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1 Phy Qutu Mhi Tt P A Cdti f y t f th ti th tt wi v 5. Idti Pti 5. Tw-Pti yt Ciy Qutu Mhiy i t. t t dd * t t wh dd t. Ct ydg wh th t f th iti hd R wh R R t t. uti f f 5.. B d i Ditiguih ti & i tt d tivy D Iditiguih / Idti A Ov tht wig ti if w h th + ig if w h th ig
2 Phy Qutu Mhi Tt P i hf-itg i. i ½ d / 5/ ti t t ut id i ti-yti tt; if w iud th fd f i tht y ith u ig iig i ti d gtiv ig i th ti wvfuti gtiv ig iig i ti d itiv ig i th wv futi. B fu-itg i. i d d ti ut id i yti tt; if w iud th fd f i tht y ith u ig i iig i ti d u ig i th ti wvfuti gtiv ig i iig i ti d gtiv ig i th ti wv futi. Pti i th tt B d B-iti Cdt B with i itti th A A B i d Pui ui Pii wv f i thig d t gd A Cidig i ig ut th ti: i: B: tit A O i gt A B tit A O B i gt A
3 Phy Qutu Mhi Tt P 5.. hg tw ittig ti th tgth f thi itti dd u thi ti; th vg ti f th tw ti i tu dd whth thy i yti ti-yti iti ditiguih. Thu th ty f iti it thi itti. C : Ditiguih Pti D h wht I y thi du-t tti i w v gt th wvfuti d i th. * * * d d d d * * d d ig it ut C : Idti Pti D ig thi ut yu gt thig vy ii t th ditiguih ut with t t D Th i tht if th tw iditiguih ti i ti-yti ti tt thy futh t th if thy w ditiguih ut if thy i th yti ti tt th thy th if thy w ditiguih. Cvt d. R tht i-/ ti i th yti ti tt if thy i th tiyti i.. igt ti-igd i tt. i tht tw t hd y tw t wud td twd h th idgig th g tw th tw t. Yu y tht M gud thi wud th w-gy figuti i ig yti tht th hd wvfuti d t hv t g t i th idd th wvgth y d / th vity / th iti gy. 5. At Quittivy u th fwig wdg t udtd t. ti wvfuti f ydg
4 Phy Qutu Mhi Tt P. w gu tu fd i thy th d f idividu t th d f i f t. Th d f v- ti-yti u hg uti-t tt d. Tht ti-yti / yti ti tt vg hv th t t / futh f h th. Aitig tht th uu i ttiy d thig hgig iid f it th ittig t i th gy i f th t iti d tti gi: Ciy Qutu Mhiy ti t T. i t Th uti wi dd u th iti f th t w thi i... t.. Cid t vfuti yty hi tw t i th ti tt htid y qutu u if thi i i i th igt tt t i = g th ti tt d t hv difft gi it gtiy fv t i difft ti tt with tiyti iti u th th i ut i yti tit tt whih y th hg-f gut thy vg it futh t d thu thi utu ui i w. th d i whih gy dgt tt gt fid i fit i igd th tt uttig uyig th ti-igd tt f ud u. t-t Ptti fft Aid f dtiig th d i whih gy-dgt tt uid wht th viu / i fft f th t-t itti? th tiv f giv t t th tt tht th t utid it it d hv hiy yti ditiuti thy hv fft it; d t th tt tht th hiy-ytiy ditiutd iid it it th hid th quivt u f t. iti f th iti f th th t i ff. h ff. ut f th hidig du t th th t iid it it. Of u thi h th f f th ydg t iti with ft f ff th t -d iti f th gi d t -d iti f th wvfuti i iy th gi d wvfuti f hydg ut with ff vywh th ud t ut i th quti.
