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==bm== |
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== Glimpses of History: Olden Times == |
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=== by ''Martin Huxley'' === |
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'''Burnham Market''' is a town on the north coast of [[Norfolk]], [[England]]. |
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<poem> |
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an ancient settlement for amber trade. |
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First traces of Maths that we find, |
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Old bones in a cave left behind, |
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:With patterns of nicks, |
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:Babylonian tricks, |
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And the fruitful <span class="plainlinks">[http://en.wikipedia.org/wiki/Rhind_Mathematical_Papyrus Papyrus of Rhind]</span>. |
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We don't have a board game of [[Santorini|Thera]]'s' |
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[[Amber]] (the "burning" stone or "burnstone") is found at the northern east coast of [[Norfolk]] near the city of [[Cromer]]. |
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[[Chaturanga]]'s from subsequent eras, |
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At a small distance west of Cromer a number of towns with the name of Burnham may be located. |
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:But a race game is known, |
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The Domesday Book from 1086 even mentions seven settlements Burnham on sea within a radius of two miles, but some of them have been swallowed by the North Sea, leaving today: |
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:Bets and dice being thrown, |
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And its catchphrase, `Apekho s'ap'hieras!'. |
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[I take you off the [[Royal Game of Ur|Sacred Way]]. Chaturanga gave rise to chess and cards. The Drowned City of Thera is one source of the Atlantis story.] |
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"The squares on the legs as a pair |
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*Burnham Thorpe, |
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Add up to the underside square," |
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*Burnham Overy, |
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:But PYTHAGORAS' battle, |
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*Burnham Norton, |
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:Root two is irrat'l, |
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*Burnham Deepdale, und |
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No cattle were sacrificed there. (about 550BC) |
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*Burnham Market. |
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"What ratio seen in the square |
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The towns are located at the sea near a large natural bay named [[Brancaster Bay]]. |
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Does the side to diagonal bear? |
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[[Burnham Thorpe]] is famous as the birthplace of admiral Nelson, but most of all these locations must have been marketplaces for “burn”-stones and the inhabitants once were earning money by trading amber. |
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:Can the numbers of GOD |
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:Be both even and odd?" |
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Impetuous student, beware! (about 550BC) |
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PYTHAGORAS' numbers were wholes |
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'''Burnham Market''' even carries a market-attribute in its name. |
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With losable, breathable souls, |
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:And the student who knew |
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:About square root of two |
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Was sent down, charged with kicking own goals. (about 550 BC) |
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The pentagon HIPPASOS saw |
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[[Brancaster]] also carries another burning-sign in its name and these names indicated a link to amber trading. Brancaster named Branodunium also has been an important settlement at the time of Roman occupation. The period of time of the amber findings in Cromer is said to be 1600 – 600 before Christ and for this reason the names must be at least 2600 years old. The Brancaster harbour may have been in use for both exporting the Cromer or other British findings and importing Baltic amber. |
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Has a small one inside when you draw |
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:The diagonal lines. |
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:Repetition defines |
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The irrational nature of tau. <ref>Thanks to K.M. SCHMIDT</ref> |
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Doctor EUCLID the mathematician |
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The corresponding sea-port at the mainland may have been [[Antwerpen]] in Belgium, which is named "Amberes" in Spanish language, indicating [[amber]] as an important trading good at the time of foundation. |
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Was also a noted magician. |
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:While hymning to Demeter |
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:He proved several lemmata, |
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And almost invented division. (about 300BC) |
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In a German periodical Karl Jülicher describes at least 4 locations of amber founds in Brittain, all situated at the east coast of Brittain and indicated at or at least nearest to the following locations: |
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So EUCLID's first proof was acquired |
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* [[Cromer]] in Norfolk near the 7 [[Burnham]]-towns and Burnham Market |
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By assumption of what was desired: |
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* The [[Humber]] mouth to the North Sea |
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:"Either a or else b |
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* Sunderland or Tynemouth at the southern border of Northumberland |
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:Is a product of p." |
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* Burnmouth or Berwick at the northern border of Northumberland |
