{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Denny_Pendulum+Clock+Anchor+Escapement

Denny_Pendulum+Clock+Anchor+Escapement - WWW MARK Denny F n...

Info iconThis preview shows pages 1–11. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 2
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Background image of page 10
Background image of page 11
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: WWW; MARK Denny F n u H PENflllLIJM ELflEH HNEHDH ESEHPEMENAT A Brief History of , Timekeeping R N - DAY w o R K E R s are slaves to time. They rush to catch the train or the 6:55 bus to their places of employment, then “clock work and “clock out" when they leave. In the evening they watch ariant or another of the game of football on TV at a preordained The game itself depends crucially on timekeeping. The ubiq- 5 version with a round ball has “time added on." Of the versions d with a prolate-spheroidal ball, the American variety has “time- is whereas the rugby league variety has a “final hooter” indicat- ssation of play. ‘ i was not always so. Timekeeping to within a second and nanosec- nly became essential in the twentieth century. Millennia ago it Important to keep time, but only to the nearest Week of the year, _, ow when crops should be planted, or when the river Nile would I ll ater it became desirable to divide the day or night into equal 93 M Mus/WW4 ': 5/5 MAW/4M3 Thw— owe/vase ma lob/{L9 hm FZmEmm<Umw EOIUZ< XUOAU EDqDDZml .505 0 005 5.83 5505 05 5055 00.5005 «005 5003 50 .m 00 .5503 505555030 .05 50 :05 05 05 00005 95005500 05 mo 505055 >05 05.0 .5020 5350055005030 0505 0 505 000500 .3“ 05w5 5 55050 05 505 000000 55000 50 055000 5< .mU m>NH 553000 w555w05 .0000> 00m 505005 5 0055 9500005055 500505005 05 05005 00 003 5050 000 02002050000 $30.5 05E. .5050>5 0003 A0950 05 mo 0030005 50:00 00v 505050000 0w50> 500 50053 55000 05 ~0005 050050 05 555 05a 5503 05 0005000 05. :0000m 505005 mo 505.. 05 003 00005055 500505005 50 50505 05 5 505505055 55050 < .505 05 05 >50 50.50005 00% 055 500/0305 >558 550055 05 5 005050 055.50 5055 505 05 05 >005000 5006505 055 550 50500 55005050 0505 05 w555 5006555 500505005 >005000 9550005055 305 5050 505 0 >00 0:050 0500.5 025 0005.5. 00505 0500> 30m 0 5505 550000 05 500 .mU owofi 5050 5550 0005 A50 50: 555 5505 0555 055. 0.5505 050050 05 05 5.05 0 00:00 05 00 >550? 055 >05m055 05 5:05 505 50 >50 500000005 0050050 5050 50.5 055. .0005 050050 0 05 .50000 505005 mo 505 0 05> 505005000 003 058 055. .5303 05 >5 50055 .05 0350005 05 05 035 00055 5503 058 05 005 00 .058 50505005 0 50:50 5583 00B 005 05 .50 550 0050 055. .0500 0 05 5050050 003 0.05 0.55503 0 >5 5000355 50? A5503 50555 050050 ._ <0 _ 24. :00 s. .j < .000 E 0 IF 00505 30505002 >595 .0005 -500 505 5500 >05 >50550>0 55 0055500 55 00 50:5 00 >5 05050 505 505005 555 00: 5 50050505 000505 9500005055 >500 0005 50 050m .5055 550505 50 000050005055 