...directions, is given bv the formula ' : a = ' L ( ) , provided its amount is so small a fraction of 4 \r / unity that its diminution by eclipses, total or partial,...distributed through the same sphere of radius r, we havo \' uud therefore °' = -. With N-10", r = 3-09.10'" kilometres; and a / a. a it (the sun's radius)...

...sum to 4nr, the total apparent area of the sky viewed in all directions, is given by the formula*: provided its amount is so small a fraction of unity...distributed through the same sphere of radius r, we have -VY N (of) and therefore — = aa With JV-10*. r = 3-09. 10" kilometres; and a (the sun's radius) =...

...sum to 47r, the total apparent area of the sky viewed in all directions, is given by the formula*: provided its amount is so small a fraction of unity...total or partial, may be neglected. In this formula, ^is a number of globes of radius a uniformly distributed within a spherical surface of radius r. For...

...directions, is given by the formula ': a = _.(-), provided its amount is so small a fraction of unity tliat its diminution by eclipses, total or partial, may...For the same quantity of matter in N' globes of the game density, uniformly distributed through the same sphere of radius r, we have N'=fflV and therefore...

...apparent area of the sky viewed in all directions, is given by the formula * : 9"V" / _ \2 a= -T-(-)> provided its amount is so small a fraction of unity...same density, uniformly distributed through the same N' la \3 sphere of radius r, we have ^- = ( —, 1 and therefore -=-,. With N=109, r=3'09.1016 kilometres;...

...sum to 47r, the total apparent area of the sky viewed in all directions, is given by the formula*: provided its amount is so small a fraction of unity...total or partial, may be neglected. In this formula, Nis a number of globes of radius a uniformly distributed within a spherical surface of radius r. For...