document.write( "Question 1174279: Find the coordinates of P such that P is a point on AB, A(0,6), B(6,0), AP:AB=2:1 \r
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Algebra.Com's Answer #799721 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Ikleyn is not aware of the inconsistencies in geometry notation. Copied and pasted from:\r\n" );
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document.write( "https://www.mathstips.com/point-ray-line-and-line-segment/\r\n" );
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document.write( "A line is named by any two points on it and written as line AB or line PQ.\r\n" );
document.write( "One and only one line can be drawn passing through two given points A and B.\r\n" );
document.write( "This line is called AB. It may also be called BA.  Line BA is the same as line\r\n" );
document.write( "AB. Both pass through the same two points A and B.\r\n" );
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document.write( "In other places, the notation is different.  Often line segments are called \"lines\".\r\n" );
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document.write( "In my many years of teaching mathematics, I have discovered that notation in\r\n" );
document.write( "mathematics is very often inconsistent.  Also some books use \"equal\" for lines\r\n" );
document.write( "and angles, and \"congruent\" only for closed figures, whereas others use\r\n" );
document.write( "\"congruent\" for them all.  Nothing is written in stone.\r\n" );
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document.write( "As another example of inconsistency, does (1,2) represent a point or an open\r\n" );
document.write( "interval?  We can only go by context.  \r\n" );
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document.write( "Edwin
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