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<!-- %plain TeX file glimpses.tex %last altered 28 x 2011 --> |
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== Glimpses of History: Olden Times == |
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| [[:Image:Boyle's mercurial gauge.jpg]] || blank |
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| [[:Image:Replica of Magdeburg Hemisoheres.jpg]] || blank |
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| [[:Image:Repo von Guericke hemispheres.jpg]] || blank |
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| [[:Image:Spheres.jpg]] || blank |
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| || <hr> |
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| [[:Image:7-7 18.jpg]] || SF 1600x1200 |
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| || <HR> |
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| [[:Image:19 inch by 49U Rack row.jpg]] || SF 450x600 |
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| [[:Image:CCL SECTION.jpg]] || SF 450x600 |
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| [[:Image:Construction of of the accumulator ring.JPG]] || SF 600x450 |
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| [[:Image:Cray 2004.jpg]] || SF 600x450 |
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| [[:Image:DOE Dragline.JPG]] || SF 600x450 |
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| [[:Image:Dampring ring SLAC.jpg]] || SF 540x385 |
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| || <HR> |
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| || <HR> |
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| [[:Image:1920 Office Building.jpg]] |
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| [[:Image:Aaron Neville.jpg]] || 600x450 SF |
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| [[:Image:AOH shield.gif]] |
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| [[:Image:Atomic.gif]] |
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| [[:Image:Bavarian beer Mt Carbon Pottsville, Pennsylvania.gif]] |
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| [[:Image:Baviarian Beer.gif]] |
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| [[:Image:BayAreaImageShownDuringConcert jpeg.jpg]] || 512x460 |
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| [[:Image:Boyle.jpg]] |
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| [[:Image:Burton richter.jpg]] || thumb claimed PD-USGov |
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| [[:Image:Carbidelamp.jpg]] |
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| [[:Image:Castle75.jpg]] |
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| [[:Image:Castle75.jpg]] |
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| [[:Image:Center street School.jpg]] |
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| [[:Image:Center street School.jpg]] |
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| [[:Image:Center street School.jpg]] |
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| [[:Image:Centralia 03.jpg]] |
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| [[:Image:Centralia.jpg]] |
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| [[:Image:Centralia7.jpg]] |
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| [[:Image:Centraliasignthumb.jpg]] |
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| [[:Image:Cocunutgrove.JPG]] |
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| [[:Image:CRYO linac.gif]] |
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| [[:Image:DICE.jpg]] |
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| [[:Image:Einstein.jpg]] |
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| [[:Image:Einstein.jpg]] |
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| [[:Image:Einstein.jpg]] |
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| [[:Image:Einstein.jpg]] |
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| [[:Image:Einstein.jpg]] |
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| [[:Image:Eyes.gif]] |
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| [[:Image:FISHER BLUE MERLE1.jpg]] |
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| [[:Image:FISHER BLUE MERLE1.jpg]] |
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| [[:Image:Fisher CARBON LEAF.jpg]] |
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| [[:Image:Fisher CARBON LEAF.jpg]] |
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| [[:Image:Former yuengling mansion.jpg]] |
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| [[:Image:Former yuengling mansion.jpg]] |
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| [[:Image:Former yuengling mansion.jpg]] |
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| [[:Image:Front linac.gif]] |
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| [[:Image:Hex sign wilkum.jpg]] |
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| [[:Image:Hex sign wilkum.jpg]] |
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| [[:Image:Hex sign wilkum.jpg]] |
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| [[:Image:High Voltage capacitor.jpg]] || 361 x 216 SF? |
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| [[:Image:Kfog all artists August 2005.jpg]] |
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| [[:Image:Kfog all artists August 2005.jpg]] |
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| [[:Image:Kfog logo.jpg]] |
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| [[:Image:Kfog logo.jpg]] |
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| [[:Image:Kfog logo.jpg]] |
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| [[:Image:Lancaster County covered bridge.jpg]] || 422 x 288 SF |
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| [[:Image:LINAC.jpg]] || 540 x 385 PD not SF |
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| [[:Image:Loslonelyboysstage.jpg]] |
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| [[:Image:Mag hemispheres.jpg]] |
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| [[:Image:Mag hemispheres.jpg]] |
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| [[:Image:Minersville.jpg]] |
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| [[:Image:Minersville.jpg]] |
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| [[:Image:Molly coffinnotice.gif]] |
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| [[:Image:Molly coffinnotice.gif]] |
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| [[:Image:Mount Carbon Pic.gif]] |