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There's a modern text equally mired. <ref name="Nark" /> |
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These indications suggest reading Burnham Market as an amber trading settlement, |
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[[Amber]] for Umber/Humber, understanding the [[Humber]] as the [[Amber]]-river and [[Northumberland]] as the northern [[amber]]-area. |
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"Did they make something fake for a crown? |
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==External links== |
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It would take sort of `density' down… |
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{{oscoor gbx|TF834422}} |
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:I've found it! Heureka!" |
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*[http://www.norfolkcoast.co.uk/location_norfolk/vp_burnhammarket.htm norfolkcoast.co.uk on Burnham Market] |
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:He ran as a streaker |
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From his bath through the town with no gown. (ARCHIMEDES) |
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Was bubble bath known to the Greeks? |
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==AinBP== |
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ARCHIMEDES relaxes and seeks |
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[[Burnham Market]] is an ancient settlement for amber trade. |
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:An assay for the crown, |
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:Blowing foam up and down… |
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He'd've not found the answer for weeks. (about 220BC) |
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[[Amber]] (''burnstein'' in German, the "burning" stone or "burnstone") is found at the northern east coast of [[Norfolk]] near the city of [[Cromer]]. |
|||
At a small distance west of Cromer a number of towns with the name of Burnham may be located. |
|||
The Domesday Book from 1086 even mentions seven settlements Burnham on sea within a radius of two miles, but some of them have been swallowed by the North Sea, leaving today: |
|||
"Consider the flocks of the sun…" |
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*Burnham Thorpe, |
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Was how ARCHIMEDES begun. |
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*Burnham Overy, |
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:For counting the fleeces, |
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*Burnham Norton, |
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:Even ant'hyp'hairesis |
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*Burnham Deepdale, und |
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Leaves plenty of work to be done. (about 220BC) |
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*Burnham Market. |
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The towns are located at the sea near a large natural bay named [[Brancaster Bay]]. |
|||
[[Burnham Thorpe]] is famous as the birthplace of admiral Nelson, but most of all these locations must have been marketplaces for “burn”-stones and the inhabitants once were earning money by trading amber. |
|||
The ancient Sicilian Don, |
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'''Burnham Market''' even carries a market-attribute in its name. |
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ARCHIMEDES, could be living on. |
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:When his life should be spared, |
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:He went: "Halve it if paired, |
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If unpaired, go to <math>3n + 1</math>". (212BC; the 'Syracuse Algorithm') |
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[[Brancaster]] also carries another burning-sign in its name and these names indicated a link to amber trading. Brancaster named Branodunium also has been an important settlement at the time of Roman occupation. The period of time of the amber findings in Cromer is said to be 1600 – 600 before Christ and for this reason the names must be at least 2600 years old. The Brancaster harbour may have been in use for both exporting the Cromer or other British findings and importing Baltic amber. |
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When forming an area mapping |
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The corresponding sea-port at the mainland may have been [[Antwerpen]] in Belgium, which is named "Amberes" in Spanish language, indicating [[amber]] as an important trading good at the time of foundation. |
|||
With tangents and segments and capping, |
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:The historical Greeks |
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:Were constrained in techniques: |
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They had to avoid overlapping. (thanks to ROGERS) |
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In a German periodical Karl Jülicher <!--**** Need a reference to this ****--> describes at least 4 locations of amber founds in Brittain, all situated at the east coast of Brittain and indicated at or at least nearest to the following locations: |
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How the Emperors exercise might, |
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* [[Cromer]] in Norfolk near the "seven£ [[Burnham Market|Burnham]] towns |
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What the West calls the move of a knight: |
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* The [[Humber]] mouth to the North Sea |
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:Tread the Paces of Yu |
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* Sunderland or Tynemouth at the southern border of Northumberland |
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:Around the Lo Shu |
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* Burnmouth or Berwick at the northern border of Northumberland |
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Magic square, South to North, left to right. (MING TANG 23) |
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These indications suggest reading Burnham Market as an amber trading settlement, |
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[[Amber]] for Umber/Humber, understanding the [[Humber]] as the [[Amber]]-river and [[Northumberland]] as the northern [[amber]]-area. |
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LIU HUI, a name to recall, |
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==External links== |
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Got pi with an error that's small. |
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*[http://www.joannesrichter.homepage.t-online.de/Androgyn/SpellingTUI.pdf Joannes Richter on amber] (big [[PDF]]) |
