On Monday, October 16, 2023 at 10:27:10 PM UTC+3, Dan Christensen wrote:
> On Monday, October 16, 2023 at 1:37:57 PM UTC-4, bassam karzeddin wrote:
> > On Monday, October 16, 2023 at 7:28:31 PM UTC+3, Dan Christensen wrote:
> > > On Monday, October 16, 2023 at 11:56:02 AM UTC-4, bassam karzeddin wrote:
> > > > On Monday, October 16, 2023 at 5:39:26 PM UTC+3, Dan Christensen wrote:
> > > > > On Sunday, October 15, 2023 at 10:05:47 PM UTC-4, bassam karzeddin wrote:
> > > > > [snip]
> > > > > > > > > > For many years by now, you aren't cabable of getting a single triangle with exactly known sides such that at least one of its angles is EXACTLY 40 degrees, nor can any other intelligent beings on 🌎 & skies as well help you in this absolutely impossible task FOR SURE
> > > > > > > > > >
> > > > > > > > >
> > > > > > > > > Consider the right-triangle with hypotenuse of length = csc 40 degrees (approx. 1.5557238268604123200563559546373) and another side of unit length. The angle opposite the latter should be 40 degrees. Using PT to get the length of the adjacent side (approx. 1.1917535925942099587053080718604).
> > > > >
> > > > > > > > >
> > > > > > > > In other words, we have a triangle ABC with |AB| = 1.5557238268604123200563559546373 units, |BC| = 1 unit, and |AC| = 1.1917535925942099587053080718604 unit. Angle BAC = 40 degrees, angle ACB = 90 degrees, angle ABC = 50 degrees.
> > > > > [snip]
> > > > >
> > > > > > > Your alleged right angle Triangle provided above is similar to the following triangle 🔺️ with sides as following:
> > > > > > >
> > > > > > > |AB| = 15557238268604123200563559546373
> > > > > > >
> > > > > > > |AC| = 11917355925942099587053080718684
> > > > > > >
> > > > > > > |BC| = 10^31
> > > > > > >
> > > > > > > RIGHT ✅️?
> > > > > > >
> > > > > > > Where angles would not change in similar triangles, ✅️ Right?
> > > > > > >
> > > > > > > But the sides above aren't Pythagorean triples, Are they? & Why?
> > > > > > >
> > > > > > > Simply because the sides are even integers whereas the hypotenuse is ODD integer, which of course absolutely impossible FOR SURE
> > > > > > >
> > > > > > > Didn't you invoke clearly the greatest theorem of Phythagorus, yes FOR SURE
> > > > > > >
> > > > > > > How is it possible that the sum of a square of two even integers would yield a square of odd integer side? Wonder!
> > > > > > >
> > > > > > > Also calculate the difference of (|AC|^2 - |AB|^2 - |BC|^2 = ?),
> > > > >
> > > > > > Dan C 🧌 , why can't you show the difference above to see by yourself that isn't zero but a huge number that would definitely prevent your dream of getting a right angle triangle you so blindly belive!
> > > > > >
> > > > > [snip]
> > > > >
> > > > > If you multiply each of the above measurements by a large enough number, what was essentially an imperceptible round-off error may, of course, become perceptible in absolute terms. In relative terms, however, it would remain negligible. Do you really not understand this distinction?
> > > > >
> > > > > Again, the result can be calculated to any number of significant digits that may be required in a given application. This is impossible In your goofy little system where it cannot be calculated to even 1 significant digit -- really quite useless, I'm afraid.
> > > > >
> > > > > Time to cut your losses and move on, Troll Boy. You aren't getting any younger.
> > > > What humans generally cannot comprehend is that Round-off errors aren't allowed in mere theoretical mathematics, but may be allowed in carpentary works & alike & purely for non-mathematical purposes
> > > >
> > > [snip]
> > >
> > > It seems you still do not understand the notion of significant digits/figures. Maybe this will help: https://en.wikipedia.org/wiki/Significant_figures
> Still don't get it???
> > >
> > > Mathematical theory tells us that the result here can be calculated to any number of significant digits. That is the key point here. In your goofy little system it cannot be calculated to even 1 significant digit! Really quite useless, I'm afraid. I don't think your "super intelligent artificial beings of the future" will be be very impressed, Troll Boy." (Hee, hee!)
