First Accounting Handbook

Luca Pacioli, the mathematician who instructed Leonardo da Vinci and for a time lived in the same house, hand-wrote a remarkable textbook, the Tractatus mathematicus ad discipulos perusinos, for his students at the University of Perugia, where Pacioli taught from 1477 to 1480.

This celebrated source-book of merchant arithmetic, preserved as Vat.lat.3129 at the Vatican Library, is seen as the start of the formal study of accounting. A color scan has just been presented online, replacing a murky black and white image on the library portal. It is among the most celebrated items to emerge from the digitization program in the past week. Below is the full list of 107 items:
  1. Barb.gr.283,
  2. Barb.lat.3867,
  3. Chig.L.IV.106.pt.A,
  4. Ott.lat.349,
  5. Ott.lat.3371,
  6. Vat.gr.1159,
  7. Vat.gr.1229,
  8. Vat.lat.2261,
  9. Vat.lat.2268,
  10. Vat.lat.2269,
  11. Vat.lat.2314, Summa Hostiensis with notable arbor juris diagrams:
  12. Vat.lat.2321,
  13. Vat.lat.2331,
  14. Vat.lat.2352,
  15. Vat.lat.2377,
  16. Vat.lat.2402,
  17. Vat.lat.2405,
  18. Vat.lat.2409,
  19. Vat.lat.2425,
  20. Vat.lat.2451,
  21. Vat.lat.2463 (Upgraded to HQ),
  22. Vat.lat.2480,
  23. Vat.lat.2674,
  24. Vat.lat.2682,
  25. Vat.lat.2684,
  26. Vat.lat.2702,
  27. Vat.lat.2745,
  28. Vat.lat.2830,
  29. Vat.lat.2840,
  30. Vat.lat.2848,
  31. Vat.lat.2849,
  32. Vat.lat.2857,
  33. Vat.lat.2895,
  34. Vat.lat.2902,
  35. Vat.lat.2945,
  36. Vat.lat.2990,
  37. Vat.lat.2995,
  38. Vat.lat.3028,
  39. Vat.lat.3048 (Upgraded to HQ),
  40. Vat.lat.3051,
  41. Vat.lat.3053,
  42. Vat.lat.3058 (Upgraded to HQ),
  43. Vat.lat.3059,
  44. Vat.lat.3062,
  45. Vat.lat.3067,
  46. Vat.lat.3068,
  47. Vat.lat.3069,
  48. Vat.lat.3070, See eTK
  49. Vat.lat.3076 (Upgraded to HQ),
  50. Vat.lat.3079,
  51. Vat.lat.3080,
  52. Vat.lat.3082 (Upgraded to HQ),
  53. Vat.lat.3084,
  54. Vat.lat.3086,
  55. Vat.lat.3088, See eTK
  56. Vat.lat.3089,
  57. Vat.lat.3095,
  58. Vat.lat.3099, See eTK
  59. Vat.lat.3101 (Upgraded to HQ), See eTK
  60. Vat.lat.3103, See eTK
  61. Vat.lat.3104,
  62. Vat.lat.3105,
  63. Vat.lat.3107, an almanac for Pope Paul II by Nicholas Germanus. See eTK. This was exhibited in the Rome Reborn show, and Anthony Grafton's catalog calls it an "uncommonly beautiful example of an almanac, computed for the years 1466 to 1484". Here is the partial solar eclipse on April 26, 1473 predicted and illustrated:
  64. Vat.lat.3109,
  65. Vat.lat.3111,
  66. Vat.lat.3112 (Upgraded to HQ),
  67. Vat.lat.3113,
  68. Vat.lat.3114,
  69. Vat.lat.3116,
  70. Vat.lat.3117,
  71. Vat.lat.3118 (Upgraded to HQ),
  72. Vat.lat.3119,
  73. Vat.lat.3121, See eTK
  74. Vat.lat.3122 (Upgraded to HQ),
  75. Vat.lat.3124 (Upgraded to HQ),
  76. Vat.lat.3126,
  77. Vat.lat.3127,
  78. Vat.lat.3129 (Upgraded to HQ), Luca Pacioli (above)
  79. Vat.lat.3130 (Upgraded to HQ),
  80. Vat.lat.3133,
  81. Vat.lat.3134 (Upgraded to HQ),
  82. Vat.lat.3135,
  83. Vat.lat.3137,
  84. Vat.lat.3141 (Upgraded to HQ),
  85. Vat.lat.3146,
  86. Vat.lat.3152,
  87. Vat.lat.3154,
  88. Vat.lat.3155,
  89. Vat.lat.3158,
  90. Vat.lat.3160,
  91. Vat.lat.3162,
  92. Vat.lat.3163,
  93. Vat.lat.3164,
  94. Vat.lat.3166, See eTK
  95. Vat.lat.3167,
  96. Vat.lat.3168 (Upgraded to HQ),
  97. Vat.lat.3172,
  98. Vat.lat.3177,
  99. Vat.lat.3178,
  100. Vat.lat.3179,
  101. Vat.lat.3182,
  102. Vat.lat.3209,
  103. Vat.lat.3211 (Upgraded to HQ),
  104. Vat.lat.3213 (Upgraded to HQ),
  105. Vat.lat.3240,
  106. Vat.lat.3769,
  107. Vat.lat.3839 (Upgraded to HQ),
This is Piggin's Unofficial List number 161. Thanks to @gundormr for harvesting. If you have corrections or additions, please use the comments box below. Follow me on Twitter (@JBPiggin) for news of more additions to DigiVatLib.