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| [[:Image:Mt carbon brewery.gif]] |
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| [[:Image:NECHO ALLEN HOTEL.jpg]] || 250 x 287 - can't find with Google |
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| [[:Image:NECHO ALLEN PIC.jpg]] |
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| [[:Image:NECHO ALLEN PIC.jpg]] |
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| [[:Image:NECHO ALLEN PIC.jpg]] |
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| [[:Image:NECHO ALLEN PIC.jpg]] |
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| [[:Image:NECHO ALLEN PIC.jpg]] |
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| [[:Image:NECHOallanhotel.jpg]] |
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| [[:Image:NECHOallanhotel.jpg]] |
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| [[:Image:NECHOallanhotel.jpg]] |
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| [[:Image:Nnsalogo.gif]] |
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| [[:Image:Nnsalogo.gif]] |
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| [[:Image:Nsc.JPG]] |
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| [[:Image:Nsc.JPG]] |
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| [[:Image:Nsc.JPG]] |
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| [[:Image:Ohara.gif]] |
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| [[:Image:Ohara.gif]] |
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| [[:Image:Ohara.gif]] |
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| [[:Image:Ohara.gif]] |
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| [[:Image:OHARAS LOST WORK.jpg]] |
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| [[:Image:OHARAS LOST WORK.jpg]] |
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| [[:Image:OHARAS LOST WORK.jpg]] |
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| [[:Image:OHARAS LOST WORK.jpg]] |
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| [[:Image:Old pottsville train station.jpg]] |
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| [[:Image:Old silk mill 12th and Laural Street.jpg]] |
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| [[:Image:Old silk mill 12th and Laural Street.jpg]] |
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| [[:Image:Old silk mill 12th and Laural Street.jpg]] |
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| [[:Image:ORNL.jpg]] |
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| [[:Image:Pa bridge.jpg]] |
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| [[:Image:Pa bridge.jpg]] |
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| [[:Image:Paleoparadoxia.jpg]] || 600x409 SF probably |
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| [[:Image:Photohara.jpg]] |
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| [[:Image:Pief.jpg]] |
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| [[:Image:Pioneer coal miner.JPG]] |
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| [[:Image:Pioneer coal miner.JPG]] |
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| [[:Image:Pioneer coal miner.JPG]] |
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| [[:Image:Pottsville court house.gif]] |
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| [[:Image:Pottsville court house.gif]] |
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| [[:Image:Pottsville pa.jpg]] |
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| [[:Image:Pottsville pa.jpg]] |
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| [[:Image:Pottsville pa.jpg]] |
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| [[:Image:Pottsville pa.jpg]] |
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| [[:Image:Pottsville train station.jpg]] |
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| [[:Image:Pottsville train station.jpg]] |
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| [[:Image:Pottsville train station.jpg]] |
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| [[:Image:Pottsville train station.jpg]] |
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| [[:Image:POTTSVILLE trainstation.jpg]] |
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| [[:Image:Pottsville.jpg]] |
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| [[:Image:Pottsville.jpg]] |
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| [[:Image:Pottsville.jpg]] |
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| [[:Image:Quadrupole magnet.gif]] |
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| [[:Image:Quadrupole magnet.gif]] |
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| [[:Image:RADIATION SIGN.jpg]] |
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| [[:Image:RADIATION SIGN.jpg]] |
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| [[:Image:Reading.gif]] |
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| [[:Image:Rf transmitter rack.jpg]] |
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| [[:Image:Rf transmitter rack.jpg]] |
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| [[:Image:Rubbia.jpg]] |
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| [[:Image:Rubbia.jpg]] |
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| [[:Image:Schuylkill river watershed drawing.jpg]] |
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| [[:Image:SCHUYLKILL RIVER.jpg]] |
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| [[:Image:SCHUYLKILL RIVER.jpg]] |
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| [[:Image:Scotty.jpg]] |
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| [[:Image:Scotty.jpg]] |
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| [[:Image:Slacklystrongallery.jpg]] |
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| [[:Image:Slacklystrongallery.jpg]] |
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| [[:Image:SNS 022.jpg]] |
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| [[:Image:SNS 022.jpg]] |
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| [[:Image:SNS 022.jpg]] |
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| [[:Image:SNS 022.jpg]] |
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| [[:Image:SNS 033.jpg]] |
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| [[:Image:SNS 033.jpg]] |
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| [[:Image:SNS 033.jpg]] |
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| [[:Image:SNS 033.jpg]] |
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| [[:Image:Sns aerial 1717 april 2005 sm.jpg]] |