5 Phy Qutu Mhi Tt P 5.. iu I th f iu th tw ditit ti tt with th ti wvfuti diffig y y hvig it i. By th v gut th th -d it iti f f th t i iy i t th t -d ti with ff whih diff y ut fifth. th -Od Ait iu Gud tt uttig th t t th wt gy tt i = whih ditt == i < < wh / / / h / i iiy.6 9 th -d Ait iu itd tt A.6.6 Ad Gy gt ti / w tt gy if yti i iti i tit tt -hi th ti-yti i iti i igt tt th-hiu 5.. Th Pidi T td thi id f ig t id uti-t t. Nw th fit-d itu i t igi uidig t f ydg-i it h f whih ut t < < whih dd u t th ig t f t with giv. h th gy f t i giv v i ity 5
6 Phy Qutu Mhi Tt P ff. wh ff. i ughy th u f t tt f high tht uid i tht th u f uhidd t iig Oit Th u f thu f th d i whih hydg-i tt gt uid i t. ud fit u: u f th hg f gy-dgt tt gt uid with i igd fit d thu ti-yti tiy d futht t. ud d u: h itig t titut ut d yu hud w f Phy th wt-gy figuti f ut i ig igd tt with it gu tu igd fid fit d yu hud w f Phy gti itti w th ti ud fit u whih fw f t-t ti itti t d v ud d. ud thid u: A w i ti 6. it wt gy t hv i d it tiigd f th t tiv th t it it tht titut th ut t ig with; hwv i th iig t d itig t hv it ig igig th ut ti-igig th gu t. A t d t ddd t uid hvi t i id tht tw thig ditt hw t itt with h th: th u f gy-dgt tt tht uuid d th h f th it tht h ut th futht gy dtid y th Y f th gt uid tt difft t tht ii i th tw wy wi itt iiy. 5. id 5.. Th t G T th d f th tiv f t i thi id th th t d th t i th uu ut h th ut; th t td i th id ut th th tht it f t i ud hwv it wt withi th id i g ti i. y i i yi d y y wh h h d f h f th ti tt th tw i tt. 6
7 Phy Qutu Mhi Tt P 7 i gy Yu w t d ythig f thi ti i it dt with i Phy d I v it t tht. Th gut g i thi: If yu ut th i tt dig t i iti tt wh y Th dity f tt i - i th N tt y / y I th diu f h i -; tt with iti tht i withi tht h uid; utid tht h ty. Of u th vu f h f diu i. h ut ig t u gid f wd tt w y hv itiv t y th itiv tt f th h tt. / 6 / 6 N tt / 6 N / N if q t h f N t / N q Gud tt gy tt d tt tt 5 5 tt d d qn 5/ 5 Pu P tt i th diffti iit
8 Phy Qutu Mhi Tt P d P d tt d d / qn / 5/ / qn 5/ 5 / qn 5/ 5.. Bd tutu Th t it d i t w tht th v t y d ti th idi t f th t d wud i idi tti. ut t hw hw idiity d t d f wd tt Giffith t th it igi idi tti -D i f dt-tti tht w ud itf. N Tht th iti i idi ti tht th iity dity i idi whih i tu ti tht th wvfuti i idi t withi h. i T if y i w igi tht w hv ig f N t f gth th ig th wy ud wud ig yu t wh yu ttd d ig t th t wvfuti: i N N in it ut tht N i N f = + N f = + uig tw dt d dig th uu thig f iig udy diti: R - + i i R A B wh i i N N i i Th quit A B Budy diti R
9 Phy Qutu Mhi Tt P R R i N d d d d A B i i i A B A B N i i i A B i A B Ph i t f A/B d i t iit A/B: i N Giffith gu tht whi th ight hd id i ihty ud y +/- th ft hd id wud t thu thi quti tit th g f wd vu. Th d f wd vu d g f u-wd vu. ig t th thhd wh th quti = yu gu uti withut t uh tu: if = /. Thi d with th wvfuti iy ig iuid. 9
10 Phy Qutu Mhi Tt P. KB Aiti. Th Ci Rgi i Phig th wvfuti i th f A f > / Ad witig th hdig quti i th f fid i i A A A A A d A O A A A A i Au tht A /A << th th th t A i d / C wh. Buy-ttd ifiit-qu w Gu i i ut f C i C i C i C d / whih d / Budy Cditi. C C. Thu C i C i d / y tht Ad d / / d
11 Phy Qutu Mhi Tt P d / i i Nt tty. Tdt ti tht t th wd vu.. Tuig h > w ud u thugh th gut ut th th wd t th d tht > i hih d t C Uu wv-t-i tu: d / i A B i C C i Nw w u th KB h t fid i f th wvfuti withi th i. wv Giffith u it t giv iti f th tiu quti f tuig thugh i. i gut i tht w w th tii ffiit i C d / T A C Giffith ig th ft idd it wud u tu d fu ut th ti. T A d/ : TM d i
12 Phy Qutu Mhi Tt P I ig tuig iy th ti fid tw ti d tt it ughy i vtg / tti.. d d... / i thi i th t thi hw th ti dd th ti f ti d. /. Gw thy f Ah Dy Ai th tuig KB iti t fid th ti ft f tuig thugh uiv Cu tti: d gt futi dd tht g with it.
