8342
[Commentary:
Further work on spherical ]
(17.
sex casuum ton syntomon
duæ selectæ
[Translation: Six cases of Syntomon;
two chosen ]
sex casuum ton syntomon
duæ selectæ
[Translation: Six cases of Syntomon;
two chosen ]
Exempla analogiarum, accommodata
[Translation: Examples of ratios, accommodated to ]
[Translation: Examples of ratios, accommodated to ]
sex sunt diversæ analogiæ sub speciebus arcuum
cum tamen duæ solummodo sub numerus sinuum.
Unde manifestum quod 1us et 2us ton syntomon possunt
satis ad operationes. reliquæ tamen ad argumentationes sunt
[Translation: There are six different ratios for types of arc, but with only two for sines in numbers.
From which it is clear that the 1st and 2nd cases may be enough for working; nevertheless, the others are useful for arguments.
cum tamen duæ solummodo sub numerus sinuum.
Unde manifestum quod 1us et 2us ton syntomon possunt
satis ad operationes. reliquæ tamen ad argumentationes sunt
[Translation: There are six different ratios for types of arc, but with only two for sines in numbers.
From which it is clear that the 1st and 2nd cases may be enough for working; nevertheless, the others are useful for arguments.
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