PAL

Ptolemaeus Arabus et Latinus

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Ptolemy, Almagesti (tr. Sicily c. 1150)

Vatican, BAV, Vat. lat. 2056 · 5v

Facsimile

cente, tertie autem eius quod secundum unumquodque emimirion rectarum incrementi partem tricesimam, ut et unius sexagesime mediam habentes epybolam indifferentem ad sensum examinate et in in] om. V2 eis que infra dimidium partibus pertinentes invenire possimus quantitates. Facile vero intelligi quoniam per eadem et preiacentia theoremata, etsi in ambiguitate simus descriptive fallacie circa quedam adiacentium in canonio rectarum, facilem faciemus et inquisitionem et correctionem, sive ab ea que sub dupla inquisite, sive ab ea que datarum ad aliquas alias differentia, sive ab ea que relicta relicta] relicte V2 B in semicirculo periferie recta subtenditur. Et est canonii descriptio talis.

⟨I.11⟩ Canonium earum que in circulo rectarum

Perife
riarum
rectarum
sexagessimarum
perife
ria
rectarum
sexagessimarum
G
M
S
M
S
T
G
M
S
M
S
T
Dimid g
o
xxxi
xxv
i
ii
l
xxiii
xxiii
lv
xxvii
i
i
xxxiii
i
i
ii
l
i
ii
l
xxiii.ϛ
xxiiii
xxvi
xiii
i
i
xxx
i et d
i
xxxiiii
xv
i
ii
l
xxiiii
xxiiii
lvi
lviii
i
i
xxvi
ii
ii
v
xl
i
ii
l
xxiiii.ϛ
xxv
xxvii
xli
i
i
xxii
ii et d
ii
xxxvii
iiii
i
ii
xlviii
xxv
xxv
lviii
xxii
i
i
xix
iii
iii
viii
xxviii
i
ii
xlviii
xxv et d
xxvi
xxix
i
i
i
xv
iii et d
iii
xxxix
lii
i
ii
xlviii
xxvi
xxvi
lix
xxxviii
i
i
xi
iiii
iiii
xi
xvi
i
ii
xlvii
xxvi.ϛ
xxvii
xxx
xiiii
i
i
viii
iiii.ϛ
iiii
xlii
xl
i
ii
xlvii
xxvii
xxxviii
o
xlviii
i
i
xiiii
v
v
xiiii
iiii
i
ii
xlvi
xxvii.ϛ
xxxviii
xxxi
xx
i
i
o
v.ϛ
v
xlv
xxvii
i
ii
xlv
xxviii
xxix
i
l
i
o
lvi
vi
vi
xvi
xlix
i
ii
xliiii
xxviii.ϛ
xxix
xxxii
xviii
i
o
lii
vi.ϛ
vi
xlviii
xi
i
ii
xliii
xxix
xxx
ii
xliiii
i
o
xlviii
vii
vii
xix
xxxiii
i
ii
xlii
xxix.ϛ
xxx
xxxiii
viii
i
o
xliiii
vii.ϛ
vii
l
liiii
i
ii
xli
xxx
xxxi
iii
xxx
i
o
xl
viii
viii
xxii
xv
i
ii
xl
xxx.ϛ
xxxi
xxxiii
l
i
o
xxxv
viii.ϛ
viii
liii
xxv
i
ii
xxxix
xxxi
xxxii
iiii
viii
i
o
xxxi
ix
ix
liiii
li
i
ii
xxxviii
xxxi.ϛ
xxxii
xxxiiii
xxii
i
o
xxvii
ix.ϛ
ix
lvi
xiii
i
ii
xxxvii
xxxii
xxxiii
iiii
xxxv
i
o
xxii
x
x
xxvii
xxxii
i
ii
xxxv
xxxii.ϛ
xxxiii
xxxi
xlvi
i
o
xvii
x.ϛ
x
lviii
xlix
i
ii
xxxiii
xxxiii
xxxiiii
iiii
lv
i
o
xii
xi
xi
xxx
v
i
ii
xxxii
xxxiii.ϛ
xxxiiii
xxxv
i
i
o
viii
xi.ϛ
xii
i
xxi
i
ii
xxx
xxxiiii
xxxv
v
v
i
o
iii
xii
xii
xxxii
xxxvi
i
ii
xxviii
xxxiiii et d
xxxv
xxxv
vi
o
lix
lvii
xii.ϛ
xiii
iii
l
i
ii
xxvii
xxxv
xxxvi
v
v
o
lix
lii
xiii
xiii
xxxv
iiii
i
ii
xxv
xxxv.ϛ
xxxvi
xxxv
i
o
lix
xlviii
xiii.ϛ
xiiii
v
xvi
i
ii
xxiii
xxxvi
xxxvii
iiii
lv
o
lix
xliii
xiiii
xiiii
xxxvii
xxvii
i
ii
xxi
xxxvi.ϛ
xxxvii
xxxiiii
xlvii
o
lix
xxxviii
xiiii.ϛ
xv
viii
xxxviii
i
ii
xix
xxxvii
xxxviii
iiii
xxxvi
o
lix
xxxii
xv
xv
xxxix
xlvii
i
ii
xvii
xxxvii.ϛ
xxxviii
xxxiiii
xxii
o
lix
xxvii
xv.ϛ
xvi
x
lvi
i
ii
xv
xxxviii
xxxix
iiii
v
o
lix
xxii
xvi
xvi
xlii
iii
i
ii
xiii
xxxviii.ϛ
xl
xxxiii
xlvi
o
lix
xvi
xvi.ϛ
xvii
xiii
ix
i
ii
x
xxxix
xl
iii
xxv
o
lix
xi
xvii
xvii
xiii
ix
i
ii
vii
xxxix.ϛ
xl
xxxiiii
o
o
lix
v
xvii.ϛ
xviii
xv
xvii
i
ii
v
xl
xli
ii
xxxiii
o
lix
o
xviii
xviii
xlvi
xix
i
ii
ii
xl.ϛ
xli
xxxii
iii
o
lviii
liiii
xviii.ϛ
xix
xvii
xxi
i
ii
o
xli
xlii
i
xxx
o
lviii
xlviii
xix
xix
xlviii
xxi
i
i
lvii
xli.ϛ
xlii
xxx
liiii
o
lviii
xlii
xix.ϛ
xx
xix
xix
i
i
liiii
xlii
xliii
o
xv
o
lviii
xxxvi
xx
xx
l
xvi
i
i
li
xlii.ϛ
xliii
xxix
xxxiii
o
lviii
xxxi
xx.ϛ
xxi
xxi
xi
i
i
xlviii
xliii
xliii
lviii
xlix
o
lviii
xxv
xxi
xxi
lii
vi
i
i
xlv
xliii.ϛ
xliiii
xxviii
i
o
lviii
xviii
xxi.ϛ
xxii
xxii
xlviii
i
i
xlii
xliiii
xliiii
lvii
x
o
lviii
xii
xxii
xxii
liii
xlix
i
i
xxxix
xliiii.ϛ
xlv
xxvi
xvi
o
lviii
vi
xxii.ϛ
xxiii
xxi
xxxix
i
i
xxxvi
xlv
xlv
lv
xix
o
lviii
o