PAL

Ptolemaeus Arabus et Latinus

_ (the underscore) is the placeholder for exactly one character.
% (the percent sign) is the placeholder for no, one or more than one character.
%% (two percent signs) is the placeholder for no, one or more than one character, but not for blank space (so that a search ends at word boundaries).

At the beginning and at the end, these placeholders are superfluous.

Ptolemy, Almagesti (tr. Sicily c. 1150)

Vatican, BAV, Vat. lat. 2056 · 82v

Facsimile
VENERIS APOGUION TAURI GRADUS XVI X
Numeri communes
Prostafereses longitudinis
Differentia
prostafereseos
Differentia
ablativa
Prostaferum
anomalie
Differentia
appositus
Sexagesima
ablativa
G
G
G
M
G
M
G
M
G
M
G
M
M
S
vi
cccliiii
o
xiiii
o
i
o
i
ii
xxxi
o
ii
lix
x
xii
cccxlviii
o
xxvii
o
i
o
iii
v
i
o
iiii
lvii
lv
xviii
cccxlii
o
xliii
o
i
o
v
vii
xxxi
o
vi
lvi
xl
xxiiii
cccxxxvi
o
lvi
o
ii
o
vii
x
i
o
viii
lv
o
xxx
cccxxx
i
ix
ii
ix
xii
xxx
x
lii
lv
xxxv
cccxxiiii
i
xxi
ii
xi
xiiii
lviii
xii
xlix
xxxv
xlii
cccxviii
i
xxxiiii
o
iii
o
xiii
xvii
xxv
o
xiiii
xlv
l
xlviii
cccxii
i
xliii
iii
xv
xix
li
xvi
xlii
v
liiii
cccvi
i
liii
iii
xviii
xxii
xv
xviii
xxxvii
v
lx
ccc
ii
i
o
ii
o
xx
xxiiii
xxxviii
o
xx
xxxi
xl
lvi
ccxciiii
ii
viii
ii
xxii
xxvi
lvii
xxiii
xxvi
xv
lxxii
cclxxxviii
ii
xiiii
ii
xxiiii
xxix
xiiii
xxv
xx
xxv
lxxviii
cclxxxii
ii
xviii
o
i
o
xxvii
xxxi
xxvii
o
xxviii
xiiii
xxxv
lxxxiiii
cclxxvi
ii
xxi
i
xxix
xxxiii
xxxviii
xxx
viii
xx
xc
cclxx
ii
xxiii
i
xxxi
xxxv
xiiii
xxxiii
iiii
xl
xciii
cclxvii
ii
xxiii
o
o
o
xxxiii
xxxvi
xl
o
xxxvi
i
xxxi
xcvi
cclxiiii
ii
xxiii
i
xxxv
xxxvii
xliii
xxxviii
iiii
lii
xcix
cclxi
ii
xxii
i
xxxviii
xxxviii
xl
xl
vii
xxxix
cii
cclviii
ii
xxi
o
i
o
xl
xxxix
xxxv
o
xliii
x
xxxv
cv
cclv
ii
xx
i
xlii
xl
xxix
xlv
xiii
xxxii
cviii
cclii
ii
xviii
i
xlv
xli
xx
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xvi
xxviii
cxi
ccxlix
ii
xvi
o
i
o
xlvii
xlii
ix
o
l
xix
xxv
cxiiii
ccxlvi
ii
xiii
ii
xlix
xlii
liiii
lii
xxii
xxi
cxvii
ccxliii
ii
x
ii
lii
xliii
xxxv
lv
xxv
xviii
cxx
ccxl
ii
vi
o
ii
o
liiii
xliiii
xii
o
lviii
xxviii
xiiii
cxxiii
ccxxxvii
ii
ii
ii
lvii
xliiii
xlv
i
i
xxi
o
cxxvi
ccxxxiiii
i
lviii
ii
o
xlv
xiiii
i
iiii
xxxiii
xliiii
cxxix
ccxxxi
i
liiii
o
ii
o
iii
xlv
xxxvi
i
viii
xxxvi
xviii
cxxxii
ccxxviii
i
xlix
iii
vi
xlv
li
i
xi
xxxviii
l
cxxxv
ccxxv
i
xliiii
iii
x
xlv
lix
i
xiiii
xli
xi
cxxxviii
ccxxii
i
xxxix
o
iii
o
xiiii
xlv
lvii
i
xviii
xliii
xxxii
cxli
ccxix
i
xxxiiii
iii
xix
xlv
xlv
i
xxii
xlv
xlii
cxliiii
ccxvi
i
xxvii
ii
xxiiii
xlv
xx
i
xxvii
xlvii
li
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ccxiii
i
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o
ii
o
xxix
xliiii
xl
i
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xxxvii
cl
ccx
i
xiiii
ii
xxxiii
xliii
xxxix
i
xxxviii
li
xxiii
cliii
ccvii
i
vii
ii
xxxvii
xlii
xviii
i
xliii
lii
xlvi
clvi
cciiii
i
o
o
ii
o
xxxix
xl
xxviii
i
xlviii
liiii
viii
clix
cci
o
liii
ii
xli
xxxviii
vii
i
li
lv
xviii
clxii
cxcviii
o
xlvi
i
xlii
xxxv
vii
i
lii
lvi
xxviii
clxv
cxcv
o
xxxix
o
i
o
xxxviii
xxxi
xxiiii
i
l
lvii
xxviii
clxviii
cxcii
o
xxxii
i
xxxi
xxvi
xlvi
i
xliii
lviii
xxvi
clxxi
clxxxix
o
xxiiii
i
xix
xxi
xv
i
xxvii
lix
i
clxxiiii
clxxxvi
o
xvi
o
i
o
lviii
xiiii
xlvii
i
v
lix
xxxvi
clxxvii
clxxxiii
o
viii
o
i
o
xxxi
vii
xxxviii
o
xxxv
lix
lviii
clxxx
clxxx
o
o
o
o
o
o
o
o
o
o
lx
o