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    Re: napier and logarithms
    From: Paul Hirose
    Date: 2009 May 29, 21:12 -0700

    corallina wrote:
    > I worked the sqrt of 100000 in about 2 hours.
    
    How did you do it? As a schoolboy I was taught a method similar to long
    division, but all I can remember now is that it began by grouping the
    digits in pairs.
    
    
    > Also this leads to the question as to whether Napier or Briggs were
    > able to find the value of log(2) or log(3) to 7 decimal places or did
    > that have to wait for Euler.
    
    Briggs published 14-place logs of the numbers from 1 to 20000 and 90000
    to 100000 in 1624. Adrian Vlacq filled the gap in 1628 with a 10-place
    table.
    
    
    > After receiving my slide rule in the mail and trying a few
    > calculations, I have decided that weak eyesight precludes this method.
    
    As a teen I could read a slide rule easily, but now at age 52 it's
    impossible without help, though my distant vision is fine. A pair of
    reading glasses (+2.0 diopter) takes care of that problem. That's a
    little too strong a correction for viewing a computer monitor, but a
    slide rule is used at shorter distance.
    
    Sometimes I use a large, low power, hands free magnifying glass plus
    reading glasses. That extracts all the potential of the slide rule
    without eyestrain.
    
    
    The following 1872 article from the MNRAS mentions the Briggs and Vlacq
    tables. "With the exception of Vega's Thesaurus &c., the only complete
    table of ten figure logarithms that has been published is the original
    one, partially calculated by Briggs and completed by Vlacq... It is not
    a little remarkable that the most accessible table of ten-figure
    logarithms we possess should have been published nearly 250 years ago.
    This places their use out of the power of all who have not access to an
    important library."
    
    http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?journal=MNRAS&year=%3f%3f%3f%3f&volume=..32&letter=.&db_key=PRE&page_ind=255&plate_select=NO&data_type=GIF&type=SCREEN_GIF&classic=YES
    
    I was surprised to find "Arithmetica Logarithmica" by Briggs (1624) on
    Google books. The original must be quite valuable.
    
    http://books.google.com/books?id=L88WAAAAQAAJ&dq=intitle:logarithmica+inauthor:briggs&lr=&as_drrb_is=q&as_minm_is=0&as_miny_is=&as_maxm_is=0&as_maxy_is=&as_brr=1&as_pt=ALLTYPES
    
    The seminal work by Napier is also on Google, in an 1889 English
    translation:
    
    http://books.google.com/books?id=Zlu4AAAAIAAJ&dq=intitle:logarithms&lr=&as_drrb_is=q&as_minm_is=0&as_miny_is=&as_maxm_is=0&as_maxy_is=&as_brr=1&as_pt=ALLTYPES
    
    
    There are a lot of logarithm and log trig tables on Google. Anyone who
    wants to reduce a sight the old fashioned way will have plenty of
    choices, though reading these tables over the web may be clumsy without
    a high speed connection.
    
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