Hi fam, have a fulfilling day of Hermes/Mercurius (Mercredi) or Wotan/Odin (Wednesday/NL:Woensdag), chemical element Hg, mercury! How to Pythagoras 2.0: 1st Shalan theorem a² bluesquare+2ad 2whiterectangles+d² blacksquare=(a+d)² enlargedsquare For detailed derivation with many examples see ALT, pls.
I understand none of this, but I followed you anyway. 😅
Ty! Rectangles are 2-dimensional cuboids, a square is a special rectangle. The 2 sides a & b of a rectangle relate to its diagonal as follows: a²+b²=c² c=a+d a=d(m²-1)/2 b=dm c=d(m²+1)/2 d=2,m=6 35²+12²=(35+2)² d=4,m=3 16²+12²=(16+4)² d=6,m=2 9²+12²=15² d=8,m=3/2 5²+12²=13² I hope this is useful.
how could i not follow you i might learn something
Thank you! IMO we both can learn something. I love this place, where decent people support each other. It is so not X, the anti-social medium formerly known as Twitter. Have a fulfilling day : )
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Yeeees!Thanks for the likes☺️LOVE YOU💕I'm chiitan✨Please follow Chiitan's Instagram
Thank you very much for reposting “for the Follow”! It makes my day!
‘ Pythagoras with the looking glass reflecting the full moon’
Tell me, what does this formula allow us to calculate?
Any (!) pythagorean triple a natural number belongs to. Thank you for asking! Every natural number >2 belongs to at least one Pythagorean triple a, b, c with a²+b²=c². See #ALText for some examples. The 1st Shalan theorem is lazybones's darling because it's shockingly simple, isn't it?
I was also once interested in Mathematics, but all these problems seem absurd to me, having no practical application. Knowing that there is a solution to this equation a²+b²=c² does not give us anything in principle.
Well, vector calculus is essentially based on the Pythagorean theorem. The magnitude of a vector is determined this way. This is important wherever one deals with directional phenomena. The Pythagorean theorem is far more than just a theoretical gimmick!
In general, a square is an area, there is just an exact coincidence in the numbers - a square with a side of 3 m + a square with a side of 4 m = a square with a side of 5 m.
There is an exact agreement in the numbers if and only if the squares are arranged in such a way that one of their sides form the two sides a and b and the diagonal c of a rectangle, in other words, three sides of three squares form a right-angled triangle.
For comparison, these are conventional methods for generating Pythagorean triples: en.wikipedia.org/wiki/Pythago.... None of them is as beguilingly simple as the first Shalan theorem (d(m²-1)/2)²+d²m²=(d(m²+1)/2)².
Hi, this is interesting. Even more so when I'm blind. I'm seeing an alt proof of Pythagoras, photography, Chemistry & American gilead references. I'm following. What's this about? I warned about Apostles for years. #NAR
I forgot to thank you for following me! I'm really grateful! Have a fulfilling day : )
You too.
Well, let's start with Pythagoras and the Yang Hui or Pascal Triangle Start=1=point/empty set es with 0 elements el Next row=1,1=edge+its enlargement/set with 1 el: 1 subset ss with 0 el+1full set fs Next row: 1,2,1 a square+2 equal rectangles+a new square/set with 2el=3 ss:1es+2ss with 1el+1fs 1/4
I'm sorry for the type! A set with two elements has four subsets, the empty set, two subsets wit one element, and the full set.
Oh. 0, 01, 10, 11 ;>
Binomial coefficients: k out of n 1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1
Next row: a cube +its enlargement/set with 3el:1es,3ss with 1 el, 3ss with 2 el, 1fs Next row a 4-dimensional cube+its enlargement/set with 4el: 1es, 4 ss with 1el, 6 ss with 6el, 4 ss with 3 el, 1fs How to Pythagoras 2.0 a²+b12=c²=>a²+2ad+d²=(a+d)² 2ad+d² as b² =d²(2a/d+1) 2a/d+1=m² solve for a 2/4
a=d(m²-1)/2 1st Shalan theorem (d(m²-1)/2)²+d²m²=(d(m²+1)/2)² If m is rational, d must be even. You need a natural number >2 to find the Pythagorean triples a,b,c it belongs to! You have to square m; This formula is lazybones's darling! d=1,m=391 76440²+391²=76441² d=17,m=23 4488²+391²=4505² 3/4
d=23,m=17 3312²+391²=3335² d=18,m=4/3 7²+24²=25² The religiots who made #orangedecibyte #DonOldTrump their president want a theocracy where women are second class citizens and only white wealthy men deserve respect. This is dangerous for everyone! And last but not least, I'm a chemist and teacher. 4
I like very much what you're sharing. I'm glad to have met you.
