3920
[Commentary:
This folio refers to page 44v of Michael Stifel's Arithmetica integra
(Stifel . The relevant passage from Stifel is as follows.
De inventione numerorum, qui peculiariter pertinent ad suas species extractionum.
Restat iam ut tradam modum inueniendi numeros, qui peculiariter pertinent ad quam libet speciem extractionum, quatenus perfecta habeatur & absoluta huius negotij consumatio. Tradam autem huius modi inuentionem, per tabulam sequentem, quae ut in infinitum extendatur cuipse facile uidebis, quam primum uideris rationem qua construitur. Sic autem constructam
[Translation: On finding numbers which pertain particularly to the extraction of roots.
It remains for me to teach how to find numbers, which pertain particularly to extracting any root, that this matter might be perfected and wholly completed. Moreover, I teach this method of finding numbers by the following table, which may be extended indefinitely as you can easily see, once you have seen how it is constructed. Thus moreover you see it ]
Stifel goes on to explain that the numbers in the second and subsequent columns are obtained as the sum of two entries from the preceding row.
Harriot's table is identical to Stifel's except that he has extended the rows further to the ]
De inventione numerorum, qui peculiariter pertinent ad suas species extractionum.
Restat iam ut tradam modum inueniendi numeros, qui peculiariter pertinent ad quam libet speciem extractionum, quatenus perfecta habeatur & absoluta huius negotij consumatio. Tradam autem huius modi inuentionem, per tabulam sequentem, quae ut in infinitum extendatur cuipse facile uidebis, quam primum uideris rationem qua construitur. Sic autem constructam
[Translation: On finding numbers which pertain particularly to the extraction of roots.
It remains for me to teach how to find numbers, which pertain particularly to extracting any root, that this matter might be perfected and wholly completed. Moreover, I teach this method of finding numbers by the following table, which may be extended indefinitely as you can easily see, once you have seen how it is constructed. Thus moreover you see it ]
Stifel goes on to explain that the numbers in the second and subsequent columns are obtained as the sum of two entries from the preceding row.
Harriot's table is identical to Stifel's except that he has extended the rows further to the ]
Stifelius pag. 44. b.
Numeri ad extractionem
[Translation: Stifel, page 44v
Numbers for the extraction of ]
Numeri ad extractionem
[Translation: Stifel, page 44v
Numbers for the extraction of ]