5050555 05 0003 0000059505 50050 00503 05 505 0505000 0502 .5000 555 505 550050 0005 50503 30505 05 590005 500 505300 055 0050005 .5500 505 5055 .05050ww0 50505300 3055 5005 .5005 5 00059505 00E. 500003 50 0003 055500 505055 0030a 50500 .x0 05 0053000 550 05350750 505525055 .595 50 >05 :03 >50300 00583 505 00505 5550005055 030505 550 00:55 0 05 5 00005 5050: >558 .55005305 0 5 50500000 5005 M505 .5005 500050500 05 0003505 50 0035200 05.5150 55500 555 05 5 005050050 0553500 mo 0000955 05 55 59550 :03 505 05 5505 550595 0.5052 mag 55 050050 055500 05:. 00005055 5005 505005 .50 5050 05 05 555 055 955005 05 0005/05 0050 0003 00055. i .. 23.2wUZ. 005020 50503 50505 50 505900005 0 0: 02% 10500550503 50500005 053 30:05 0500 05'05>E5> 00:03 50505 055.5 >505 mo 053505 05 50 .50 5005 505 $5505 05 0050005 00.05000 .5 003 505 0505 5 5050500 050 50503500 5050005 50505 0 .0055 05 >53 A >05 08 0555 050550530 05 50 00>05 05 00505 :00 05 00w< 0500 05 m555 05055 5 500: 50555 0003 550 N550% 55 500 500050 05 00500 50050 >05 E>wm 505050 50.5 505000 5550505 050005 >05 0055500 05 00>0 5030.00 0050050 00503 00 55 .55 003 500000, 05 0055 -050005 50000505 05 0:5l0500 305 50000005 05 00.5 0505 003 00503050 0: 505550 .055 5500 w550500 0050250 500,05 05 550 .50505 05 5 0505 5050 0 .50 50 05005 5503 50000.» 0 5 00503 .505 00: 50005 50 0050 505.0005 005 20051 535m: 050050 00502; 5505505 05 .0>05 >530? :0 00 .0555 5 .5595 50 503 >50> 0503 5.5555 >05 00005 05 >00 05 .550 5050505 5.05 0003 505 50 0.005 00V 5500 05 500: 50505000 500055005 05 05 505 >05 ”0505 05% 50 00M050>50055 0050 05 0503 0005.5. H.000> 05 08 055 550 5050005 005 m55=0000 55050550 50555000 000.305 0005 50 50505 0505000 >505 00% 5050055505 50505 < .mUm 83 5050 50000030 5055500 05 5050005055 305050 50 550000, 505355 5< .555 0523503 5 05505 w5555050>w .500 0 50 5050 >505w50 55 95055505 505501— 3 055002 0.0505006 50 50 0555050an 50 5 05 0505050 0 (50 59.505 05 505 >05 50 055 50505500 025 03005 mUm 00mm 5050 005m 50500.5 50553 305050 0 5000 55.003 505 55500 500550.». 0 .20Sosm 05 003 fi00>08 055 05505500 005 00550500 505 5055050 00 >05 .50 055 0505500 05 .5020 00y 00305 9500005055 5005 055. 5500505 505055 00 05500000505 mo >005000 5555 0053005 5 053 H 5053 :0 5055500 05 .055 055 0555 H 00 .moom 05: 50 50.5 05 50 .50 ENS 5 >05 50005 05 50 50550 025 03 .00 55< 50035055 0003 00000 0555 5050505005 505 550 50502.5 003 =055 550505.~ 5055 5050a 05 003 055. .0505. 50500 05550500 550 50500050: 055505 505050050 50055050500 505 505000 05 505005 0003 550000 0 50 0505005 550 .0550000 00555 50 50.5 0.50005 nw55m00x055 0505000 0505 5050 50535005 0&055 5550955005 50>00 5 0055050 5055300 05550500 05% .505 5050350 50 505 50 55:5 05 055 05 305 05 55505 003 5 .5050 5000 5005 550 5025 05 05000 55550 .05 00005500 550 05000 0905 050005 >50555 5055 .550 00505 .000 50 52.500 0 mo 50 >555 550:» 50 5055500 050 500.03 05 How .0505 B05 0 .50 050.5055 05.5 ¢m w ,, hm PZmEmn—(Umm mOIOZ< XUOAU 2341.0an .www 53 w? mm 4539, .E 5505 v5 («0 $5305 “5me ER wwflmua mo mmdwuwa muowwzz mam wmwamths @533 mEmEafiqu xuoflu $>o mucoESmu< xzmuswaufimfi 3251528 or: @3th 0:3 28 05 mag hvmfisnuvn: ~8ng Him .35? yo: ii dm ocow w>m£ >3: w: 49% E .32 wumsvm $52: Econflgmum ME Buyouflv gm: 8 wEEMmU >9 $3 mbotSwZ so wot em .moimuomEBr—ou ESE 5:.» 