This one is used to find radius in just such a manner in traffic
C squared M
___________ + ________
8 * M 2
Where "C" is chord meaning you measure between two points on the curve.
"M" is middle ordinate which is the distance between the middle of the
chord and the end which is the same distance in which your two chord
points meet. With those two variables, you can determine the radius.
Are my messages not getting through? I'd like to know, since there
are other problems [replies with no sign of the original message] and
I need to speak to my ISP aobut that.
The "saggita" is the vertical distance from the chord center to the
arc. There's a reason Latin was used, and it's political as well as a
bit snobbish, and a long story. It's just another word.
I'd rather have the formula and a calculator. Much easier to carry
around, and easy to use with practice.
You should be ashamed of yourself. The Smoley family will starve to death
because people use cheap $5 made in China calculators from Wal Mart rather
than look up the figures in the book for $90. It will be a sad day when
there are no more Smoley tables.
When I first was introduced to Smoleys (1957), there were only mechanical
calculators, Monroe and Marchant comes to mind. They cost hundreds of
dollars and of course the big advantage they had was extracting square
A slide rule or Smoleys was the state of the art in trig calculations.
Initially, I had no use for the segmental tables, but that soon changed. I
never heard of a sagitta until yesterday. I suppose an old dog can learn new
Being comfortable with trig, finding a radius is no problem with a $5
I do know a fabrication shop that still uses Smoleys, just like I know
woodworkers that use hand tools.
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