13 Phy Qutu Mhi Tt P 6. Ti-Iddt Ptuti Thy 6. N-dgt Ptuti Thy 6.. G uti If t Th... d... d Mutiyig thi ut d ig i t f w f... : d : d : d d t th 6.. it-od Thy t -d gy Cti. If w i-dut it with th w w hv O uig tht i iti th ft d uig ut tt th ight Nw w th fit t f ft d ight t ft with : whih t.
14 Phy Qutu Mhi Tt P : A t i -D id with vtg id i.. d tt. d... i i th gy f h tt t fit d ti i t -d vfuti Th utud wvfuti t i t w hud t th t - d ti i t f th wh Th witig th fit-d i Ad tig th i dut with Ad tht i i: ht th fit-d ti t th fit igvt if? th tw i dut
15 Phy Qutu Mhi Tt P 5... th u i Th t fit d i: O with th d tt i qu w i d... i i d f + dd; f + v. Th dd i d-od Thy t -d gy Cti. Th ft t t th id qu d But.. vig i w wit thi
16 Phy Qutu Mhi Tt P 6 6. Dgt Ptuti Thy 6.. Tw-d Dgy y th d hv gy wh ut t Ĥ. i iti f th whih h thi gy wi vv thy t i/ii w gy wh th tuti i tud t -d gy ti hih du t utitutig i d t iiy Nig th i dut Th tw gi ti hd ffiity ig ti ti vig th htiti quti f thi ti giv hih i vd y th qudti quti Ad th ud t t th ffiit i: tuig t thi ht th gi f th gd igvt f th tw dgt tt? d
17 Phy Qutu Mhi Tt P id d t. Put tgth t gt th tw gi Giffith Th If yu fid t tht ut with th tud d whih h ditit igvu th it igfuti th gd utig with th iti tht th t ig vu i tt i ti. Thi d u ig vy hdy wh w thiig ut ti f th ydg t. 6.. igh Od Dgy th wy w t u th f duy-dgt y gi; if w hv th tw tt with th gi ud th igi iti w v f th uti gd igvt d thi fit-d gy ti y vig th ti wh thi i iti ti i * 6. Th i tutu f ydg 6.. Th Rtiviti Kiti Cti T t T th tuti wud... d -dgt t -d Ptuti Thy wud giv u 7
18 Phy Qutu Mhi Tt P wh Thu ut = uti th wvfuti i t = th fit t vih vig Th ig iit ut u tti hih Ad tht -d 6.. Th Rtiviti Ptti Cti: i-oit Cuig Ctig th tti gy t t t ut f th t vig giv. A qutittiv/quittiv gut ut ig t th ituti f th tiv f itig f f gt th ight hyi t ut tig fw ft f i yd th f thi u. ut with thi w t whi d t thi ig vt gd with thi ig vu d. fidig th td ti f th gd igfuti:
19 Phy Qutu Mhi Tt P 9 A f i w y tht Th uig tht = ½ w gt th uiigy i f 6. Th fft A ut titut gti di d th gy itd with gti di igt with t gti fid i t t i it t B B B w hv tw ditit tuti t f th i hiti whih w v vd t T B &. w wt it i f th gi tht th ydg t hv. Th h i igg ig f gd igg ig f gd tg-id fft Nw if th fft i th tg f th tw th th yt t itd ig itd d th tt gu tu t itd ig vd i t gd ig vu. wv th i d it gu tu wi thi igt with th t gti fid d gd ig vu whih ii
20 Phy Qutu Mhi Tt P tht d ut t t vy w hv th gitud f th gu t hg ut t th ti th -i. th gd tt. t t t B B B Tht id w hud y g d thi th i-it ti i t f thi i t. y y th dit th gut i did f But w th d y t f th i d it gu tu t dfid; idd th f th yt t f itti th d w hv tw iddt f i d vu viuid y w d t y hv t d th itg t fid th tti vu f th d y t f th gu t thy gig t vg ut t y y hih ut v i th tg-fid iit O uig t wit thi itt t B