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:He was able to vary a |
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:Treatment of area |
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So triangles fill almost all. (about 300; thanks to ROGERS) |
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DIOPHANTUS's book: if you buy it, |
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Twelve chapters, then everything's quiet; |
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:HYPATIA's edition |
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:Cut short by sedition, |
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With the editor killed in a riot. (415) |
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The inscrutable Chinaman SSUN TSU |
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Gave a rule for when someone presents two |
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:Remainder conditions |
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:With co-prime divisions. |
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You pronounce him however you wants to. (about 450; but see CHIN CHIU-SHAO) |
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When you look for a name for your thesis |
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On how to take numbers to pieces, |
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:There's more satisfaction |
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:From "cut-taker fraction" |
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Than original "ant'hyp'hairesis". (BHATTACHARYA, EUDOXUS) |
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The story of solving the PELL: |
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The Greeks had techniques, but they fell. |
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:BHATTACHARYA was random, |
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:Then BHASKARA tandem; |
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Till LAGRANGE, "if it works, all is well". |
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A merchant asleep in his tent |
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At a halt on the road to Tashkent |
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:Awoke from his slumbers |
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:With negative numbers, |
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So, rather than coming, he went. |
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He set Algebra off on its way, |
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But the name AL-GORITHMI today |
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:Was taken in vain |
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:As "Maths is a pain", |
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In Greek "ho arithmos algeï". (AL-KHOWRIZMI, about 825) |
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The son of BONACCIO knew |
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What one pair of rabbits can do, |
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:Their awful potential |
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:To grow exponential, |
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First England, Australia too. (FIBONACCI 1202) |
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CHIN CHIU-SHAO fulfilled many goals, |
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Wrote a Treatise on Maths in nine scrolls; |
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:In his elegant library, |
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:Furnished by bribery, |
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He took wine, women, pork casseroles. (1247) |
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Who first combined residue classes? |
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In a country here nothing new passes, |
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:CHIN gave Master SONG |
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:His discovery (Strong |
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'Proximation), and called for the lasses. (1247) |
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A name, all the same, what is in? |
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Consider what happened to CHIN. |
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:Although he attained a |
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:High rank, his remainder |
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'S `Chinese', with no credit to him. (1247) |
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Was [[Mādhava of Sañgamāgrama|Madhava]] first to define |
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The series for cosine and sine? |
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:Such command of technique! |
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:In the land of the leek, |
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In his name, ev'ry week, let us dine! (at the Madhav; about 1400) |
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Has the magic departed from squares |
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Since DÜRER depicted black cares? |
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:No emperor paces, |
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:No astrologer traces, |
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No lawgivers leap from their chairs. (1514; MINGTANG, KEPLER, FRANKLIN) |
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</poem> |
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== References == |
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{{reflist|refs= |
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<ref name="Nark">Thanks to Narkiewicz</ref> |
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}} |
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<hr> |
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* [http://croydfas.0sites.org/r/history.htm Another version of this poem] |
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* [http://www.cardiff.ac.uk/maths/subsites/huxley/index.html Martin Huxley's home page] |
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* [http://www.cardiff.ac.uk/maths/research/researchgroups/ Number Theory home page] |
Latest revision as of 10:21, 7 June 2014
Glimpses of History: Olden Times
by Martin Huxley
First traces of Maths that we find,
Old bones in a cave left behind,
With patterns of nicks,
Babylonian tricks,
And the fruitful Papyrus of Rhind.
We don't have a board game of Thera's'
Chaturanga's from subsequent eras,
But a race game is known,
Bets and dice being thrown,
And its catchphrase, `Apekho s'ap'hieras!'.
[I take you off the Sacred Way. Chaturanga gave rise to chess and cards. The Drowned City of Thera is one source of the Atlantis story.]
"The squares on the legs as a pair
Add up to the underside square,"
But PYTHAGORAS' battle,
Root two is irrat'l,
No cattle were sacrificed there. (about 550BC)
"What ratio seen in the square
Does the side to diagonal bear?