Early Physics

Basic ideas of modern physics go back well beyond Isaac Newton to the English scientist Richard Swineshead, who enters the scene in about 1340 as one of the Oxford Calculators. These brilliant men were interested in velocity, force and other values, and drew on mathematical work by Thomas Bradwardine (c.1300 – 26 August 1349), who went on to become Archbishop of Canterbury.

Younger scholars were hard pressed initially to make sense of their equations, and this week's batch of Vatican Library digitizations includes one codex, Vat.lat.3064, with traces of that student shock. I will let John E. Murdoch's Album of Science: Antiquity and the Middle Ages, Topic 256, (1984) take up the story:
Another tractate of Swineshead's Liber calculationum applied Bradwardine to a quite specific problem. Briefly put, the problem was whether a thin rod in free fall near the center of the universe will ever reach that center in the sense that the center of the rod will eventually coincide with the center of the universe. The problematic part of the question derived from the fact that as soon as any part of the rod passes the center of the universe, that part may be considered a resistance against the rod's continued motion.

Assuming that the rod acts as the sum of its parts and that the relevant forces and resistances determined by these parts follow Bradwardine's "law," Swineshead concludes that the center of the rod will never reach the center of the universe (which is correct, under the assumptions made, since the time intervals for each increment of distance will increase ad infinitum). The marginal sketch [...] accompanies this particular text of Swineshead in a fourteenth-century manuscript of his work. Possibly drawn by a reader trying to puzzle his way through this segment of the "Calculator," the rod (here termed terra simplex to indicate that it is a heavy body) is appropriately divided into parts, one of them depicted as already having passed the center of the universe, which is duly labeled centrum mundi.
The list of 71 new Vatican digitizations follows. This is the first issue of Piggin's Unofficial List (PUL) on the blog for three weeks, because the busy technical people on the Vatican digitization program have been busy with some other tasks in the meantime:

