725363
[Translation: ]
[Translation: ]
[Commentary:
In this folio Harriot repeats statements that are to be found in Variorum responsorum, Chapter XVII
(Viète 1595d, Chapter .
Harriot's letters , , , M, m correspond to Viete's , , , , .
Harriot's final comments refer to the final sentence of Viete's penultimate paragraph (1646, 398):
Et ut differentia terminorum rationis ad terminorum rationis majorem, ita maxima ad compositam ex ombnibus plus cremento.
[Translation: As the difference in the terms of the ratio is to the greater term of the ratio, so is the the greatest term of the progression to the sum plus an increment.]
Harriot's letters , , , M, m correspond to Viete's , , , , .
Harriot's final comments refer to the final sentence of Viete's penultimate paragraph (1646, 398):
Et ut differentia terminorum rationis ad terminorum rationis majorem, ita maxima ad compositam ex ombnibus plus cremento.
[Translation: As the difference in the terms of the ratio is to the greater term of the ratio, so is the the greatest term of the progression to the sum plus an increment.]
3.) De progressione geometrica. (ut Vieta in var:
[Translation: On geometric progressions (as Viete in Variorum responsorum)
[Translation: On geometric progressions (as Viete in Variorum responsorum)
[Translation: ]
[Translation: ]
m. minor terminus
[Translation: Let m be the lesser terms of the ratio.
M. Maior terminus
[Translation: Let M be the greater terms of the ratio.
. maximus terminus
[Translation: Let be the greatest term of the progression.
. minimus terminus
[Translation: Let be the least term of the progression.
. omnes, id est summa
[Translation: is all, that is the sum of all.
[Translation: Let m be the lesser terms of the ratio.
M. Maior terminus
[Translation: Let M be the greater terms of the ratio.
. maximus terminus
[Translation: Let be the greatest term of the progression.
. minimus terminus
[Translation: Let be the least term of the progression.
. omnes, id est summa
[Translation: is all, that is the sum of all.
ita Vieta post δεδόμενα
in respons: pag.
[Translation: thus Viete after δεδόμενα Variorum Responsorum page 29.
in respons: pag.
[Translation: thus Viete after δεδόμενα Variorum Responsorum page 29.
apud Vieta dicitur
[Translation: in Viete this is said to be the ]
[Translation: in Viete this is said to be the ]