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sliderule · The International Slide Rule Group

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  • Members: 1450
  • Category: Mathematics
  • Founded: Dec 21, 1998
  • Language: English
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Getting use out of DI and CI scales   Message List  
Reply Message #21772 of 42912 |
Re: SR Getting use out of DI and CI scales

Gary and everyone,

And don't forget what is probably the main reason a DI scale was
put on a trig rule - solving vector resolution or right triangle
problems. (Assuming a rule with DI on the stock, and trig
scales on the slide.)

E.g., imagine the famous 3-4-5 right triangle, and pretend we know
only the length 3 and 4 sides.

- Put the right index over 3 on DI
- Slide cursor over 4 on DI
- Read 36.9 degrees on T

- Now, move cursor to 36.9 degrees on S
- Read 5 on DI

So given any 2 measures of sides or angles (other than the 90 degree
one) of a right triangle, the DI and trig scales let you solve the
rest with a single setting.

Mike Markowski




Mon Oct 27, 2003 4:16 pm

mike_markowski
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Message #21772 of 42912 |
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To find the secant of an angle , of course we set the cursor for cosine and read the secant on CI or DI . But you can work with that reading directly if you...
CalcuNation Offline Send Email Oct 25, 2003
3:11 am

Gary and everyone, And don't forget what is probably the main reason a DI scale was put on a trig rule - solving vector resolution or right triangle problems....
Mike Markowski
mike_markowski Offline Send Email
Oct 27, 2003
4:20 pm

Mike , Yes , that has always been a great use of the DI and shows one of the values of trig on the slide. Thanks for reminding us. This method is so nice , as...
gflom
CalcuNation Offline Send Email
Oct 27, 2003
7:19 pm

Is there a single step workaround for a rule like the Versalog that does not have the DI scale? For Gary's triangle problem, I was able to perform the secant...
Joe Bento
jwbento Offline Send Email
Oct 27, 2003
7:36 pm

... able ... You still can have asympthotic one step solution. Take the slide out and put it back upsside down (reversed) then apply steps of the algorithm...
Andrew Nikitin
andrewnikitin Offline Send Email
Oct 28, 2003
1:07 am

Cyril I am pleased you mentioned that . I bet many of the newer members were not aware of that very useful scale relationship . Gary Flom ... From: Cyril Catt...
gflom
CalcuNation Offline Send Email
Oct 27, 2003
10:51 pm

Joe In this particular problem , we have the perpendicular legs given , think as 4 on the bottom , and 3 going up for those two sides . We want to find the...
gflom
CalcuNation Offline Send Email
Oct 27, 2003
11:47 pm

Hello All, Here's a recipe for going from components to vector and from vector to components. Components to Vector (version 1): 1. Set the index of C to the...
Kurt Tate
ktate49 Offline Send Email
Oct 29, 2003
8:47 pm

Cyril , And , of course , never going off scale doesn't hurt either :) Gary Flom ... From: Cyril Catt To: sliderule@yahoogroups.com Sent: Monday, October 27,...
gflom
CalcuNation Offline Send Email
Oct 28, 2003
12:18 am

Gary, Mike, Joe and all, Thanks for pointing out another use for the Concise 300, which effectively has KI, AI and DI scales on the stock, and trig scales on ...
Cyril Catt
newcastleewc... Offline Send Email
Oct 27, 2003
9:49 pm

Gary, I realized some time ago the inverse relationships of Concise 300 scales on opposite sides of the rule, but couldn't think of a use for them. Now I have...
Cyril Catt
newcastleewc... Offline Send Email
Oct 27, 2003
11:42 pm
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