Now, by No. 174,
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Since
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Therefore
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and
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In like manner we find
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180. If and are reciprocals, and
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and is any whole number,
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Therefore,
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If and are unequal, and other than zero, we may add
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181. If and are reciprocals, and
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and is a whole number,
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Therefore
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Unless we may add
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182. If we suppose any dyadic to vary, but with the limitation that all its values are homologous, we may obtain from the definitions of No. 171
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(1)
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(2)
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(3)
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(4)
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