> > What Dan C 🧌 can't comprehend yet is that the greatest discoverd & well-proven theorems as Phythagorus theorem refutes strictly & immediately all kinds of human invented & non-existing numbers in just a few minutes of numerical verifications, How?
> >
> > Example: a triangle with sides (1, 1, Sqrt2), does exist & a Right angle triangle, Right?
> >
> What is Sqrt2? See https://en.wikipedia.org/wiki/Square_root_of_2
> > But a triangle with sides (1, 1, 1.414...), doesn't exist & never a Right angle triangle, Right?
> On the contrary. the square root of two has been calculated to trillions of decimals places. In your goofy little system, you cannot even calculate it to 1 decimal place! Again, I don't think your "super intelligent artificial beings of the future" will be be very impressed. (Hee, hee!)
>
> Here is the first few decimal places:
>
> 1.4142135623730950488016887242096980785696718753769480731766797379907324784621
> 07038850387534327641572735013846230912297024924836055850737212644121497099935831
> 41322266592750559275579995050115278206057147010955997160597027453459686201472851
> 74186408891986095523292304843087143214508397626036279952514079896872533965463318
> 08829640620615258352395054745750287759961729835575220337531857011354374603408498
> 84716038689997069900481503054402779031645424782306849293691862158057846311159666
> 87130130156185689872372352885092648612494977154218334204285686060146824720771435
> 85487415565706967765372022648544701585880162075847492265722600208558446652145839
> 88939443709265918003113882464681570826301005948587040031864803421948972782906410
> 45072636881313739855256117322040245091227700226941127573627280495738108967504018
> 36986836845072579936472906076299694138047565482372899718032680247442062926912485
> 90521810044598421505911202494413417285314781058036033710773091828693147101711116
> 83916581726889419758716582152128229518488472089694633862891562882765952635140542
> 26765323969461751129160240871551013515045538128756005263146801712740265396947024
> 03005174953188629256313851881634780015693691768818523786840522878376293892143006
> 55869568685964595155501644724509836896036887323114389415576651040883914292338113
> 20605243362948531704991577175622854974143899918802176243096520656421182731672625
> 75395947172559346372386322614827426222086711558395999265211762526989175409881593
> 48640083457085181472231814204070426509056532333398436457865796796519267292399875
> 36661721598257886026336361782749599421940377775368142621773879919455139723127406
> 68983299898953867288228563786977496625199665835257761989393228453447356947949629
> 52168891485492538904755828834526096524096542889394538646625744927556381964410316
> 97983306185201937938494005715633372054806854057586799967012137223947582142630658
> 51322174088323829472876173936474678374319600015921888073478576172522118674904249
> 77366929207311096369721608933708661156734585334833295254675851644710757848602463
> 60083444911481858765555428645512331421992631133251797060843655970435285641008791
> 85007603610091594656706768836055717400767569050961367194013249356052401859991050
> 62108163597726431380605467010293569971042425105781749531057255934984451126922780
> 34491350663756874776028316282960553242242695753452902883876844642917328277088831
> 80870253398523381227499908123718925407264753678503048215918018861671089728692292
> 01197599880703818543332536460211082299279293072871780799888099176741774108983060
> 80032631181642798823117154363869661702999934161614878686018045505553986913115186
> 01038637532500455818604480407502411951843056745336836136745973744239885532851793
> 08960373898915173195874134428817842125021916951875593444387396189314549999906107
> 58704909026088351763622474975785885836803745793115733980209998662218694992259591
> 32764236194105921003280261498745665996888740679561673918595728886424734635858868
> 64496822386006983352642799056283165613913942557649062065186021647263033362975075
> 69787060660685649816009271870929215313236828135698893709741650447459096053747279
> 65244770940992412387106144705439867436473384774548191008728862221495895295911878
> 92149179833981083788278153065562315810360648675873036014502273208829351341387227
> 68417667843690529428698490838455744579409598626074249954916802853077398938296036
>
> (continued)
>
> See: https://apod.nasa.gov/htmltest/gifcity/sqrt2.1mil
> Dan
>
> Download my DC Proof 2.0 freeware at http://www.dcproof.com
> Visit my Math Blog at http://www.dcproof.wordpress.com
Good , this is still a decimal RATIONAL number, isn't it?
But Sqrt2 is of course an irrational number, isn't it?

So, how can you equate rational with irrational?
I mean which miracle or theory which legalize this obvious human 🐦 brain fart? Wonder!

BKK