The case of the disappearing angle units, or "the dangle of the angle"
08-14-2019, 04:08 PM
Post: #21
 Albert Chan Senior Member Posts: 1,646 Joined: Jul 2018
RE: The case of the disappearing angle units, or "the dangle of the angle"
Hi, ijabbott

I am reading Trigonometric Delights, by Eli Maor.
Chapter 4, Trigonometry becomes Analytic, page 53:

Quote:Euler and his Introductio to fully incorporate complex numbers into trigonometry: with him the subject becomes truly analytic.

These developments moved trigonometry ever farther from its original connection with a triangle.
The first to define the trigonometric functions as pure numbers, rather than ratios in a triangle ...
Today, of course, we go a step farther and define the independent variable itself as a real number rather than an angle.
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 Messages In This Thread The case of the disappearing angle units, or "the dangle of the angle" - ijabbott - 07-31-2019, 07:34 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - Geoff - 08-01-2019, 01:41 AM RE: The case of the disappearing angle units, or "the dangle of the angle" - ijabbott - 08-02-2019, 07:45 AM RE: The case of the disappearing angle units, or "the dangle of the angle" - Albert Chan - 08-02-2019, 01:31 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - SlideRule - 08-02-2019, 03:28 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - ijabbott - 08-02-2019, 05:06 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - Claudio L. - 08-03-2019, 01:11 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - Albert Chan - 08-03-2019, 08:51 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - Claudio L. - 08-04-2019, 12:02 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - ijabbott - 08-05-2019, 06:49 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - rprosperi - 08-06-2019, 02:24 AM RE: The case of the disappearing angle units, or "the dangle of the angle" - ijabbott - 08-07-2019, 11:45 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - rprosperi - 08-08-2019, 12:09 AM RE: The case of the disappearing angle units, or "the dangle of the angle" - Claudio L. - 08-07-2019, 09:26 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - StephenG1CMZ - 08-06-2019, 08:16 AM RE: The case of the disappearing angle units, or "the dangle of the angle" - Claudio L. - 08-07-2019, 09:38 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - jlind - 08-13-2019, 01:56 AM RE: The case of the disappearing angle units, or "the dangle of the angle" - ijabbott - 08-13-2019, 07:28 AM RE: The case of the disappearing angle units, or "the dangle of the angle" - jlind - 08-14-2019, 04:53 AM RE: The case of the disappearing angle units, or "the dangle of the angle" - ijabbott - 08-14-2019, 03:29 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - Albert Chan - 08-14-2019 04:08 PM RE: The case of the disappearing angle units, or "the dangle of the angle" - SlideRule - 08-16-2019, 01:38 AM RE: The case of the disappearing angle units, or "the dangle of the angle" - ijabbott - 08-16-2019, 12:02 PM

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