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by lpetrich
Replies
34
Views
629

### The calculus-based formulas also use...

The calculus-based formulas also use trigonometric functions, though often indirectly.

Let's take a closer look at them. Here is a geometric definition of them:

Consider triangle ABC in a...

by lpetrich
Replies
34
Views
629

### Mathematica source code: (* Cosine...

Mathematica source code:

(* Cosine half-series *)
cshfser[ni_,nf_:N] := Rest[NestList[Sqrt[(nf[1]+#)/2]&,0,ni]]

(* Accumulated product *)
prdaccum[xser_] := Module[{prod=1},...

by lpetrich
Replies
34
Views
629

### Here is another trigonometry-based formula for...

Here is another trigonometry-based formula for pi:

Vieta's Formula for Pi - ProofWiki
Viète's formula

pi = 2 * (2/sqrt(2)) * (2/sqrt(2 + sqrt(2))) * (2/sqrt(2 + sqrt(2 + sqrt(2)))) * ...
...

by lpetrich
Replies
698
Views
31,874

### AOC, 'Squad' members promote 'Defund the Police'...

AOC, 'Squad' members promote 'Defund the Police' but spend thousands on private security | Fox News - "Bush has spent the most on security services so far this year"

As self-styled...
5. ## Thread: George Floyd murderer's trial

by lpetrich
Replies
798
Views
15,160

### Poll: Responding to AOC, Derec, do you really think...

Responding to AOC,

We live in a dangerous world and defense is a necessity.
[/quote]
Derec, do you really think that we Americans live in a war zone? Also, do you really want to promote...

by lpetrich
Replies
34
Views
629

### Mathematica source code: (* Given a number...

Mathematica source code:

(* Given a number and a tangent, fill out the record *)
fillrec[nm_,tg_] := Module[{sn,cs},
cs = 1/Sqrt[1+tg^2];
sn = cs*tg;
{nm,sn,cs,tg}
]

by lpetrich
Replies
34
Views
629

### Archimedes's algorithm as Euclid-style geometry:...

Archimedes's algorithm as Euclid-style geometry:

For circle C and number of polygon sides n, construct two n-gons. An inner one that touches the circle, an inscribed one P. An outer one that also...

by lpetrich
Replies
34
Views
629

### I think that the oldest known algorithm for...

I think that the oldest known algorithm for calculating pi is Archimedes's algorithm.

It uses the inequality
sin(a) < a < tan(a)
where a is in radians, and is between 0 and pi/2.

9. ## Thread: George Floyd murderer's trial

by lpetrich
Replies
798
Views
15,160

### Poll: I like this: Alexandria Ocasio-Cortez on...

I like this:
Alexandria Ocasio-Cortez on Twitter: "That a family had to lose a son, brother and father; that a teenage girl had to film and post a murder, that millions across the country had to...
10. ## Thread: US Republicans and right-wingers vs. capitalism

by lpetrich
Replies
6
Views
113

with picture quote

Austin Brown on Twitter: "@IlhanMN I love this pic of you. I can imagine its the look and laugh you gave when reading Charlie...
11. ## Thread: President Biden's Infrastructure Plans

by lpetrich
Replies
127
Views
2,886

### Some snippets from that GND-reintroduction press...

Some snippets from that GND-reintroduction press conference.

NowThis on Twitter: "Rep. @AOC reintroduces the Green New Deal: ’The climate crisis is a crisis born of injustice and it is a crisis...

by lpetrich
Replies
4,927
Views
357,832

### AOC was one of least effective members of...

AOC was one of least effective members of Congress: study
That's according to
The ‘Do-Something’ Members of 116th Congress: Legislative effectiveness study from Vanderbilt, UVA identifies member...

by lpetrich
Replies
4,927
Views
357,832

### Alexandria Ocasio-Cortez on Twitter: "Ever wonder...

Alexandria Ocasio-Cortez on Twitter: "Ever wonder what a Representative does in a week, anyway?
Here’s what I‘ve been up to since Monday ⬇️" / Twitter
Ryan Sheales on Twitter: "Here’s another 90...

by lpetrich
Replies
4,927
Views
357,832

Then a 7-year-old constituent asked about why she ran for office, how she got into office, and how she copes with people who dislike her. She laughed and said that it is a great question.

