{ "version": 5, "graph": { "viewport": { "xmin": -1.91158261371499, "ymin": -1.8588137264694713, "xmax": 2.4818758775250513, "ymax": 2.53464476477057 } }, "expressions": { "list": [ { "type": "expression", "id": "1", "color": "#c74440", "latex": "N=35", "sliderHardMin": true, "sliderHardMax": true, "sliderMin": "1", "sliderMax": "100", "sliderInterval": "1", "style": "SOLID" }, { "type": "expression", "id": "34", "color": "#000000", "style": "SOLID" }, { "type": "expression", "id": "26", "color": "#2d70b3", "latex": "n=\\left[0,\\frac{1}{N},...,\\frac{N-1}{N}\\right]\\cdot2\\pi", "style": "SOLID" }, { "type": "expression", "id": "30", "color": "#2d70b3", "latex": "\\left(a,b\\right)", "style": "SOLID" }, { "type": "expression", "id": "32", "color": "#388c46", "latex": "a=1.57", "hidden": true, "style": "SOLID" }, { "type": "expression", "id": "33", "color": "#6042a6", "latex": "b=1.18", "hidden": true, "style": "SOLID" }, { "type": "expression", "id": "27", "color": "#2d70b3", "latex": "x^2+y^2=1", "lineStyle": "DASHED", "style": "SOLID" }, { "type": "text", "id": "36", "text": "(x - a)^2 + (y - b)^2 - (x - cos)^2 - (y - sin)^2 // Simplify" }, { "type": "expression", "id": "35", "color": "#c74440", "latex": "a^2+b^2-1-2ax-2by+2x\\cos\\left(n\\right)+2y\\sin\\left(n\\right)=0", "style": "SOLID" }, { "type": "expression", "id": "37", "color": "#c74440", "latex": "\\left(y-\\sin\\left(n\\right)\\right)\\left(b-\\sin\\left(n\\right)\\right)+\\left(x-\\cos\\left(n\\right)\\right)\\left(a-\\cos\\left(n\\right)\\right)=0", "hidden": true, "style": "SOLID" } ] } }