35¢me 35 SE Emacs mvgmtm £5 95 .wvumw .532: “E wfifibgu “was“? vvumfiwio us “m5 “5&me us Ewamcstomnb .wEwm Haw Lwfizu NEE: E mnoflsflbnou 23?: was fiBGEB Cg bvossoducs mm? 3302 .m m: ramuou .5235 $53 #258 wt; doflmmt: wcm mflsmmzu biota 9:23qu we owm an E $1.635 .: Evin 8 “Eu 2: mg, 953:: £05235 3x $5 How mEmEmflu ESE Bug ESE; .963 bfifiwumu $83 in Comer? gm: w 4» magma whmsomxsm we $325 SEES 5:5th .Amuwafi ”mtmucm ”mqucflimv EwEwmmUmw 855 2t 39:: Eu 8303 $5 63303 :26 .wEwmmom 2 : .Aoo .m 83 xoa m mama cm? 930: .bzmrEEou WE Hon: $53838: B mqowsfibcnb mE Mom wmsmw§3 5E 83%me msoEoEEum van wmofi m 88 SE v.2 EEU mFE. 085 :m @823 .3 2:3 8 man”? 8303 tun—om £9905 #5:.“QOqu Sauna wfi @352: hammom wI .mwsfiwg fiuEmsqu E 35qu En: wow: 5383mm wuflmm «Em $93, 0353 wfi BEE/E mm Amuflumum flaw 13385 Son .wsaowxwfifi E mmusmzum 38$sz 538 £32: mumwxsi 5% “mm mwsouwm 0H 8. 533% E @3038; $60? Sufi m mawfif 4583?: m3“ 263% o“ 383 2% E “mum wfi 89$ cam kg 5m 8355 m SEE B 323% 893 mxuofiu 32:1 gave“ 9:33 3320 18“on 836$ .33 E 9“quwa HBmoU noEofimm 3 :wwm .wv m3 8:15 wEB mxuofiu gusm «.Awo d :o xen— wumv 25933 Cmmbmvfiu Ewe: -JBBQ SEES 2: B swam gasoflsgus fl koquwEfi cw>iv-fiw6>> m 83¢ -05 B Ewfiwmmug Gm 5E 83stme m mEEEEB >=~¢mmmuu3m 6:338 £5 mo noncgfi 2% How 555 .386 m SE Eggnog ufi mswmmwamz mo 3m -HEwmmom m5”. meEwouwH 8:30 3:8th 9.8V v30? Efiswcmfi m ESQ owanu .E> new 2: fig 03sz “an: wEmmwom mm : Judofiz .szm Em; 0:3qu wfikm wfi mo fiwnfl 05 5&3 «65 5:328 3 2 vugmwmmm 8335mm m3“ mole“. .5 BBQEOU use Homwar wfilvoflwm 2: “m5 ~mean m3 ymEmwm wcfiuwfiu 3 fiwuo: mm .Emfiu use“ m Soc wquEm ASE m £962me 35 E 63330 HwEmU 02sz mo Maw: 05 E 30me 18:65 was?» a m u Nw m _. o z 3 O m < 3380 5:332um .mmoSm,bB:uu.£:wwE€ E 8on 5&3:qu Ewfiummumm am 3 EH? -mwu v32.» EZMVEwEB m we 33 0%. t5 £03338 ucwcfluw “BE 2: E to §D_ZwUZ_ x09 ~3me mxuofiu fiuEwfiuoE .Ewanmumw Mosucm 05 £009 mEu mo @5335 wcmwsmnfluéiog 5.53 05 8 5w 95 6555 do H33 30 9:28 m3“ wwwfium mEmEmfiqu wnwgemmUmu 30: mo mmflww 2t Emfixw =3, _ .ATUEGSEE . nobuwuzu wso E mmfim E sonoE £83m $5 8ng 3:39 m . . $30 .= mm vwacfiu Son 2: 22: mm Ewfiommuww nmv BE wwbmuw .3338 m an @838 2 USE.