She...
15. ## Thread: Identity Of Q Revealed?

by lpetrich
Replies
9
Views
358

### QAnon mentions the hypothesis that there is more...

QAnon mentions the hypothesis that there is more than one "Q".

QAnon's Mysterious Leader 'Q' Is Actually Multiple People
noting
Style analysis by machine learning reveals that two authors likely...
16. ## Thread: President Biden's Infrastructure Plans

by lpetrich
Replies
127
Views
2,886

### AOC’s plan for a 1.5 million-strong Civilian...

AOC’s plan for a 1.5 million-strong Civilian Climate Corps, explained | Grist

"A new bill would bring back FDR's famous New Deal program — with a few big changes."

There are four features that...

by lpetrich
Replies
3,173
Views
150,598

### Judge orders Justice Dept. to release Donald...

Judge orders Justice Dept. to release Donald Trump obstruction of justice memo - ABC7 Los Angeles

Barr memo saying not to charge Trump must be released, judge says - CNNPolitics

Redacted...
18. ## Thread: Now the Coup Starts

by lpetrich
Replies
1,793
Views
74,029

### Michael Cohen on Giuliani's legal fees: He won't...

Michael Cohen on Giuliani's legal fees: He won't get 'two cents' from Trump | TheHill
noting
Michael Cohen On Giuliani: ‘He’s Going To Get Stiffed’ | The ReidOut | MSNBC - YouTube

Giuliani...
19. ## Thread: So what's next for Trump?

by lpetrich
Replies
284
Views
12,433

### The members of these families whose political...

The members of these families whose political careers have survived have all had to become Trumpies, even if it means breaking with the rest of their families.
20. ## Thread: So what's next for Trump?

by lpetrich
Replies
284
Views
12,433

### He also targets a Republican that many of his...

He also targets a Republican that many of his fellow Republicans consider a great hero, and someone that they follow.

Trump: People would say I'm 'far greater than Ronald Reagan' if my name...
21. ## Thread: So what's next for Trump?

by lpetrich
Replies
284
Views
12,433

### How Trump is hunting down the GOP’s leading...

How Trump is hunting down the GOP’s leading families - POLITICO

Trump was born on 1946 Jun 14, and that means that he was in his early 20's in the late 1960's. His adult years thus overlap with...
22. ## Thread: Just Hypotherically - What Happens if Trump Croaks tomorrow?

by lpetrich
Replies
33
Views
464

### If he has any sense of humor, he might respond...

If he has any sense of humor, he might respond "Ribbit ... ribbit ... ribbit ... I croaked."

More seriously, there would likely be a big fight over Trump's legacy, with some Republicans claiming...
23. ## Thread: Trump supporters vs. Rep. Liz Cheney

by lpetrich
Replies
17
Views
347

### Trump spokesman says defeating Cheney a top...

Trump spokesman says defeating Cheney a top priority | TheHill

Liz Cheney plans lengthy fight over Trump's dominance of Republicans. - The Washington Post

Like refusing to accept some very...
24. ## Thread: The trials of the Capitol assaulters

by lpetrich
Replies
95
Views
4,271

### "Fox News made me do it" Lawyer for accused...

"Fox News made me do it"

Lawyer for accused Capitol rioter says client had 'Foxitis,' 'Foxmania' | TheHill

Right-wingers like to talk about taking responsibility for their actions. But when...
25. ## Thread: Democrats trying to unseat each other II

by lpetrich
Replies
70
Views
2,505

### Amy Vilela on Twitter: "We're officially...

Amy Vilela on Twitter: "We're officially launching our first campaign video! ..." / Twitter

Amy Vilela - Ballotpedia lists her as running in NV-01. She ran in NV-04 back in 2018. Her campaign...
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