Thank you and ditto : )
I think TrumpWorld & the Apostles are competing to replace Federalism with Feudalism. ep from starving. They want to own all equity, all property & leave us peons serving them just to keep from starving. That's what we're facing. What's words & posts against that?
I want to believe that the right word is sharper than the sword. And I think that Elon Musk really has a stomach ache because of the gigantic X-it and feels that money can't buy everything. The number of Twitter refugees is growing and growing: We're not going back!
Dipping in to say that the rise of the oligarchy, with its attendant fascism, will force America into a feudal lifestyle. Poor people will be indentured servants, at best. POC will be slaves again. Women will be broodmares. Sick & elderly who can't work will be euthanized. But I'm a pessimist.
My post is not a prediction, it's a warning. Your pessimism is recognition of the danger That these wealthy & powerful people are aggresively trying to turn America into a Feudal State doesn't mean they'll get their wish It's hubris. But fatal to our Federated Nation. Breakdown's coming
I didn't take your post as a prediction. That's the way I see it, too. And people think I'm an alarmist. Idc though.
I followed you and I am very glad to meet you. You're one of the good guys.
I understand. And this sucks. Nobody will ever appreciate it or remember when the disaster hits. It's not enough to alarm. You have to also push a solution. Maybe you can add something to #growAmerica
Kids involved ?
Yes. It works with sixth-graders and older ones.
As an English major, all I can say in response is nice job with the Legos.
Thank you so much!
Bit lost on your pinned post but otherwise we should get on fine ✌
Start with any natural number, e.g. 24. 24=18*4/3 =16*3/2 =12*2 =8*3 =6*4 =4*6 =2*12 2,4,6,8,12,16,18=d, m=the other factor With the 1st Shalan theorem (d(m²-1)/2)²+d²m²=(d(m²+1)/2)² =(a+d)² you get 7²+24²=25² 10²+24²=26² 18²+24²=30² 32²+24²=40² 45²+24²=51² 70²+24²=74² 143²+24²=145²
again 🚑🤯
not funny now i have to go brain hospital
I'm sorry. Get well soon!
Mercury: god with winged feet, messenger between men & gods. Patron of merchants; I guess now it's also of shopping 😉.
And of advertising ; )
Oops, forgot it, mea culpa. U think antiquity Greeks or Egyptians were plagued by it the way we are ?😳 Archeologists get to work !
I taught mathematics for 28 years and used Legos for students k- 10th grade. Kids need more kinesthetic learning tasks in the teaching of mathematics.
My kids went to Montessori preschool and learned math this way and they are both really good at math to this day. My son has ADHD and is very tactile oriented, and it was perfect for him!
There is more of it since polynomials are just building instructions for n-dimensional cuboids. The 1st derivative equals half of the boundaries of such a cuboid. Epsilon go home! How to find the x value of the vertex/middle inflection point easily f(x)=a1x^n+a2x⁽n-1)+...+a(n+1)x⁰ It is -a2/n*a1
www.youtube.com/watch?v=UBYl...
I'm sorry but I cannot view this video because it is not available in Germany. What is it about?
It's a scene from the movie "Pi" (1998). You may be able to find it on the internet. A two minute video of a scene called the Go board. I'd send you the transcript, but characters are limited here.
Thank you so much for this information! I'll do some research. Good night from Germany!
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Um…math scares me. Just sayin. But u do u. 😱
IMO it's a shame that many people don't like the world's most exciting adventure due to uninspired teachers and/or a boring curriculum. Math addicts are never bored and could even endure solitary confinement. Btw., you can also explain linear algebra using the Pythagorean theorem and a cuboid.
Enthusiastically agree with all the above, *except* the claim about mathematicians easily enduring solitary confinement. Mathematicians are still just human, & solitary is specifically designed (over at least hundreds of years) to break humans. Torture is not child’s play.
I'm sorry for a misunderstanding. I certainly didn't want to trivialize torture, but rather just emphasize that many people who love mathematics know absolutely no boredom, even when they're completely alone.
I understand you meant no harm. I hold no hard feelings. But, thank you for promptly clarifying anyway. ❤️ I just worry that ppl really don’t know how deadly solitary actually is. In the US it is practiced every day, even in jails where poor ppl are confined awaiting defense from mere accusations.