“ ismxoigfio bmmkfids «23:03 73 33.83 Sfigrst 3333‘. guEumauQ Swat 2: 3 :3: ham 3 g EE§=8 Mi #3 E 8393929 3F 63.: 2t EEKnmauE £8? Mnsufixi 4+ .OE mm CHRISTIAAN HUYGENS (1629 —1695) Huygens and Hooke would not like to appear in the same box together. I must include them both in this book, however, though this means omitting others who made significant contributions to horology, such as George Graham. But our story here concerns pri- marily the pendulum clock and anchor escapement, to which these two made key contributions. Christiaan Huygens was born in The Hague, the son ofa well-known Dutch renaissance artist, and was educated at the University of Leiden. The second greatest mathematician, physicist, and astronomer of his age, after Newton, Huygens made major contributions that are still relevant today. His first major work, Horologium, described his pendulum clock. This followed from first principle mathematical calculations concerning the period ofa pendulum and how to eliminate circular error, which I discuss in the main text. Disputes with Hooke and others over the spring balance delayed his development of a sea clock. Huygens did not possess Harrison’s metallurgical knowledge necessary for this clock to keep accurate time—it varied with temperature. Despite much theoretical and experimental effort over many years, an effective sea clock eluded him. Huygens improved upon telescope design, and he discovered Titan, the largest of Saturn’s moons. He was elected to the Royal Society of London in 1663. Between them, Hooke, Halley, Huygens, and the mathematician/archi- tect Christopher Wren developed the inverse square law of gravitational at- traction. Huygens’s most important contribution to physics concerned the wave nature oflight. This was published as Treatise on Light in 1690; it conflicted with Newton’s view oflight, which Newton thought of as particles rather than waves. Geometrical optics, developed in later centuries, would side with Huy— gens, and indeed his views on light have been influential in theoretical physics research in the twentieth century. (From the perspective of modern quantum mechanics, both Huygens and Newton were right.) Huygens taught at the Uni- versity of Paris from 1681 until French intolerance of Protestants caused him to return to his native land. He died in The Hague in 1695. ROBERT HOOKE (1635 —1703) Perhaps the single greatest experimental scientist of the seventeenth century. Over a research career ex- ceeding 40 years, Robert Hooke made significant contributions to a wide variety of fields: physics, as- tronomy, chemistry, biology, geology, horology and ar- chitecture. There are no universally acknowledged pictures of Robert Hooke that have survived. One modern historian considers that the face shown here is that of Hooke. The son ofa clergyman, young Robert was educated by his father and then from age 13 he attended the prestigious Westminster School, where he shone in many subjects. His education continued at Oxford University as assistant to Robert Boyle, the physicist. Boyle helped Hooke to become Curator of Experi- ments at the Royal Society in London, from 1662. Four years later Hooke be- came ChiefSurveyor, and helped to rebuild London after the Great Fire. He later