Posted by Michael Gilligan on 28/11/2016 13:08:48:
Posted by JA on 28/11/2016 12:56:54:
… What ever is said it is quite valid and not accurate …
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Sorry, JA … I don't quite get your point ^^^
Could you please clarify ?
MichaelG.
MichaelG
I have been sitting for about an hour trying to think of how to reply to this.
My first draft was on how the Greeks would have solved the problem arithmetically. I had to retreat on that one since it appears that I am, or even we as modern man are, wrong to consider equations as algebra. Wikipedia, as Dave says, suggests that the ancients solved equations. I think that is a tall order. OK they could multiply and divide (and used squares, cubes, square roots, cube roots and pi) but they were hindered by their numbering system (I haven't a clue on how to add and subtract using Roman numerals). Romans used fractions, so I guess the Greeks did, but we are taught that the Arabs (not the French) introduced the decimal system. Given all this drawing the problem out as a piece of geometry makes full sense.
Return to your query, the accuracy of the result is limited by the drawing accuracy. If it was drawn full size the accuracy would be no better than a hundredth of an inch while the measurement accuracy would hopefully be to the nearest thou.
Neil – We can make the simplest question very complicated.
JA