21 Phy Qutu Mhi Tt P Bth tiviti ti / fi-tutu ti tgth giv fi 6.. -id fft Nw if th t gti fid i quit w u yt i y itd th tt gu tu th gitud qutid y d diti qutid y ut i y tt. uth w d fud tht d utd with th i-it gy t d thugh t d i tt t th gd tt B t Rwitig th t i t f t f th gd tt Ad w ut th tti vu f / vg f ghiy If th gth d diti f t d th gth f d t d = + th w hv f i d vu viuid y O vg whtv t h tht diu t vg ut t vig y it ti i th diti. Tht i t y v wh Of u i t uh f vi = ½ ½ ½ + = ¾ B
22 Phy Qutu Mhi Tt P Th w hv it t t B B 6.. Itdit-id fft Ti f Dgt tuti Thy d tutig th ti uig. Th t th Ch-Gd t w th wvfuti ith i t f d i t f. w hv Th fi fi fi t hw wud uid th ti Giffith giv. ig t ut u f t wi giv th id f hw it w. 7 7 i t B wt t th tw tt i t f d th- ig vt. 7 7 h B B B B t t t t
23 Phy Qutu Mhi Tt P A f Bt Bt fi fi 7 7 B t Bt B t B t It it t th wvfuti i t f th i t i th it y t th gi: fi fi 5 6 wv thi w i f thig u fi fi Bt Tht th tht Giffith h i th 7 d th 7 ti f th ti. 7 A f th gi thy d gtt f th htiti quti ; hwv i th ti i dig f th fit fu tt it y t d th gi ight ff th dig. fi th t tw thi ud dw it th u ti d yu fid it htiti quti yid th tw gy ti. 6.5 yfi ittig f gud tt Th i f th qu tht u th t i th ydg uu i f duig gti fid with gygti ti g = 5.59 g f Giffith th tt B th gy itd with th t i ittig with th t i i B
24 Phy Qutu Mhi Tt P I th gud tt th t h i ut it th t i th iti wud g g g Nw i w fuig th gud tt w gt iit ut th i dut d th fit t vih vig ut g h 6 g Ad i th t d t th i ½ tht u t 6 g = 6 6 g g Nw thi i yt f tw i-/ ti ith th tw i igd i f th th tit tt givig = ; thi ti-igd givig =. igt tit igt tit g
25 Phy Qutu Mhi Tt P. PR d iti Pdy d R Piti: Rit iti Pdy d R d Bh it: tgd Pti i th i w i th t d it ut tgth did y th igt tt. I t f y i thugh w ft it : If yu u th i ti f th t th yu itty w th i ti f th it gd f hw f wy it i. P d R udd tht th i ti ut hv itd g Q.M. i it thy it di u it wdg f th yt t th fu ity f th yt.. B Th / Iquity f hidd-vi thi I th tt th dditi i f ifti tht tu h ut d t hw u i Q.M. Th th ut f i ut wud futi f thi vi. if yu wtd t w th t i ti g i tht wud dtid y th futi. Of u i th it i i th it th futi tht yid it itti ut Pdut f t d it i ut g th i i thy it thi dut ut wy yid P Pdut f t d it i ut g difft d d d Th h i th iity dity f thi vi t ht if thi hy. d h th iquity d d d d 5
26 Phy Qutu Mhi Tt P 6 Qutu Mhi Pditi y yu u th it ti g th i t th yu w th t ti g tht i i. But if yu u it ti g th i itd yu d gt with iity P with iity i P. P P i Nw if yu w itd t u th it t hv th it igt th ig f h t wud fid d yu d gt th dut w hv th vg dut. Thu Q.M. dit tht Qutu v. B hw d Qutu Mhi dit th ft d ight-hd id f B iquity hud td????? ifi C if d ĉ i 5 u f twd. Th th iquity wud i g! Ad it u qutu hi t B iquity. Ittti B fii with f th ittti hw thy hd B Iquity w thy hd th Mut P d gy wht f thi tgth / w f u tgth d w i th y f th hd.
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