714640198511166253102*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) - 47.3 0.41315136476426799007444168734491*z - (0.11736972704714640198511166253102*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) + 47.3 1.5868486352357320099255583126551*z - (0.11736972704714640198511166253102*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) - 47.3 0.41315136476426799007444168734491*z + (0.11736972704714640198511166253102*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) + 47.3 0.41315136476426799007444168734491*z + (0.11736972704714640198511166253102*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 47.3 1.5868486352357320099255583126551*z - (0.11736972704714640198511166253102*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) + 47.3 1.5868486352357320099255583126551*z - (0.11736972704714640198511166253102*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) + 47.3 0.41315136476426799007444168734491*z + (0.11736972704714640198511166253102*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) - 47.3 x1 = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 y1 = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) -(1.0*z)/tand(31) x2 = 0 0 0 0 0 0 0 0 -161.2 -161.2 -161.2 161.2 161.2 161.2 161.2 -161.2 (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) -(0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) -(0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) (0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) -(0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) (0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) -(0.2*(403.0*tand(31) + (-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 5.0*z*tand(31)))/tand(31) (0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) (0.2*((-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) - 403.0*tand(31) + 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) (0.2*(403.0*tand(31) - 1.0*(-1.0*(5.0*z + 403.0*tand(31))*(5.0*z - 403.0*tand(31)))^(1/2) + 5.0*z*tand(31)))/tand(31) y2 = 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 z z z z z z z z z z z z z z z z ----------------------------------------------------------------------------------------------------------------------------% CON ESTO MATLAB ME PARAMETRIZA TODO EN FUNCION DE "Y1=z = C_ minus {-(403*tand(31))/5, (403*tand(31))/5}"% 32 soluciones% suppose global center point (0,0) for the piecesyms x1 y1 % (x1,y1) tangent point(1) between circles 1&2syms a b % (a,b) certer point circle (1) r=45.0 syms c d % (c,d) certer point circle (2) r=80.6syms x2 y2 % (x2,y2) tangent point(2) between circles 2&3syms e f % (e,f) certer point circle (3) r=47.3[a,b,c,d,e,f,x1,y1,x2,y2]=solve('x1=0',... % eq. for vertical line "x1=0" 90'(x1-a)^2+(y1-b)^2=45.0^2',... % eq. for circle 1 r=45.0 at (a,b) at tangent point (x1,y1)'(x1-c)^2+(y1-d)^2=80.6^2',... % eq. for circle 2 r=80.6 at (c,d) at tangent point (x1,y1)'a=0',... % center circle 1 r=45.0 is into line "x=0"'c=0',... % center circle 2 r=80.6 belong to line "x=0"'(a-x1)/(b-y1)=(c-x1)/(d-y1)',... % (slopes equallity) for tangent point for both circles 1&2. Have to be "y=y1"'',... % next tangent point'(x2-c)^2+(y2-d)^2=80.6^2',... % eq. for circle 2 r=80.6 at (c,d) at tangent point (x2,y2)'(x2-e)^2+(y2-f)^2=47.3^2',... % eq. for circle 3 r=47.3 at (e,f) at tangent point (x2,y2)'y2=-tand(31)*x2',... % tangent point (x2,y2) belong to line type in parametrics "y2=-tand(31)*x2"'(c-x2)/(d-y2)=(e-x2)/(f-y2)') % (slopes equallity) for tangent point for both circles 2&3--------------------------------------------------------------------------------------------------------------% incorporo el pto x3 y3 x4 y4