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Babylonian Tablet Reveals Advanced Mathmatics, Hidden Until Now

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University of New South Wales (UNSW) Sydney scientists have discovered the purpose of a famous 3700-year old Babylonian clay tablet, revealing it is the world’s oldest and most accurate trigonometric table, possibly used by ancient mathematical scribes to calculate how to construct palaces and temples and build canals.

The new research shows the Babylonians, not the Greeks, were the first to study trigonometry – the study of triangles – and reveals an ancient mathematical sophistication that had been hidden until now.

Known as Plimpton 322, the small tablet was discovered in the early 1900s in what is now southern Iraq by archaeologist, academic, diplomat and antiquities dealer Edgar Banks, the person on whom the fictional character Indiana Jones was based.

The 3,700-year-old Babylonian tablet Plimpton 322 at the Rare Book and Manuscript Library at Columbia University in New York.

Credit: UNSW/Andrew Kelly

It has four columns and 15 rows of numbers written on it in the cuneiform script of the time using a base 60, or sexagesimal, system.

The UNSW Science research provides an alternative to the widely-accepted view that the tablet was a teacher’s aid for checking students’ solutions of quadratic problems.

“The huge mystery, until now, was its purpose – why the ancient scribes carried out the complex task of generating and sorting the numbers on the tablet.

“Our research reveals that Plimpton 322 describes the shapes of right-angle triangles using a novel kind of trigonometry based on ratios, not angles and circles. It is a fascinating mathematical work that demonstrates undoubted genius.

The new study by Dr Mansfield and UNSW Associate Professor Norman Wildberger is published in Historia Mathematica, the official journal of the International Commission on the History of Mathematics.

A trigonometric table allows you to use one known ratio of the sides of a right-angle triangle to determine the other two unknown ratios.

The Greek astronomer Hipparchus, who lived about 120 years BC, has long been regarded as the father of trigonometry, with his “table of chords” on a circle considered the oldest trigonometric table.

“Plimpton 322 predates Hipparchus by more than 1000 years,” says Dr Wildberger. “It opens up new possibilities not just for modern mathematics research, but also for mathematics education. With Plimpton 322 we see a simpler, more accurate trigonometry that has clear advantages over our own.”

“A treasure-trove of Babylonian tablets exists, but only a fraction of them have been studied yet. The mathematical world is only waking up to the fact that this ancient but very sophisticated mathematical culture has much to teach us.”

Dr Mansfield read about Plimpton 322 by chance when preparing material for first year mathematics students at UNSW. He and Dr Wildberger decided to study Babylonian mathematics and examine the different historical interpretations of the tablet’s meaning after realizing that it had parallels with the rational trigonometry of Dr Wildberger’s book Divine Proportions: Rational Trigonometry to Universal Geometry.

UNSW Sydney scientist Dr. Daniel Mansfield with the 3,700-year-old Babylonian tablet Plimpton 322 at the Rare Book and Manuscript Library at Columbia University in New York.

Credit: UNSW/Andrew Kelly

The 15 rows on the tablet describe a sequence of 15 right-angle triangles, which are steadily decreasing in inclination.

The left-hand edge of the tablet is broken and the UNSW researchers build on previous research to present new mathematical evidence that there were originally 6 columns and that the tablet was meant to be completed with 38 rows.

They also demonstrate how the ancient scribes, who used a base 60 numerical arithmetic similar to our time clock, rather than the base 10 number system we use, could have generated the numbers on the tablet using their mathematical techniques.

The UNSW Science mathematicians also provide evidence that discounts the widely-accepted view that the tablet was simply a teacher’s aid for checking students’ solutions of quadratic problems.

“Plimpton 322 was a powerful tool that could have been used for surveying fields or making architectural calculations to build palaces, temples or step pyramids,” says Dr Mansfield.

The tablet, which is thought to have come from the ancient Sumerian city of Larsa, has been dated to between 1822 and 1762 BC. It is now in the Rare Book and Manuscript Library at Columbia University in New York.

A Pythagorean triple consists of three, positive whole numbers a, b and c such that a2 + b2 = c2. The integers 3, 4 and 5 are a well-known example of a Pythagorean triple, but the values on Plimpton 322 are often considerably larger with, for example, the first row referencing the triple 119, 120 and 169.

The name is derived from Pythagoras’ theorem of right-angle triangles which states that the square of the hypotenuse (the diagonal side opposite the right angle) is the sum of the squares of the other two sides.