Can the numbers of GOD
Be both even and odd?"
Impetuous student, beware! (about 550BC)
PYTHAGORAS' numbers were wholes
With losable, breathable souls,
And the student who knew
About square root of two
Was sent down, charged with kicking own goals. (about 550 BC)
The pentagon HIPPASOS saw
Has a small one inside when you draw
The diagonal lines.
Repetition defines
The irrational nature of tau. [1]
Doctor EUCLID the mathematician
Was also a noted magician.
While hymning to Demeter
He proved several lemmata,
And almost invented division. (about 300BC)
So EUCLID's first proof was acquired
By assumption of what was desired:
"Either a or else b
Is a product of p."
There's a modern text equally mired. [2]
"Did they make something fake for a crown?
It would take sort of `density' down…
I've found it! Heureka!"
He ran as a streaker
From his bath through the town with no gown. (ARCHIMEDES)
Was bubble bath known to the Greeks?
ARCHIMEDES relaxes and seeks
An assay for the crown,
Blowing foam up and down…
He'd've not found the answer for weeks. (about 220BC)
"Consider the flocks of the sun…"
Was how ARCHIMEDES begun.
For counting the fleeces,
Even ant'hyp'hairesis
Leaves plenty of work to be done. (about 220BC)
The ancient Sicilian Don,
ARCHIMEDES, could be living on.
When his life should be spared,
He went: "Halve it if paired,
If unpaired, go to ". (212BC; the 'Syracuse Algorithm')
When forming an area mapping
With tangents and segments and capping,
The historical Greeks
Were constrained in techniques:
They had to avoid overlapping. (thanks to ROGERS)
How the Emperors exercise might,
What the West calls the move of a knight:
Tread the Paces of Yu
Around the Lo Shu
Magic square, South to North, left to right. (MING TANG 23)
LIU HUI, a name to recall,
Got pi with an error that's small.
He was able to vary a
Treatment of area
So triangles fill almost all. (about 300; thanks to ROGERS)
DIOPHANTUS's book: if you buy it,
Twelve chapters, then everything's quiet;
HYPATIA's edition
Cut short by sedition,
With the editor killed in a riot. (415)
The inscrutable Chinaman SSUN TSU
Gave a rule for when someone presents two
Remainder conditions
With co-prime divisions.
You pronounce him however you wants to. (about 450; but see CHIN CHIU-SHAO)
When you look for a name for your thesis
On how to take numbers to pieces,
There's more satisfaction
From "cut-taker fraction"
Than original "ant'hyp'hairesis". (BHATTACHARYA, EUDOXUS)
The story of solving the PELL:
The Greeks had techniques, but they fell.
BHATTACHARYA was random,
Then BHASKARA tandem;
Till LAGRANGE, "if it works, all is well".
A merchant asleep in his tent
At a halt on the road to Tashkent
Awoke from his slumbers
With negative numbers,
So, rather than coming, he went.
He set Algebra off on its way,
But the name AL-GORITHMI today
Was taken in vain
As "Maths is a pain",
In Greek "ho arithmos algeï". (AL-KHOWRIZMI, about 825)
The son of BONACCIO knew
What one pair of rabbits can do,
Their awful potential
To grow exponential,
First England, Australia too. (FIBONACCI 1202)
CHIN CHIU-SHAO fulfilled many goals,
Wrote a Treatise on Maths in nine scrolls;
In his elegant library,
Furnished by bribery,
He took wine, women, pork casseroles. (1247)
Who first combined residue classes?
In a country here nothing new passes,
CHIN gave Master SONG
His discovery (Strong
'Proximation), and called for the lasses. (1247)
A name, all the same, what is in?
Consider what happened to CHIN.
Although he attained a
High rank, his remainder
'S `Chinese', with no credit to him. (1247)
Was Madhava first to define
The series for cosine and sine?
Such command of technique!
In the land of the leek,
In his name, ev'ry week, let us dine! (at the Madhav; about 1400)
Has the magic departed from squares
Since DÜRER depicted black cares?
No emperor paces,
No astrologer traces,
No lawgivers leap from their chairs. (1514; MINGTANG, KEPLER, FRANKLIN)
References