PAL

Ptolemaeus Arabus et Latinus

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Paul of Gerresheim, Expositio practice tabule tabularum et propositionum Ptolomei pro compositione tabule sinuum et cordarum necessariarum

Brussels, BR, 1022-1047 · 197r

Facsimile

Arcus augmentati per dimidium gradum
Sinus seu corde mediate
Arcus augmentati per dimidium gradum
Sinus seu corde mediate
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Sinus recti arcum invenire: sinum propositum aut minorem propinquiorem in tabula quere et arcum illi correspondentem extra scribe et illum minorem sinum in tabula inventum a sinu proposito subtrahe et differentiam per 30 minuta multiplica et productum divide per differentiam que est inter sinum minorem in tabula repertum et sinum maiorem etiam in tabula scriptum et quod provenit adde arcui.

Cuiuslibet corde arcum invenire: cordam propositam media cuius medietatis quere arcum quem dupla.

Sinus versi arcum invenire: si sinus fuerit minor 60 ipsum de 60 minue et residui quere arcum quem de 90 gradibus minue. Sed si sinus fuerit plus quam 60 subtrahe ab eo 60 et residui quere arcum cui adde 90 gradus.