  1. Barb.or.109,
  2. Barb.or.151.pt.2, a printed world map in Chinese, with just a teensy bit of the northern tip of Australia, still contemplated at the time as part of the Great Southern Continent
  3. Borg.lat.677,
  4. Chig.L.IV.106.pt.B,
  5. Ott.lat.3369,
  6. Ott.lat.3370,
  7. Reg.lat.473,
  8. Reg.lat.1501 (Upgraded to HQ),
  9. Reg.lat.1716 (Upgraded to HQ),
  10. Vat.copt.61 (Upgraded to HQ),
  11. Vat.copt.68 (Upgraded to HQ),
  12. Vat.gr.1153,
  13. Vat.gr.1154,
  14. Vat.gr.1158,
  15. Vat.gr.1176,
  16. Vat.gr.2306.pt.A,
  17. Vat.lat.2028 (Upgraded to HQ), early-15th century cosmology, Laurenzo Bandini, initials and diagrams never completed. See eTK
  18. Vat.lat.2213,
  19. Vat.lat.2235,
  20. Vat.lat.2278,
  21. Vat.lat.2315,
  22. Vat.lat.2337,
  23. Vat.lat.2388 (Upgraded to HQ), 14th century copy of Albertus Magnus on physiology and medicine, also passages of Galen. See eTK
  24. Vat.lat.2406,
  25. Vat.lat.2511,
  26. Vat.lat.2735,
  27. Vat.lat.2772,
  28. Vat.lat.2774,
  29. Vat.lat.2821,
  30. Vat.lat.2879,
  31. Vat.lat.2947,
  32. Vat.lat.2950,
  33. Vat.lat.2981,
  34. Vat.lat.2989, Aristotle, De Anima, see eTK
  35. Vat.lat.2991 (Upgraded to HQ),
  36. Vat.lat.2992,
  37. Vat.lat.2996 (Upgraded to HQ),
  38. Vat.lat.2997 (Upgraded to HQ),
  39. Vat.lat.2999,
  40. Vat.lat.3000,
  41. Vat.lat.3001,
  42. Vat.lat.3002,
  43. Vat.lat.3003,
  44. Vat.lat.3005,
  45. Vat.lat.3019,
  46. Vat.lat.3025,
  47. Vat.lat.3027 (Upgraded to HQ), Nicolas Perotti's translation of Hippocrates and other medicine texts from Greek to English, see eTK
  48. Vat.lat.3031,
  49. Vat.lat.3037,
  50. Vat.lat.3038, logical and scientific texts by William Heytesbury, Richard Billingham and Petrus de Candia, see eTK
  51. Vat.lat.3041,
  52. Vat.lat.3042,
  53. Vat.lat.3046,
  54. Vat.lat.3050,
  55. Vat.lat.3052,
  56. Vat.lat.3056,
  57. Vat.lat.3060,
  58. Vat.lat.3061 (Upgraded to HQ),
  59. Vat.lat.3064, Swineshead, Liber calculationum, above.
  60. Vat.lat.3065 (Upgraded to HQ), Richard Billingham on logic, see eTK
  61. Vat.lat.3072 (Upgraded to HQ),
  62. Vat.lat.3075,
  63. Vat.lat.3081,
  64. Vat.lat.3093,
  65. Vat.lat.3094,
  66. Vat.lat.3115,
  67. Vat.lat.3181,
  68. Vat.lat.3229 (Upgraded to HQ), 15th-century Pomponius Leto work dealing with Cicero
  69. Vat.lat.3265,
  70. Vat.lat.3286, Juvenal, with copious glosses, elaborate initials (below), one of Lowe's examples of Beneventan script, marked in "Juvenale, in lettera Langebardo" on the flyleaf
  71. Vat.lat.3309 (Upgraded to HQ), Horace, with flyleaves from older manuscript
This is Piggin's Unofficial List number 160. Thanks to @gundormr for harvesting. If you have corrections or additions, please use the comments box below. Follow me on Twitter (@JBPiggin) for news of more additions to DigiVatLib.


This Oldest Map is a Beauty

The oldest surviving Latin diagram of the world was rediscovered by accident in the Vatican Library in the 1920s. Youssouf Kamal (1882-1965), an Egyptian prince and aesthete, had financed a huge undertaking to publish a collection of ancient maps depicting Africa fully or obliquely. While combing through the Vatican, the scholars stumbled on a lavish, full-page colored spread, folios 64v-65r in Vat.lat.6018, which had been completely overlooked in all previous historical research.

A few weeks ago I digitally plotted a simpler diagram of similar age which is now held by the archives of Albi, France and has been recognized as a UNESCO world heritage treasure. The Vatican Mappamundi was drawn in about 760 or 770 CE and has been a good deal more difficult to plot, since the photographic images compress the central part into the gutter of the book binding.

This is the first-ever color plot to be published. Zoom in and you will see that the diagram has south at the top and therefore Europe at bottom right. The scribe evidently turned the parchment as he worked and wrote place names from every side.

Six cities are represented by star-shaped symbols: Constantinople, Rome, Alexandria, Carthage, Jerusalem and Babylon. The big island at left is Sri Lanka and at lower right are the British Isles. The meaning of the "fourth continent" at top right has been much debated. The crescenty things on the rim are thought to represent sun and moon.

The current received wisdom is that this is a Christian adaptation of a diagram which had been used to teach (secular) geographical knowledge in late antique schools in the Latin West. The Vatican Mappamundi is probably contemporary with the original of the 12th-century Tabula Peutingeriana, a Latin diagram in roll form which shows the whole known world as a very long strip. My view is that abstract diagrams (of which both are fine examples) are an invention of late antiquity, not earlier.