became Professor ofGeometry at Gresham College. Hooke’s name is associ- ated with many inventions: the law ofspring elasticity (familiar to every under- graduate physics student), the anchor escapement and watch spring in horol- ogy, the universal joint, the photographer’s iris diaphragm, and meteorological instruments such as the barometer and anemometer. He wrote Micrographia, which detailed his observations ofthe microscopic world, made with an excel- lent compound microscope of his own design. His badvtempered and lasting disagreements with contemporaries, in par~ ticular, Newton and Huygens, arose from his beliefthat his ideas had been pur- loined by others who took credit for them. Hooke did not or could not follow up his many intuitive ideas with detailed analyses, and this may have been the cause ofhis disputes. Sickly as a child, with a crooked, lean frame and unkempt hair Hooke was also plagued by ill health in later life. He died embittered and, like his archrival Newton, intestate. .333: 03:“ Lowers: .nsTXEGN stumoNEO 3.350050 :ESfiEQN 335% S 3:05“ is 2: 3 mm 8:33 0858 RP .323203 $52.89 ‘8 8303 cfimv—o 0:: 33:308.» 8:023 £080 32. «m: tusom 3 0322:: 2330 N _ $33023 0:80: a 0:: Eusmsoe: =§t§§mfia 230% :0 £3 0320 «00300050253 0309:: :fimsm bifiuiEnfiuE: x03 Ex «3 .NJV .oE §D_Zm02_ .owm «5:055 m gum: >00 E0005 5 .mmwtgfism 05 03 00050055 mm? : .E0munm mm m0mou0m oo 35 00355 05 0am @05sz 00 BE 50: 05:0 £050: vN 9:100 m MO 50330 05 30350035 .n. 08:02: 05 m?» 30:86 ~30 03:00 330$ .o .500 HEB bunmumEmmm 0:5 00: m000 £033 MO 5902 05 .8330c0m 553$ 003$ 0 08m .5365, 03qu m E wcfimfiumo 53:090m 00£m20m m £00300 #:0200083 30:08 0035008 m 00205 mE0E0nm0H 0320 833500 000.3 000383800 53> 0wnm£u 00: m000 fiwcfi E350S0m 05 :20 >55 0 :03 E 3:0CE000 E00335 E000bw0 505 m? .008 8:558 8350200 :0b0iw 05 ”tm mm 320:qu mNAmEmE x020 2gb 41‘ 03mm E 5505 03:35 05 mm :03 8320 100332 505 53:00 5:000 0:3 0% E 00003 $225000 0% mfimumfimtmb m0 02803 Emw0fi0 03F #:0500050 00:05 05 8 0:0 mm 0 >035 :5 “3020 m 9 0030053 0m— 0300 x :20 w500m mm? tam 00>0U 05'00300 095:0 £056 3 5330:0m 0c: 8 >0qu 0:0 2 fioflmbfiuom £51 63300 m E0: #08 E08 .030me 003::me we H0000 E0: 09H .30 $200333 8 m: wEwEE £093 -n0u («0 2960 m £00“ #:05050me 0035me MO 00000 0x0: 003. .300» 0:8 .305 me 03:00 a x00“ 4308006580 003::me m0 H0000 0:0 xmmw 3355 30m m ‘00 53303 Sm B .bwswunm E 0m .5 50: cm m0 baguum um 50$ .00: .0& £5 9:30 000220080 53500 00020 E #:0803580 0E 30: 0002 .E0E0Qm0m0 82020 000200 b0m£u 05 mo mfimfimfi 50008 025 0:0 3» 0‘39““ 5 .Né 05»: E 0.30% £ .E0E0mm0m0 8:05. Sm £05 £020 a #03 mo 013308 n< .330? SficbskEm mm E53300; Esosx H00: .3320 :58 00 3393 00:8 00m 0m 0am m0x0£ 3&0? AEEBOCOQ 00: 0000085002“ 2 90005 NV :8 E 00003 0003 0? 