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| [[:Image:Sns aerial 1717 april 2005 sm.jpg]] |
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| [[:Image:Sns aerial 1717 april 2005 sm.jpg]] |
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| [[:Image:SNS LOGO.jpg]] |
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| [[:Image:SNS LOGO.jpg]] |
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| [[:Image:SNS LOGO.jpg]] |
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| [[:Image:SNS RF ion Source.jpg]] |
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| [[:Image:SNS RF ion Source.jpg]] |
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| [[:Image:SNS RF ion Source.jpg]] |
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| [[:Image:SNS RF ion Source.jpg]] |
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| [[:Image:Sns superconducting cryomodule section.jpg]] |
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| [[:Image:Sns superconducting cryomodule section.jpg]] |
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| [[:Image:Sns superconducting cryomodule section.jpg]] |
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| [[:Image:Sns.jpg]] |
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| [[:Image:Sns.jpg]] |
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| [[:Image:Sns.jpg]] |
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| [[:Image:Sns1.jpg]] |
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| [[:Image:Stevensbannerimage.jpg]] |
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| [[:Image:Stevensbannerimage.jpg]] |
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| [[:Image:Stevensbannerimage.jpg]] |
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| [[:Image:Sts students home.jpg]] |
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| [[:Image:Sts students home.jpg]] |
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| [[:Image:The old Yorkville Hose Bldg.jpg]] |
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| [[:Image:The old Yorkville Hose Bldg.jpg]] |
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| [[:Image:THE OLD YORKVILLE SCHOOL.jpg]] |
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| [[:Image:THE OLD YORKVILLE SCHOOL.jpg]] |
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| [[:Image:THE OLD YORKVILLE SCHOOL.jpg]] |
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| [[:Image:The Pennsylvania Turnpike LOGO.jpg]] |
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| [[:Image:The Pennsylvania Turnpike LOGO.jpg]] |
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| [[:Image:The Pennsylvania Turnpike LOGO.jpg]] |
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| [[:Image:The Pennsylvania Turnpike LOGO.jpg]] |
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| [[:Image:The reading railroad.jpg]] |
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| [[:Image:The reading railroad.jpg]] |
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| [[:Image:The-Marion-Shovel.jpg]] |
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| [[:Image:The-Marion-Shovel.jpg]] |
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| [[:Image:Toweranim.gif]] |
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| [[:Image:Transformer 13.8 KV er.JPG]] || 600x450 SF |
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| [[:Image:Tumbling run.jpg]] || postcard copyvio |
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| [[:Image:Usflagwave.gif]] |
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| [[:Image:Usflagwave.gif]] |
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| [[:Image:Vacuum ranges.jpg]] || text |
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| [[:Image:Welcome to Intercourse Pennslyvania.jpg]] || 635x425 SF |
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| [[:Image:Winwood Fisher.JPG]] || 450x600 SF |
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| [[:Image:Wmp button.gif]] |
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| [[:Image:Yuengling carriage tray.gif]] |
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| [[:Image:Yuengling carriage tray.gif]] |
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| [[:Image:Yuengling carriage tray.gif]] |
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| [[:Image:Yuengling carriage tray.gif]] |
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| [[:Image:Yuengling coaster.jpg]] |
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| [[:Image:Yuengling coaster.jpg]] |
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| [[:Image:Yuengling sign2.jpg]] |
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| [[:Image:Yuengling sign2.jpg]] |
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| [[:Image:Yuengling sign2.jpg]] |
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| [[:Image:Yuengling tin.gif]] |
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| [[:Image:Yuengling tin.gif]] |
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|} |
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=== by ''Martin Huxley'' === |
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==RGLE== |
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<table border="1" cellpadding="20" cellspacing="0" width="90%" id="table1" bordercolordark="#808000" bordercolorlight="#CCCCCC"> |
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<tr><td>jjjj |
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</td> |
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</tr> |
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</table> |
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<poem> |
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{| |
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First traces of Maths that we find, |
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|- |
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Old bones in a cave left behind, |
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|align=center colspan=2|<big><big>United Grand Lodge of England</big></big><br> |
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:With patterns of nicks, |
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<big>Freemasons’ Hall, Great Queen Street, London, WC2B 5AZ</big><br> |
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:Babylonian tricks, |
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'''Telephone: 020 7831 9811'''<br> |
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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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'''Fax: 020 7831 6021</b>''' |
