Harriot, Thomas - Mss. 6787

Harriot, Thomas, Mss. 6787

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[Commentary:

Here Harriot creates further Pythagorean triples, not necessarily all integers.
In the first few lines, for example, he multiplies 21 by

\frac{5}{4}

\frac{3}{4}

, and

\frac{4}{4}

to obtain (

\frac{105}{4}

\frac{63}{4}

\frac{84}{4}

) or (

26 \frac{1}{4}

15 \frac{3}{4}

21

). ]