050500 How 0005:: 0003 $5 $303 05 m0 $02 .0000me $005000 mo 02005 30: 0000a 05 3395003 nonmmcym .800 SEEKEB PEmSSU 00:02 00035320 Ewsfiufim 090 0002038 320063 m doflhmm :JE 53.030003 0:0 wan: 000.003 .088: m: 0:030 0000 E080mm0m0 .5005 0:0 mo 35:: («0 0:3 Emu? m .E0E0mm0m0 33 .0000 05 wnfln0>fi >2 0mm ~003§0QE0H 50$ fiwcfi 0wsm£0 “on 000 005 52 .30:[email protected] m 90350055 3 £5 00>0Eum 02 R500 000 0:000m 0G0 00 330? SE -5020m MO 53503 05 00.5095 80:30 09000 H003 0:00» bin 0.K3 E :00c5 E 0:0E0mm0m0 8:23 505 0320 8350000 5E 05 Esa— E0966 23:03 53300 0 .80“ 33000: 00005800 £0005 £00020 0mm0wn£ amzw .:m we 0mm 05 E 005%: Eflmm $5 000 H00Em800m 2503?? 00053800 0080: 0:00:00? fl: 3 00u=u0m 0003 m3»: :000300E 0H0 .03:me 9:3 00-. mop P2w§ma<Umm mOIUZ< XUOJU SDJDDZNQ .wchwuvaEHH 333% 5?» $3258 NHHBNEHHE 8 E x 85m Him 3.83 EH“ 9. ouzmtom .EH “H85 Ho 33 nonmfinmo vHVBchoH Ho U053 2H“ 8ch 6:3 wHuBHwnouH awash: Humbug m 303:? EwEAHoHEaHV vHuoHu Ho bonE BHH 33H Ho: .28 H .fiwsofi 6mg m5“ mnon 39H wEvHS whomwm .meEnHngmHu 333 8 EU .36 mm? 8.3% $5 8.5m .HH medewvu 35 EwEwnHmuWu “0328 no: no .3165 La E .28 .vHuoHu :3stme 2: so mecmuaou Hm? H @855 .9309 Hmhram 8:63 359$ 3655 :m nuswlmeEnHnguHu wmmfi HHm Ho wsiumfiwcw Him muHmEHnH of smsefi 39H SHE B HUGBE “bow H .HmerBma HmvHuom HwHHmEm $50 2 H53 mvHuoHu €339an Begum 208 H26 S wszme mwucgwm HmuHmoHon emcee: m3“ 8% Eu: EESHHEuN atmmoHEO 3:35? :GTSEuN 855m 8 mgsuefi. .EE:§& :0:wa SH“ 302 .5328 :Eufigz “Er? fiat REE: «Hakim HEYmH < .wé 6E §D_ZwUZ_ -53 Ho :ononxw Sm mag Sufi 33:8 finwfisgom 2: Ho £235 3: 88H 35 ES 59MB ”Hui m mm: $280: $5 8m :8 59H 53% H23 mEH ESE .meu HRH mHESwwHHHHE Bum m 9 Esov mmB BS 5un manHouvaED has“ 8% 533 E .33 “Scam 3:: $5338 wanHmwvaEu 25:52.. 52: wfi qumEB mvHuoHu. Ssfififiwm 353qu .9850 ES 35:5:me wmwfi smzofii. .EBSEH HF: 3333 we: mfiuufiufium 23 SE ESEEVHBHU 23E5< ofilEESMSH Kc «unasfiumfimkflu\ 3 $33: «no? 59 83:: «U .3 :33 use Lang. 23: 3 33:: £29 < El 530? :93 «H83 asufimmaum» 23:90 5%: .38? 238$: 533$ .m.v .0; «0—. mop FZmEmm<Umm mOIUZ< MUOJU 3.31.30me .wnefleufim E 5% up “e: 53 E wanna «w mnummwfi ES 2 .emmzew “flew m 822598 uemfiam 955$ 05 we mega :mEm m fine 85 $.me 383m =me E51 .Bevasm :25 b? m 3:0 Emma E u£_wEm 53E em E :er 2: 338m .Etme use. 8 Emacsm be $303 :85 e5 emmzue 5E8 m E .8328 5:8 He: «Em .55: Mom Eco vie? EB vefieE EE amazon 2: wow eu wee: Evian—e fies emSweom .NH . .EQEE fiEEonebmm wErEu 3 vaszfl wEEEHBev we vogueE 2% >6ch .mxwuuv fiEm .mmU 2% mm :25 ma .wnfluflwfimfimg LE< mam mHmEesobmm awerEm FREEBE .: .wioulwmbuzmawfi 025 How can “SHIRE“ E meEE 3 we note Egon .Eou < .m: 3% Echo e5 em can KEmEBE EeEu e25 E8362 Espafiwfi mfi so quemew wqumaeE we BmEnmw B? .szm we “msfilemmmee B eEEzm Eem 1::qu 0E: e5 wEEmme E Hebe efilbfldeemE EeeU 2F .mEeeEe veew 333 we SSE 38 «St 93 .mEueU 9,3 meEEuuH @052: EE “m5 802 {me 595 cow .8 .283 or: 958 wuufiEv game Eneefiwme use E m HE 385 E5 ”Ede: vm ESE weQe ESE 32w 2.: SEE .330: Q? E menehmtmme 2E. .mEoE m 3:098 EmEeHE Gm mfiem .8 HeEmmeu 3F .emEUe ES Emma :8253 £50: £198 EEBE Em EH38 EEEmmEI