document.write( "Question 1059721: I have to write a two column proof. Here is a picture of the problem: https://docs.google.com/document/d/1a_S-POcquYF2qVL81mza1vSwA0iz77GdG5NcdxVvVmY/edit?usp=sharing \n" ); document.write( "
Algebra.Com's Answer #675088 by ikleyn(52944)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Ooo, how happy I was !\r
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\n" ); document.write( "\n" ); document.write( "    In my youth years !\r
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\n" ); document.write( "\n" ); document.write( "        When I studied Geometry !\r
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\n" ); document.write( "\n" ); document.write( "            Written in lines !!\r
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\n" ); document.write( "\n" ); document.write( "                and NOT in two columns !!!\r
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\n" ); document.write( "\n" ); document.write( "Writing geometry proofs in two columns is invention of typography managers.
\n" ); document.write( "It has no any relation to Science.\r
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\n" ); document.write( "\n" ); document.write( "    Euclid wrote everything in lines.\r
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\n" ); document.write( "\n" ); document.write( "    More than 2000 years after Euclid the people wrote Geometry in lines.\r
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\n" ); document.write( "\n" ); document.write( "    You will not find math proofs in math journals written in two colums.\r
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\n" ); document.write( "\n" ); document.write( "Writing in two columns is the same as cutting the pages in the Geometry book with beautiful proofs by scissors along each page from the bottom to the top.\r
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\n" ); document.write( "\n" ); document.write( "Is the same as cutting every thought in two pieces and placing peaces in two columns.\r
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\n" ); document.write( "\n" ); document.write( "Is the same as jumping over a profundity in two jumps.\r
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\n" ); document.write( "\n" ); document.write( "Absolutely nonsense activity.\r
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\n" ); document.write( "\n" ); document.write( "    And even worst.\r
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\n" ); document.write( "\n" ); document.write( "        Much worst.\r
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\n" ); document.write( "\n" ); document.write( "The outcome of teaching geometry this way is/are the people/students who do not understand Geometry and Math and hate it.\r
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\n" ); document.write( "\n" ); document.write( "And, in addition, can not formulate correctly any logically connected thought/point of view/conception.\r
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\n" ); document.write( "\n" ); document.write( "                Sorry. My personal opinion.\r
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\n" ); document.write( "\n" ); document.write( "Ooo, how happy I was ! (See again from the beginning . . . )\r
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\n" ); document.write( "\n" ); document.write( "And by the way, see the normal/regular Geometry proof written in lines in the lesson\r
\n" ); document.write( "\n" ); document.write( "    - An altitude, a median and an angle bisector in the isosceles triangle\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook on Geometry\r
\n" ); document.write( "\n" ); document.write( "    GEOMETRY - YOUR ONLINE TEXTBOOK \r
\n" ); document.write( "\n" ); document.write( "in this site.   It contains EVERYTHING you need to know, and everything is written in lines.\r
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\n" ); document.write( "\n" ); document.write( "The referred lesson is the part of this online textbook under the topic \"Triangle properties\".\r
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