File:Archimedean property for Achilles and Tortoise example.svg
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| DescriptionArchimedean property for Achilles and Tortoise example.svg | English: An illustration of theArchimedean property of real numbers. Achilles starts the race at the initial point mathP_0</math>, and the tortoise at mathP_1</math>. They finish the race at the same time. When Achilles reaches mathP_1</math>, the tortoise reaches mathP_2</math>, etc. The Archimedean property is that any pointx in the race lies between two of the P's.The following code was generated using conversion to TiKZ, and manual adjustment so that the generated PDF looks nice. |
| Date | |
| Source | Created with GeoGebra |
| Author | Sławomir Biały |
\documentclass[10pt]{article}\usepackage{pgf,tikz}\usepackage{mathrsfs}\usetikzlibrary{arrows}\pagestyle{empty}\begin{document}\definecolor{yqqqqq}{rgb}{0.5019607843137255,0.,0.}\definecolor{xdxdff}{rgb}{0.49019607843137253,0.49019607843137253,1.}\definecolor{uuuuuu}{rgb}{0.26666666666666666,0.26666666666666666,0.26666666666666666}\begin{tikzpicture}[line cap=round,line join=round,>=triangle 45,x=1.0cm,y=1.0cm,scale=10]\clip(-0.12424528781181865,-0.15367169638774447) rectangle (1.379623024945378,0.2598262459990889);\draw [line width=2.pt] (0.,0.)-- (1.,0.);\draw (0.4762485393486732,0.08) node[anchor=north west]{$P_1$};\draw (-0.024162983285070005,0.08) node[anchor=north west]{$P_0$};\draw (0.7185530660976437,0.08) node[anchor=north west]{$P_2$};\draw (0.8370715846161618,0.08) node[anchor=north west]{$P_3$};\draw (0.9081826957272727,0.08) node[anchor=north west]{$P_4$};\draw (0.9481826957272727,0.07) node[anchor=north west]{$\dots$};\draw (0.884478992023569,-0.01) node[anchor=north west]{$x$};\begin{scriptsize}\draw [fill=uuuuuu] (0.,0.) circle (0.25pt);\draw [fill=uuuuuu] (1.,0.) circle (0.25pt);\draw[color=uuuuuu] (1.1188822842046382,0.016204846822132895) node{Finish line};\draw [fill=xdxdff] (0.9108164405832435,0.) circle (0.2pt);\draw [color=yqqqqq, very thick] (0.,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.5,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.75,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.875,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.9375,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.96875,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.984375,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.9921875,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.99609375,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.998046875,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.9990234375,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.99951171875,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.999755859375,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.9998779296875,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.99993896484375,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\draw [color=yqqqqq, very thick] (0.999969482421875,0.)-- ++(-0.25pt,0 pt) -- ++(0.5pt,0 pt) ++(-0.25pt,-0.25pt) -- ++(0 pt,0.5pt);\end{scriptsize}\end{tikzpicture}\end{document}
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|---|---|---|---|
| 2017-07-25 11:34:45 | 533 × 147 | Sławomir Biały | Uploading a self-made file using [[Wikipedia:File_Upload_Wizard|File Upload Wizard]] |
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| current | 03:38, 15 December 2018 | | 533 × 147(34 KB) | I love rpgs | Transferred from en.wikipedia (MTC!) (1.1.0) |
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| Width | 15.038683127571968cm |
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| Height | 4.134979423868299cm |
