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## Henry Bushby Transcription pages

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87

(=2n-r, where nr is remainder). This

2n-r=4. Next exclusions are 4,~~10~~, 16, [28 &c). But 16 from 20 = 4

& 2n-4=12-4=8. Next exclusions

are 8, 20 Now 20=2B, & that ends

it. Therefore total exclusions are

12, 4, 16, 8 or 4, 8, 12, 16.

This is correct.

Therefore the Rule of Rings may

be stated thus: Where z=1, an odd

no must not be addes to an even no,

nor an even no to an odd; where z

exceeds 1, if B is divisible by n, then

2n, 4n, 6n &c. up to 2B are excluded;

where B is indivisible by n, then (1)

2n, 4n, 6n &c up to 2B are excluded

& the ~~remainder ~~ __r__*difference, d,*.

of these nos is next below 2B

from 2n, & this no. +2n, 4n &c. are

excluded & so on till a number is reached

which equals 2B.