For this digital plot I used the Vatican Library's scans, uncurling the center part with the lattice deformation tool in Inkscape. The transcriptions are mostly Francois Glorie's, while a black and white engraving by Menéndez Pidal helped decode some of the ambiguities. The color adaptation is my own. The SVG file will soon appear in my Library of Latin Diagrams where you will be able to read it with a tablet computer and rotate it to your heart's content.

Now, back to the discoverer. Prince Youssouf belonged to a dynasty of Albanian origin who ruled Egypt until the army-led revolution of 1952. Through polygamy it was a large family and Youssouf held back from the jostling for leadership, instead founding seats of learning and cultivating the arts. Such was his wealth that he built three palaces and financed culture.

He seems to have been interested in two major topics: the depiction of North Africa in ancient cartography and the contributions of Islamic learning to cartography. That is why he financed the Monumenta cartographica Africae et Aegypti, a catalogue of facsimile images of manuscript maps.

He is listed as author, but the research and compilation was done by Frederik Caspar Wieder (1874-1943) of the Netherlands. Only 100 copies of the 16-part series published in Cairo between 1926 and 1951 were ever printed, with a few sold to collectors and most given away to libraries and institutions. It was never digitized, meaning it is a very hard-to-access resource.

Chekin, L. S. (1999). Easter tables and the Pseudo-Isidorean Vatican map. Imago Mundi, 51(1), 13–23. DOI 10.1080/03085699908592900.
Edson, E. (1998). Mapping Time and Space: How Medieval Mapmakers Viewed Their World. London: British Library.
Englisch, B. (2002). Ordo Orbis Terrae: Die Weltsicht in den Mappae mundi des frühen und hohen Mittelalters. Akademie Verlag.
Glorie, F. (1965). Mappa Mvndi (Vat. lat. 6108). In P. Geyer, O. Cuntz, A. Francheschini, R. Weber, L. Bieler, J. Fraipont, & F. Glorie (Eds.), Itineraria et alia geographica (pp. 456–466). Brepols.
Menéndez Pidal, G. (1954). Mozárabes y asturianos en la cultura de la Alta Edad Media, en relación especial con la Historia de los conocimientos geográficos. Boletín de La Real Academia de La Historia, 134, 137–292.
Uhden, R. (1935). Die Weltkarte des Isidorus von Sevilla. Mnemosyne, 3rd series, 3, 1–28


Show Me Your Money

The Vatican Library's digital portal expanded this week to take in three new classes of document:
This takes the number of classes to seven. The manuscripts and incunabula (pre-1500 printed books) are the central treasures. The current total of manuscripts online is 15,970 items out of a total of more than 80,000. The inventories are the handwritten catalog books from the Library reading room, 270 of them, which are quite difficult to use. The archives is a collection of deeds and similar documents held by the Library proper, not in the Vatican Secret Archives. The latter four have been present online for some time.

The three new collections this week are the "Visual Materials", the "Printed Materials - Special Projects" (Materiali grafici e oggetti d'arte), and "Coins and Medals". The visual materials seem to be what an English library would call ephemera, mainly printed pamphlets or broadsheets (some scanned at dreadfully low resolution). An example is Stampe.I.96 showing St Peter's in 1655:

The distinction from "materiali grafici" is not quite clear to me, but as far as I can see these are single photographs of stamps and engravings found in books, presumably post 1500. At the moment this seems quite limited in scope.

The medals are fairly well scanned, though there does not seem to be sufficient post-processing to reduce glare. The 1506 (or 1512) item below by the engraver Cristoforo Foppa shows too much light on the shepherd's right thigh (this shepherd represents Pope Julius II as a caring ruler):

I am not planning to monitor these three new classes, as they are both non-medieval and of narrower interest than the manuscripts.

More may emerge about where the digitization program is heading later this month when the Vatican Library is hosting a one-day conference. You can invite yourself on Eventbrite, and it is free. The occasion is the completion of a 2012-17 project by the Polonsky Foundation to fund the digitization of key treasures.

Luminaries speaking include Anthony Grafton (@scaliger) and top librarians including Emma Stanford (@e_stanf) and Jill Cousins (@JilCos) from Europe. It's certain to be a love-feast, though I don't see Europe's one other mega digitizer, Gallica, attending.

I would love to attend, but regret that I cannot go for health reasons. I would love it if any eager reader could attend as a reporter and blog and tweet about the presentations!

