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- IX.22Proposition IX.22If as many odd numbers as we please be added together, and their multitude be even, the whole will be even.
- IX.23Proposition IX.23If as many odd numbers as we please be added together, and their multitude be odd, the whole will also be odd.
- IX.25Proposition IX.25If from an even number an odd number be subtracted, the remainder will be odd.
- IX.27Proposition IX.27If from an odd number an even number be subtracted, the remainder will be odd.
- IX.29Proposition IX.29If an odd number by multiplying an odd number make some number, the product will be odd.
- IX.30Proposition IX.30If an odd number measure an even number, it will also measure the half of it.
- IX.31Proposition IX.31If an odd number be prime to any number, it will also be prime to the double of it.
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