Contacts and sources:
Dr Daniel Mansfield
Associate Professor Norman Wildberger
 Deborah Smith

University of New South Wales (UNSW) Sydney 


Source: http://www.ineffableisland.com/2017/09/babylonian-tablet-reveals-advanced.html


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    • unidentified

      thats why we’re using computers today , most people dont work well with big numbers and abstract coding :twisted:

    • goastdale

      2Thess 2:10..because they received not THE LOVE (Agape)of the truth, that they might be saved. 11. And for this cause God shall send them strong delusion, that they should believe a lie:

      123’s of true Christianity v popular & damnable heresies

      #1 “ONE” not triune: ……PART 4 & 5 HOW MANY GODS ARE THERE FOR THE ONE GOD TO TALK TO?? Who was Jesus praying to??!?…. The real question should be … How does having multiple different persons keep this one God/being/entity from praying to himself?! (The trinitarian “schizophrenic” “god-head”) The Trinitarians want to have their cake and eat it too as the saying goes. On the one hand they need to say they only worship one indivisible God being/ entity but on the other hand they feel the need for some reason to keep Jesus or God from praying and talking to himself by dividing him up into different persons!?! It never occurs to them that that since there is only one indivisible God to pray too and Jesus is that indivisible God come in the flesh that he would need to talk to himself as to show us how to live, suffer, pray and die for our/ flesh) benefit not his!?!….. So while Trinitarians are quick to complain that God was not talking to himself at Christ baptism or in Gen “let us” they ignore the logical demands of their own theology! If Jesus is the ONE GOD in flesh and the Father is the SAME ONE GOD in heaven then Trinitarianism demands THE ONE GOD is talking to HIMSELF the same “being”! Claiming that God is multiple different persons as the reason for why God is not talking to himself (because God is three different “selfs”) only demonstrates that what they really worship is in fact not a ONE GOD who talks to himself but three different god “selfs”/ and they all talk to each other! When they speak about who God was talking and praying to, they are quick to say “the other person, NOT HIMSELF!” But if you ask them how many gods do they pray to then they will say “ONLY ONE”!?! They expect you to believe that those three different persons are THE ONE GOD-BEING” which is like calling three different cars “THE ONE VEHICLE” (they are text book examples of prov 26:12)
      Mark 12:28…Which is the first commandment of all? 29. …Hear, O Israel; THE LORD OUR GOD IS ONE LORD: 30. And ………..this is the first commandment….. 31. And the second is….. IF YOU CAN’T GET THIS “FIRST OF ALL COMMANDMENTS” RIGHT, ALL THE REST OF YOUR “FAITH” AND PREACHING ON LOVE & SIN IS MOOT

      PART 6: THE ANTI CHRIST….WHERE? WHERE?….EVERYWHERE!!! …..IT”S YOU O TRINITARIAN!
      “WHO” it was (what person) that came “IN THE FLESH”, IS THE DETERMINING FACTOR IN WHAT IT MEANS TO BE “ANT-CHRIST”! Even Islam claims Jesus was the Jewish messiah/Christ who was to come in the flesh) they all deny “WHO” it was (what person) that came (to be the Christ) in the flesh!?!…….To deny the father is to deny the son because they are one and the same person that came in the flesh!
      JOHN 14: 8-20 ….Note Isaiah 9:6. For unto us a child is born, unto us a son is given: …: and his name shall be called Wonderful, Counseller, … the everlasting Father ….The son, father/Holy Spirit are all the same person, NOT like two different persons working together even as “one flesh” ….The “oneness” between Christ and the father is not comparable to a man & his wife, for only a fool would say “When you have seen me you have seen my wife, how sayest thou then, Shew us your wife?” Notice they asked to see THE FATHER and the response was Jn 14:9 ..“HAVE I BEEN SO LONG time with you, and yet hast THOU NOT KNOW ME, Philip…..Now image some fool trying to claim that statement if you asked to see his wife!?!!? You want to see the FATHER but have I been with you but you don’t know me!?!?!
      Jn 14 continued….…………..17. Even THE SPIRIT OF TRUTH; (Jn 14:6 I AM the way, THE TRUTH,) whom the world cannot receive, .. for HE DEWLLETH WITH YOU, (present tense/standing next to them in the flesh) and SHALL BE IN YOU… (future tense “In them”) 18. I will not leave you comfortless: I WILL COME TO YOU (future tense “In them”) Note: The spirit of Christ is the sprit of God and the holy spirit that is why Christ said “I will come to you” (to comfort them, because Christ is the comforter). The spirit was standing next to them in flesh… ….latter it would come to them to be inside of them (inside of their flesh as the spirit we are given)…..that is why. he would send the spirit…… However, Jesus himself here makes the point that the same person who was the HOLY SPIRIT that would come was standing next to them but lets them know “I will come to you again to be Inside of you”
      The whole point to Gal 3:20.a mediator is NOT A MEDIATOR OF ONE, (HEIS) but GOD IS ONE. (HEIS) again, point blank, identifies the number of persons of God! The “but” points out the contrast between multiple persons in a mediation party v the “one” of God. God is not like a mediation party with multiple different persons. …..”the express image of his person” ( the person of God; singular not plural).Any attempt to lay claim otherwise is willful ignorance and delusional nonsense
      TRINITARIANS CONFESS JESUS /THEY ARE NOT POLYTHEIST BUT ARE MONOTHEIST LIKE A LIAR & THIEF WHO “CONFESS” THEY DO NOT LIE OR STEAL The simple fact is that just because you confess or deny that you are in an adulterous relationship and denounce all forms of adultery has nothing to do with whether or not it is in fact adulterous! .. …A rose by any other name is still just a rose AND calling it a water lily does not change the definition of what a water Lilly or a rose is either!…No, Trinitarians confess & preach literally …”ANOTHER JESUS” 2 Cor 11:4
      - Like a thief in your house caught stealing your things insisting he was not there stealing “I CONFESS I am NOT stealing”. You just do not “properly understand” what he is doing/saying. Further, since you never had a “proper understanding” of what he is doing/saying you have no business accusing him since you do not even know what you are talking about in the first place. It is with and in your own ignorance that you base your “false accusations” & “ad homonym attacks” against him…… Ridiculous of course it is ……2Thess 2:11; Titus 1:16; 2Tim 3:5;
      …… should have given you a hint, harking back to Satan in The garden…God said you will die…Satan comes along and states no you will be more WISE……today .God said He is one; but Satan’s children come along and say no three is more WISE and humble in the face of God’s grandeur only “a mystery” that can be understood “in faith”. God uses head and right arm to explain the distinctions between father and son.. However, the Trinitarian heretics say to the effect: “NO, that is just a figure of speech, or that is not what God really means. What God is really saying is that God is three different persons”. Fools, hypocrites and blind guides, God said he was One and by your traditions and vain imaginations have taken the words of God and made them of no effect, refashioning God into your image!
      You can download the complete FREE book from
      https://www.scribd.com/doc/305367608/The-Trinity-Heresy
      OR
      https://www.academia.edu/23463667/THE_TRINITY_HERESY
      or
      http://www.globethics.net/gtl/10920799 THE TRINITY HERESY