ES 5% m: $4 .35: @8928 353.32; 3.3 u: vim .EEEE B EEES “2&2”: 3F .AmseE/x vEEen— mEeE Q? Sea—m E 3285mm: £5:ch so mwnemew Gemssm 3%me 25$ 2: Hm 580 He: meow Emma Em 2.503 Ewe: Mom ESE: Shaw 2.: E @580 E ES 5328 we: 08 EU muwfiem be Son 55 E “Eon EH .9580 0328 29% EE $5 “$55 E: euEm o8: Br 3332: m «m Heumwwyms 2E; .38me e5 E85 5E :88 33 “m5 Emma eeEm Ammgmmmfiu m 03 £595 2: 2E: mi meEmmeE < E BEUEEEI .vaUe 3:3 m EmBm >231 .AmceEeEmm xmmv m 8 3waqu EBmmEeu m ES, 9% m “new mm: 93 Amnwfi< xmmv < um E 338333 eEmeH :deEEem mme 3955 Hum bfinuu wseemm 2: E grew Henmemomfim e. m u m u < .m 3 I Um E a _ I 35:33.. 3.2830 Ease 5:08:33 2: E E3 UeBezem mwfimiofiwz wail Umm Sign .wmmH 3 £QO mo EH @225 mo .35 mag 9.me 9.5. .EEn—ea «EEMQE 05 2:8 9. E898 eEEHmE E veuete 3E5 Emunmwmnsm me HEE waefl m me one En— mmB EEH 463:8sz we amok, eEEwEE eon £29: “we? 05 8 0mm»? 8w m sea: EEBE $3 553 “we: 3 8 was Hebe “EH uoH Le 08me H Hem 80.on cam mete memev EN Hem 08.2% .eeuwev ~> E2: 32 3 wEbe uumEnme 035%an m Hem Rave“ EEEE mm $58 08de ”883:8 §D_ZmUZ_ .Evfiea Eustmsfl eSCe 03:“qu wusmEv ER Commaceu 8 uE wcw .mzeswEEm mmB : .333 5.62 wfi E v52 emoswdtem e5. cEcmmm mEumemom 25 m @6me S wwwmfiotm #6: E mmeoEoP we bmeb 2:. .3 533% wEE: S w>Emsum fiwEEsvxw oEm 8w kmEmcew 22:3 93 .mmv .mEmmmE ER mEceEmem isz we mudEaieB EevoE 2: £3sz2: E33 2: 8 be 08. meme 00m; .30 8:32 Uwuflm .eEmee pew .33 we mmE umwswstom < .a dwEeB 183 m An— mkmwzm Es :e mmEH 05 How U33 £2: £3 En— m>=m Beam 2 wflwwsbm E mm: 35va E32 .EEEE 3F .55 ram drum: NEE .mEE Emum .w Leg :0 wEvseQEe :eEEEHme eEEmQE Hem MEE 2% “em 3% EV U< £5:qu 2F donEem boueflmnmm m EySeum 3:8 0E3 5023 Sr 8 veuwbe Ems eER emHE < .EmEeE 2% 8E E02 8 uwfimmneq we Emem m a: Em mam t< evE E93405 comma EuEEtmm EEEeE EEEE Emem 2% Sum mum?» 53m . .quuE E25 E EeEEEE 8 $2958“ 05 mane» cow; EmmE aw new En— UEEmmem Ems :enEem m “was wcm 98305 m «:3 55 333 Whammy E 38296 .mneumwtm: .mueEHmE 2.3% [email protected] EEfiem—v mwflmfiusoa wEQme mmEmEm :8qu wzeumuome: bmmb we muetmE 5:995 E EmfiomEE E95 eEm : .Em< 53> van .wEmew How “283 sz m5 E meeEee 953396 3293 06. EEB wwmbmo mnemmwu Hem BEBE—WE 803on EEH adwfimwnefi 9:5me 8 EBA—NE E25 3 83me mag NAMES .wetmu .mueHoExw EmemeEm 231 .EueEmEm we Hqumv 2t we 3333 HE He: cam £33528 Be? 6mm Efime Cowmwgm: Hem mounesvewceu 2E. .uEem muse -3me vexm EmeZHeu m meFeHm NEHEOA 2 «:29va EEEmneE 2% E “St ham 0: E 82:; .Emm we BEBE “subway m E oEEwueE .EHEem wsm :eNEe: e5 «802:3 Emma 2w mEEmmmE 3 335.52 E: $338 :8 .mEHEEEE 555:0 Ewfime Be 93 580 demo E ueEHmE m em ER Eem 5‘8: Ee Ego 368.6 53E 33E E AEHEOn: Em Eem 2:1 .fiEvuam weEm EBB m5 mmebm mEmEHmE 3 85qu 582 EE ES >93 buEEeH E 063.52 wqflsmmez .mwm Hm :eEmom eEEHBvU b33303. ow weEeE on mug Befi new: $583 dewmmgm: Somme eezwswem .see m E?» wEm ficE mE we “mum ME we: Ems HfimmEv Efi wag: ooo.~ FEE: .flmm Ede 32 m5 firs fic...
View Full Document

{[ snackBarMessage ]}