Many of us thrive, even at some length, in the intellectual context of voluntary solitude. This is why I wanted to say first that I am enthusiastically supportive of nurturing capacity for such enriching mental playgrounds & every opportunity to joyfully play in them. TY for letting me clarify.🥰
Show me a ‘proof’ and I’ll believe it (no matter what you just said) … that’s how you marry science w religion. 🤣
Religion serves the clergy's self-enrichment (Numbers 28) and self-aggrandizement (Leviticus 21:8). For this to work, science has to obey and must be suppressed . It is therefore just like in a marriage recommended by all leading religions, in which the woman is oppressed by her owner (sic).
That’s fascinating…I never knew any of that stuff. Today’s pi day… mathematicians must be having a field day (literally). 🎉🥳🎊👏🏼🍾🍻
You don't learn this at Sunday school, do you? Or this: 1 Cor 16:1-4 with the invention of the convenient install payment for donations to "the poor saints of Jerusalem". Or this: YHWH, the famous Tetragrammaton, equals Y+HWH with HWH happens to be "Eve", MOTHER of all living (Genesis 3:20). Oops.
![source: https://www.biblegateway.com/passage/?search=1%20Corinthians%2016%3A1-4&version=NCB The screenshot reads: VIII: Final Recommendations and Greetings[a] Chapter 16 The Collection. 1 Now in regard to the collection for the saints,[b] you should follow the instructions I gave to the churches of Galatia. 2 On the first day of every week,[c] each of you should set aside and save whatever you can spare, so that when I come to you, no collections will have to be taken. 3 And when I arrive, I shall send those who have been approved by you with letters of recommendation to deliver your gift to Jerusalem. 4 If it seems advisable that I should also go, they will accompany me. Read full chapter Footnotes 1 Corinthians 16:1 The collection for the Church of Jerusalem—the “saints”—had an important place in Paul’s outlook, because it was a sign of communion between the Churches that originated in the Gentile world and the mother Church that had grown up at the heart of Judaism (see Acts 24:17; Rom 15:25-26; 2 Cor 8–9; Gal 2:10). 1 Corinthians 16:1 The saints in Jerusalem were obviously in dire need—possibly as a result of the famine recorded in Acts 11:28 (about A.D. 44 or 46) or the persecution to which they were subjected (Acts 8:1). 1 Corinthians 16:2 On the first day of every week: i.e., Sunday, the Lord’s Day (see Acts 20:7; Rev 1:10). Each of you should set aside: each Sunday Christians were to bring what they had set aside for the Lord’s work. It was then probably collected at the worship service. Justin Martyr indicates in his Apology (1:67-68) that during his day (c. A.D. 150) offerings were brought to the altar on Sundays.](https://cdn.bsky.app/img/feed_thumbnail/plain/did:plc:omyr27fmzj3phbagch4sqyub/bafkreihme5qr6kjd36zsgubn46yftptimheqozku33h7hze4sidth4vdq4@jpeg)
If you'd like to brag: The fraction 103993/33102 is slightly larger than 3.141592653. ; ) Source: "Algorithmen für regelmäßige Kettenbrüche" (Algorithms for Regular Continued Fractions) Bachelor's thesis by Stefan Scheel Supervisor: Prof. Dr. W. Koepf University of Kassel October 2005, page 28
Methinks, mathematics is humanity's ultimate universal language.
Absolutely. I would say it is the ultimate universal language, regardless of species.
I love every single thing about this post, what a great follower surprise!! The universe does like to speak through numbers, doesn't it...
Thank you so much! I'm sorry that I didn't see your reply earlier. And indeed, the universe does speak through numbers, e.g. phi, the Golden Ratio 1.6180... that is omnipresent in nature.
Absolutely! From the number of electrons swirling around an atom to the number of planets swirling around a sun, numbers are life... and, most critically, can be demonstrated with LEGOs 🤓
I love a good Lego demonstration. 😉
"Numbers are life"; This is so true! Thank you for your reply : )
Hi I’ve changed my bluesky handle to my name jamiannass.bsky.social now that America and the election failed. I’ll be using it a lot more now that Zuck has “unable to post” me on Threads from calling MAGA stupid! Please follow me at my new bluesky name. Thanks.
You shouldn't be surprised. Facts are not vegan; It's not cool to poison debates with them.
As a former Lego sculptor (solid color / pure plasticity) I've got to say this is brilliant work.
Thank you so much!