On Sat, 17 Jun 2017 11:36:49 -0400, Steve Smith wrote:

>Clocks traditionally have IIII instead of IV.  As far as I can tell, no one
>really knows why.  Nine is always IX.
>
I've heard it called esthetic.
_______________
VIII   A   IIII    is a better visal balance than
_______________
VIII   A     IV    and

_______________
IX     A    III    is a better visal balance than
_______________
VIIII  A    III

From: https://en.wikipedia.org/wiki/Subtractive_notation
    ...Subtractive notation, as opposed to the subtractive system used
    in the longhand form of numbers, was rarely used in Ancient
    Rome[1] but became popular in the 13th century.[2]

>On Fri, Jun 16, 2017 at 11:16 PM, CM Poncelet wrote:
>
>> FWIW I had an analog wall-clock in the late-50's / early-60's that
>> showed 4 as IIII - not IV. I cannot remember what its 9 was. Using
>> letters as numerals prevented the Romans and Greeks etc. from inventing
>> algebra. <grin> CP

Um...  https://en.wikipedia.org/wiki/Pi#Polygon_approximation_era
    Archimedes computed upper and lower bounds of π by drawing a regular hexagon
    inside and outside a circle, and successively doubling the number of sides 
until he
    reached a 96-sided regular polygon. By calculating the perimeters of these
    polygons, he proved that 223/71 < π < 22/7 (that is 3.1408 < π < 
3.1429).[50].

How!?  Were his calculations preserved?

-- gil

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