MathuraDef.

We mane area on 6211123) by sphil area,

&define the average whebreypatdvahd of a ft HP) f :

Aueraseea, # P) = at fast . ) d Are

Important : Rottb trnstm planes & nomes ntesaeway

& pcsnesphnd & Gassman nm area.

Coftsfomla: The length of a sphril come j is gin by

it . ( Averagepear } ,

( * fmtsatsf 8 with P)

¥ : The qntr mtsuts ldst) aypke IN the ogm in eatf 2 ports,

& bled its lyth is 2*.

= . The adef He at 455 mtsuts

¥p%#iay

and the nmlb btw 455 & ygqu

in 2 pub,& intents

anyand nbe ml is north f 45N or suthf 455

=in 0 ports .

so lgth = t.tt#....I.nMmsi=4fYf.Ya2dzd4=EfYn2dz=itlzIYr.=itE=rz*

of use .

the code b rds s in 1959 = toe,

so its length R 2 # Hat rz # ✓

Pofffoft_Fmk : We provethis G appoxitj or one 8 f ncsf greet aides

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so µ a a sfe are of bth 0 . Tf he pmthe fk who for this an

,th rthl invariance ipks it way

fr ayare of 4th o .

*€¥€ag it gttj at a pot o,

the gnat ads tfh The nots aby it Pghy i in sh .

diet through afeo sweeps at a line fade0

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Fat : The an f aline fade 0 B 4T ' ¥ = 40 she it any ¥ f the sphe .

Bt m tr this seat we he who & we he

Averagepears# of intends) = It §

@

{ toi tense' ' " the l "

} Mmsiatt . the fly tat . 4 a = ¥

& indeed length = it. ( Aye # fmtbeds ) .

Bt new if or one , approxwtd by my got ale ms,

the gn holds fresh m & both sides add,

so fefnbhlds

fr the entire appoxik . Passy to the kit as the them fr g rectitude one an the sphe . #

Fexhdilhmi The told awoke fa drdspae ones at last 2 't.

PI .

The tot idiahx crosses any got aide,

& mt do so at tot the shit is adnd are,

so

14h HI ? t . 2 ' 2T

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KB

.At At an mtg f tofts fmk in the plane?

Fistfall,he needto pause the spaefks in the pbe

,it the weird the sphetpnhxgretards .

The space f 1ms B also 2 dnil :

Hp, Ap Df: llpiOf BK He doesA × Hsnoty =p .

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p & 0 are courts, he will ntle arty spef Is yntgtj most dpdo .