{"version":9,"randomSeed":"3a95a1d97ff7e1d3a766a4810c2b9566","graph":{"viewport":{"xmin":-1.951480839980032,"ymin":-5.501926002142971,"xmax":10.362500350811782,"ymax":8.258661197342878}},"expressions":{"list":[{"type":"folder","id":"38","title":"circle A"},{"type":"expression","id":"30","folderId":"38","color":"#388c46","latex":"A=\\left(3.64,1.6\\right)"},{"type":"expression","id":"32","folderId":"38","color":"#000000","latex":"r_{1}=2.98","slider":{"hardMin":true,"hardMax":true,"min":"0"}},{"type":"expression","id":"34","folderId":"38","color":"#2d70b3","latex":"\\operatorname{distance}\\left(\\left(x,y\\right),A\\right)=r_{1}"},{"type":"expression","id":"40","folderId":"38","color":"#2d70b3","latex":"\\left(x-A.x\\right)^{2}+\\left(y-A.y\\right)^{2}=r_{1}^{2}"},{"type":"expression","id":"42","folderId":"38","color":"#388c46","latex":"x^{2}-\\left(2A.x\\right)x+A.x^{2}+y^{2}-\\left(2A.y\\right)y+A.y^{2}-r_{1}^{2}=0"},{"type":"folder","id":"41","title":"circle B"},{"type":"expression","id":"31","folderId":"41","color":"#6042a6","latex":"B=\\left(7.13,0.76\\right)"},{"type":"expression","id":"33","folderId":"41","color":"#c74440","latex":"r_{2}=2","slider":{"hardMin":true,"hardMax":true,"min":"0"}},{"type":"expression","id":"35","folderId":"41","color":"#388c46","latex":"\\operatorname{distance}\\left(\\left(x,y\\right),B\\right)=r_{2}"},{"type":"expression","id":"43","folderId":"41","color":"#6042a6","latex":"\\left(x-B.x\\right)^{2}+\\left(y-B.y\\right)^{2}=r_{2}^{2}"},{"type":"expression","id":"44","folderId":"41","color":"#000000","latex":"x^{2}-\\left(2B.x\\right)x+B.x^{2}+y^{2}-\\left(2B.y\\right)y+B.y^{2}-r_{2}^{2}=0"},{"type":"expression","id":"74","color":"#c74440","latex":"\\operatorname{distance}\\left(\\left(x,y\\right),A\\right)\\le r_{1}\\left\\{\\operatorname{distance}\\left(\\left(x,y\\right),B\\right)\\le r_{2}\\right\\}"},{"type":"text","id":"77","text":"positive iff circles intersect"},{"type":"expression","id":"75","color":"#2d70b3","latex":"r_{1}+r_{2}-\\operatorname{distance}\\left(A,B\\right)"}]}}