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| Our ref: COMMS/RAHM/JMI-I/sdh/Gsecsl || align=right | lOth May 2005 |
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| |
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| colspan=2| Dear Brother Grand Secretary |
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We don't have a board game of [[Santorini|Thera]]'s' |
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<center><u><b>The Regular Grand Lodge of England</b></u></center> |
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[[Chaturanga]]'s from subsequent eras, |
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:But a race game is known, |
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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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You may be aware that an irregular body styling itself the “Regular Grand Lodge of England” has been gaining publicity through its own website, the website of other irregular bodies and a certain amount of ill-informed gossip in Masonic “chatrooms” on the internet. |
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Add up to the underside square," |
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:But PYTHAGORAS' battle, |
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:Root two is irrat'l, |
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No cattle were sacrificed there. (about 550BC) |
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"What ratio seen in the square |
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It is being claimed that the formation of the “Regular Grand Lodge of England” is a result of a major schism within the United Grand Lodge of England that has led to a significant number of Lodges and individual members withdrawing from the United Grand Lodge of England. Those claims are malicious lies, with no foundation in reality. Of the known members of this new, irregular body, only two appear to have had any connection with regular Freemasonry in England. Rather than Lodges having defected to it, there appears to be only one active Lodge, self-constituted this year. Their website links page shows links to other irregular, self-constituted Grand Lodges in India and Europe, including the Grand Lodge of France, whose Grand Chancellor, Michael Singer, has been appointed representative of the “Regular Grand Lodge of England” for France. |
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Does the side to diagonal bear? |
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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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I would be grateful if you could warn any of your members who might be visiting England that this new body is irregular, and, that to ensure they do not inadvertendy have contact with an irregular body their Masonic contacts in England should be made only through my office. |
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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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Yours faithfully and fraternally |
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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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RA H Morrow<br> |
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Was also a noted magician. |
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Grand Secretary |
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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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Distribution: '''Grand Secretaries of recognised Grand Lodges''' |
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So EUCLID's first proof was acquired |
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|} |
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By assumption of what was desired: |
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:"Either a or else b |
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:Is a product of p." |
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There's a modern text equally mired. <ref name="Nark" /> |
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"Did they make something fake for a crown? |
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It would take sort of `density' down… |
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:I've found it! Heureka!" |
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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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ARCHIMEDES relaxes and seeks |
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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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"Consider the flocks of the sun…" |
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Was how ARCHIMEDES begun. |
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:For counting the fleeces, |
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:Even ant'hyp'hairesis |
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Leaves plenty of work to be done. (about 220BC) |
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The ancient Sicilian Don, |
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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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When forming an area mapping |
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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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How the Emperors exercise might, |
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What the West calls the move of a knight: |
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:Tread the Paces of Yu |
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:Around the Lo Shu |
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Magic square, South to North, left to right. (MING TANG 23) |
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LIU HUI, a name to recall, |
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Got pi with an error that's small. |
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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 |
|||
: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. |
|||
:Although he attained a |
|||
:High rank, his remainder |
|||
'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