PAL

Ptolemaeus Arabus et Latinus

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Ptolemy, Almagesti (tr. Sicily c. 1150)

Vatican, BAV, Vat. lat. 2056 · 19r

Facsimile

S⟨upraposita auctoris demonstracio locum non habet, nisi arcus IT sit minor tetartimorio.⟩ Potest autem esse equalis et maior. Nichil⟨ominus tamen noti erit anguli septentrionales orientales qui sunt ante⟩ meridiem. Sit primo IT equalis tetartimorio. Dico quoniam qui sub AIT x⟨c graduum est. Constat itaque IT maiorem esse quam IE, eo quod totum AE⟩ sit tetartimorion, ergo polo quidem I et spatio IT tetragoni latere scribatur maximi circuli po⟨rcio TK. Quoniam ergo circulus AIEK⟩ transit per polos TE et TK utraque TE et TK tetartimorion, fit igitur angulus KIT x x] xc V2F1 graduum est et reliquus AIT similiter xc.

Sit item periferia IT maior tetartimorio et sit superhabundatia TL et polo I spatioque IL tetragoni latere scribatur maximi circuli portio LEIK. Quare quoniam AIEK circulus per eius qui est EM et KM polo scriptus est utraque EM et KM periferia tetartimorion fit, erit ergo proportio eius que sub dupla periferie IE ad eam que sub dupla periferie EK composita ex proportione eius que sub dupla periferie IT ad eam que sub dupla periferie TL et proportione eius que sub dupla periferie LM ad eam que sub dupla periferie KM. Quoniam ergo periferie IE nota est et EK nota et utraque IT et TL nota et KM nota erit LM nota, protrahatur arcus IM, tetartimorion erit angulus KIM xc graduum et reliquus MLA xc graduum. Si ergo abstulerimus angulum MIL, iam nota xc remanet angulus AIT notus.

CANCRI
LIBRE
eius qui per Meroen hore xiii graduum xvi mintorum xxvii
hore
periferie
Anguli
orientales
Anguli
occidentales
hore
periferie
Anguli
orientales
Anguli
occidentales
Gradus
minuta
Auster
Boreas
Gradus
minuta
Auster
Auster
meridies
i
ii
vii
xv
xxix
xxvii
lv
iii
xc
xxv
ix
o
xvi
xv
cliiii
clix
xliiii
xlv
meridies
i
ii
xvi
xxvii
xxvii
xxvii
viii
l
cxiii
cliiii
clxxiii
li
liii
xvii
lxxii
liiii
xlix
xxv
iii
iiii
v
xlii
lvi
o
xlii
xxv
ii
i
clxxv
clxx
xxxviii
vii
xviii
cxxviii
xxx
ix
xxii
liii
xlii
iii
iiii
v
xlvii
lxi
lxxv
xx
xxii
xxxix
i
v
vii
xxiii
viii
ix
xlvi
xlii
xl
xix
xxxiiii
xxxiii
vi
vi xxx
lxxxiii
xc
xxvi
o
clxiiii
clxi
xli
lvii
xv
xviii
xix
iii
vi
xc
o
vii
xxiiii
xl
xviii
Leonis
Scorpii
Boreas
Boreas
Auster
Auster
meridies
i
ii
iiii
xiiii
xxviii
iii
xx
xlii
cii
xxvi
xv
xxx
iii
xxviii
clxviii
ix
lvii
xxxii
meridies
i
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xviii
xxxi
xl
vii
xlv
lii
cxi
cxxxix
clvii
o
o
lix
lxxxiii
lxiiii
o
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iii
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v
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xlvi
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xliii
xlix
xxxviii
x
v
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lv
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cxlix
clxxvi
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clxxvii
clxxiiii
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li
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Virginis
Sagittarii
Auster
Auster
Auster
Auster
meridies
i
ii
iiii
xv
xxix
xlvii
xx
xxviii
cx
o
viii
o
o
o
o
xlii
xxxiiii
o
o
o
meridies
l
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xxxv
xxxix
xlvii
lvii
xlvi
xv
cii
cxxv
cxliii
xxx
xii
v
lxxix
lxi
xlix
lii
iii
iiii
v
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lviii
lxxii
xl
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xxxvi
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viii
vi
xv
xxxix
liii
xxxii
xxxiii
xxxv
xlv
xxi
vii
iii
iiii
v
lvii
lxix
lxxxii
xxxiii
xxx
xviii
clvi
clxiiii
clxxi
iii
xlviii
xliii
xlviii
xl
xxxiii
lvii
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xvii
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vi xiiii
lxxxvi
xc
xli
o
v
xxx
xxxvii
ix
xxxvi
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li
v xxxv
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o
clxxiiii
li
ix