      #2 SECOND COMING Thou Fool! “I come quickly” so “Hold fast
      till i come”… NOT …“in another 2000 yrs I might be coming soon any time now, so hold fast”!?! …those that deny the second coming of Christ in the war of AD70 are practicing a damnable heresy in denying the lord that bought them ( 2Peter 2:1-2 ;2Tim 4:8/ you cant love an appearing you deny& the context is the 2nd coming not the first)… Mat 7:23..”I NEVER KNEW YOU” …..Mat 10:33. But whosoever shall deny me before men……..sound familiar?…. If I said I am coming to your house in this generation when these things happen but no one knows the day or hour what fool would think I might be coming in 2000 years latter!?!? ..2 Tim 4: 4. And
      they shall turn away their ears from the truth, and shall be TURNED UNTO FABLES.
      2Thess 2: 11. And for this cause God shall send them strong delusion, that they should believe a lie: 12. That they all might be damned who believed not the truth, but had pleasure in unrighteousness.
      DOWNLOAD FREE THE ENTIRE 480PG BOOK AT SEVERAL LOCATIONS
      https://www.scribd.com/doc/305366745/Revelation-the-First-Gospel-of-the-Kingdom
      or
      http://www.globethics.net/gtl/5455069 Revelation The First Gospel of The Kingdom
      or
      https://www.academia.edu/23464127/REVELATION_THE_FIRST_GOSPEL_OF_THE_KINGDOM

      #3 There is a sharp contrast between THREE groups :
      (1) “PREDESTINED DAMNED” who were NEVER written in the book of life ………..Rev 17: 8 WHOSE NAMES WERE NOT WRITTEN IN THE BOOK OF LIFE FROM THE FOUNDATION OF THE WORLD, …as contrasted …EPH 1: 4. According as he hath CHOSEN US in him BEFORE THE FOUNDATION OF THE WORLD
      (2) “MANY CALLED”= ONLY and ALL SAINTS (those who come to Christ) are written in the book of life … Philippians 4:3… ……Rev 21:27; (Only saints are Called and elect; Rom 1:6-7 et al) This is THE CHRUCH and ONLY these can have their names blotted out of the book of life ….….Heb 12:23 to the general assembly and CHURCH of the firstborn … WHICH ………are WRITTEN in heaven,
      (3) THE FEW CHOSEN: Those saints who were alive in group #2 who are now physically dead. They died “faithful” these are the FEW that were chosen faithful…….Rev 3:5. ……; and I
      will not BLOT OUT HIS NAME OUT OF THE BOOK OF LIFE, (Ps 69:28) …. These are the FEW that are CHOSEN and now that they have died and are saved then “once saved THEY CAN NEVER BE LOST”
      Predestination….its true..its all true…download here
      https://www.scribd.com/doc/306868420/Most-True-Christians-Go-to-Hell
      http://www.globethics.net/gtl/10920800 Most true Christians go to hell
      https://www.academia.edu/25217564/Most_True_Christains_Go_to_Hell

    • raburgeson

      Not necessary, instead of using the tenths place just move to the hundredth place and you get a higher resolution yet.

    • 2QIK4U

      Triangles…. 322…,👌

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