Another multi-million dollar project that has just been completed without a stumble is the Bibliotheca Palatina digitization. The press release flags an official ceremony on February 15 in Germany with Manfred Lautenschläger, the German millionaire who generously stumped up the cost of scanning the 3,000 Latin codices, and at the ceremony urged wealthy people to imitate his giving.

The digitization restores to Germany in virtual form a precious library that was spirited away from Heidelberg 400 years ago. This pioneering work, which was managed by Heidelberg University Library, benefited the wider Vatican project too, because the Germans set up a proper digitization studio at the Library in Rome and developed basic technical standards which are still in use.

The Rhein-Neckar Zeitung news report says the work got into high gear once the Vatican Library provided a second studio, but quotes Heidelberg chief librarian Veit Probst saying 402 Greek, 430 Hebrew and maybe several hundred unidentified Oriental manuscripts originally from Heidelberg still need to be digitized.

Now that two major funders have completed their projects, the big question now is: who is going to step up with a few million euros to sustain the digitization of the remaining 60,000 manuscripts.


Rich Student

Among the most tragic figures associated with the Vatican Library is Fabio Mazzatosta, a very wealthy student at Rome in the 15th century who died before getting his first job. I have mentioned in a previous post the seven fabulous Fabio Mattatosta Codices, basically a bunch of school textbooks commissioned in the highest conceivable quality by M from his friend Pomponio Leto.

None of these was hastily copied, all had to be made with the finest script and initials. The arrival online in full color this week of Vat.lat.3279, the Thebaid by Statius (black and white version previously noted here) is fresh cause to celebrate this sad example of conspicuous consumption:

Still to come among the Vatican's five from Fabio's futile bookshelf are Vat.lat.3264 (Fasti of Ovid) and a color version of Vat.lat.3875 (Silvae and Achilleis).

The Vatican Library has been in high gear this week with 48 new digitizations online. The list:
  1. Chig.D.V.71 (Upgraded to HQ), book of hours
  2. Reg.lat.1933,
  3. Vat.lat.519.pt.1, Milleloquium Veritatis Sancti Augustini by Bartholomew of Urbino, see Bernard Peebles (1954). Part 2 came online earlier this month.
  4. Vat.lat.2188, Bernardini de Sicilia, Quaestiones de Cognitione animae conjunctae corpori; see also electronic Thorndike Kiber which lists an incipit Circa considerationem de mensuris durationis attributable to Dietrich von Freiberg.
  5. Vat.lat.2215 (Upgraded to HQ), Seneca
  6. Vat.lat.2236,
  7. Vat.lat.2238,
  8. Vat.lat.2260,
  9. Vat.lat.2271,
  10. Vat.lat.2307 (Upgraded to HQ), Durand de Champagne
  11. Vat.lat.2680,
  12. Vat.lat.2851,
  13. Vat.lat.2924,
  14. Vat.lat.2946,
  15. Vat.lat.2951 (Upgraded to HQ),
  16. Vat.lat.2954,
  17. Vat.lat.2957,
  18. Vat.lat.2962,
  19. Vat.lat.2963,
  20. Vat.lat.2970,
  21. Vat.lat.2983,
  22. Vat.lat.2985,
  23. Vat.lat.2988,
  24. Vat.lat.2998,
  25. Vat.lat.3006,
  26. Vat.lat.3007,
  27. Vat.lat.3008,
  28. Vat.lat.3009,
  29. Vat.lat.3010 (Upgraded to HQ),
  30. Vat.lat.3011 (Upgraded to HQ),
  31. Vat.lat.3013,
  32. Vat.lat.3014,
  33. Vat.lat.3015,
  34. Vat.lat.3016,
  35. Vat.lat.3017 (Upgraded to HQ),
  36. Vat.lat.3020,
  37. Vat.lat.3021,
  38. Vat.lat.3022,
  39. Vat.lat.3026, tracts by Walter Burley (1275-1345?) -  electronic Thorndike Kiber lists the incipit In hoc tractatu intendo perscrutari de causa intrinseca.
  40. Vat.lat.3034,
  41. Vat.lat.3036,
  42. Vat.lat.3043,
  43. Vat.lat.3044,
  44. Vat.lat.3092 (Upgraded to HQ),
  45. Vat.lat.3143 (Upgraded to HQ),
  46. Vat.lat.3227 (Upgraded to HQ), 12th-century manuscript in Beneventan script. Cicero, Philippics, Somnium Scipionis; O Roma nobilis, etc. Mentioned by Lowe.
  47. Vat.lat.3279 (Upgraded to HQ), Fabio Mazzatosta's Thebaid Statius (above)
  48. Vat.lat.3294 (Upgraded to HQ), Martial
This is Piggin's Unofficial List number 159. Thanks to @gundormr for harvesting. If you have corrections or additions, please use the comments box below. Follow me on Twitter (@JBPiggin) for news of more additions to DigiVatLib.


Digital Mappa(emundi) is Back

Long long ago (2010) on this blog, I posted about Digital Mappaemundi, a new web portal, which I said with orotund optimism "looks as if it will become a wonderful and important resource". It then more or less vanished. Reader Aaron M. (@gundormr) surprised me yesterday with the news that this one is still alive, now called Digital Mappa, with its own web domain and Twitter feed, and that DM 1.0 beta software was released as an open access product this week.

The idea was to create portals where digital images of manuscripts overlaid with digital plots and transcriptions and coexist with hyperlinks to similar manuscripts so that readers could explore them with ease. In the years since DM first poked its head above the parapet, I heard of various projects of a similar nature which generally seemed to die when grants ran out or the poor student doing the donkey work graduated.

Perhaps the biggest deal in this period was the creation of IIIF, a standard to mark up manuscripts so that they can be exhibited online side by side. I still find IIIF a bit baffling, with a dearth of tutorials and models.

Let's be frank: the way the web has always grown in the 20 years I have known it is that you find a good portal and then shamelessly pirate its code and its best features for your own project. I presume my own code has babies all over the place. But I have never found any IIIF project I could clone, and will be interested to see if DM sites are capable of parthogenesis. DM says it will be IIIF-capable from next year in a planned update. The indication that you need a network admin to start a DM project already sounds off-putting: is it that hard?

For a look around, try the Virtual Mappa collection, which contains various mappaemundi from London. I haven't yet seen enough to review it, though the images seem to take forever to load. The Twitter feed takes you through some of the important features. For the time being, I am continuing to make simple SVG digital plots like that of the Albi Mappamundi which I presented earlier this week.


A New Look at the Albi Mappamundi

The two most ancient map-style manuscripts in existence are the Albi Mappamundi and the Vatican Mappamundi. Both of these western charts of the Mediterranean-centred world were made in the second half of the eighth century, let's say about 770. One or other may turn out a decade or two older, but until someone scientifically dates the sheepskin on which they are drawn, we have to treat them as equally old.

I have just digitally plotted the Albi Mappamundi with a view to adding it to my Library of Latin Diagrams:

The inspiration for this burst of activity was the appearance online of a very comprehensive, very up-to-date article about the Albi Mappamundi by Anca Dan. La mappemonde d'Albi - un pinax chôrographikos was published in December and she has just been kind enough to post a scan of the article on her Academia.edu page.

She traces this early medieval mappamundi back to a model by Eucher of Lyon, a late-antique Christian leader, based in turn on similar diagrams from his own schooling.

The article's title subtly reminds us that the word mappamundi would have drawn blank looks in antiquity. The term did not exist then. If you had however said pinax chôrographikos (based on a couple of Greek-origin words) to Eucher, he would have got your drift. 

Schools in classical and late antiquity did not teach geography (too mathematical and of no practical use) but chorography (the size, accessiblity, appearance and hospitableness of places, who lived in them, what they produced). So this is a chorographic pinax (chart). Because of that human-practical focus, a mappamundi never shows the absolute positions of places like a true map, but rather their relative positions: what you have to pass by or cross to arrive at a further place.

Readers will recall that I wrote a blog post in 2016 about the arrival online of the Vatican Mappamundi, which is bound (fol. 63v-64r) in codex Vat.lat.6018. The Albi Mappamundi has been online since its Unesco recognition in 2014. Unfortunately I cannot link you directly to fol. 57v-58r of the codex which contains it. Go to the opening page of that codex, ms Albi 29, and page through to image 115.

Dan, Anca. ‘La mappemonde d’Albi - un pinax chôrographikos. Notes sur les origines antiques de la carte et du texte du ms Albi 29 fol. 57v-58r’. Cartes & Géomatique. Revue du Comité français de cartographie, no. 234 (December 2017). Online.