# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/32580/text
# Catalogue record: 32580 — [Über Bibelinkunabeln]
# Incipit: [- - -] duobus voluminibus in fol. in membrana in Bibliotheca [- - -]
# Date: 1687
# Akademie-Ausgabe: AA V,5700 N. 009
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=32580&katnr=45378
# AA V,5700: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-v/
# Work: https://leibnizlegible.com/work/DE-611-HS-3653099
# Title: LBr. 57, 2 · Bernoulli, Joh.
# Folios: Bl. 254 (from the shelfmark LBr 57, 2 Bl. 254 (oben)): 2 pages, canvases 507–508, page ids DE-611-HS-3653099:0507 to DE-611-HS-3653099:0508
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3653099&page=507
# Lines: 78 recognised on 2 of 2 pages, mean confidence 0.81
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 254r — DE-611-HS-3653099:0507
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3653099/jpgs/default/00000507.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
in membumi
na duobus voluminibus in sol in Brbliothera
gram. subfinem hoc leguntur.
hoc opuscutum Artificiosa adinventione
idi seu al caracteritandi. absqus calami exaracon. in
ute Moguntum sic effigiatum. et ad iusebiam dei
ustrie per johem Fust civem et petrum schoiffher de Gernsheyn
Aericum dioces. ejusdem est consumabum anno Dm. M. ccce
LNAT LXII. in vigilia assumpcors virg. marie
Alia Biblia lalina in folio minore in nm baud, ubi
al
Edlum opus et emendatum accuralisscme
diligenter imposit Mathias Moravus vir singulari
in fine:
arte ingenioque. In mrbe Neapoli Ferdinando Rege nvicto
der M. CCCC. LXX V)
Madus parx prollaria quae ac Bemoullus adjecit solutioni fergemini problematis disp
anno XpI
sic sunt pradicabilia: jeaus species differentia proprim
Unum idenus binomium potest esse vel prinmus vel secundum vel ztium; item Itur
sex  Basil. 1687.
vel stum velotum non Aostantibus propp. 55. 56.57. X. Eucld. Plantelliuc destpotonur
commune, accidens.
pro dimitiendis soms et pyramidibus decurtatis saltam is quae bases habent paralletas
et simules hane genatysi regulam simphassimam suppeditat. Summam basium mediius pro
sbilonalis inter illos duc in 3tiam partem altiidinis productum manifestabit quasitiu
pro aptanda allitudine nubium novam uoem Methodum ex observato momento dispari
tienis coloris rubicundi, qui nonnunquam post occusum solis aliquandia in aubibus conspit solet
quaeritur ratio cur per vitium plago planum ad axem vistonis valde oblique plossum
in perspectiva figulares fugrentes peppendicalares in eadem sectione existentes
bjecta dextra appareant sinistra vel contra
nequaquam aqua fortiter lingenda sunt contin regulam on. desareues, et praxin du. de Pose
Divisio inpartes aequeles instrumenti illius nocturni quod descripsit Munsterus et ex illo
l. Turulius p, 3 Gprom. Wdelp. c. X) aeque vitiosa est ac foret delinear curizontit
in er perspectival T. 1. p. 296:
Glotei sesimentorum aellgorum longissime ingrediantur ex elevaoe 45 er explosi si quidem
tordlagis aquinoctiulis in ilhuo verticali
exclosio maxima, sub argulo tantillo minore
controgere denet: interm resterio si vis gravitates plus quam dicies semel superet
ab aeris resistentia anstrazatur; hac enicam posuta
im resistentium aeris glibm ex ec gr. einissum ad huc paulo longuis ferri qquam ex 44
de est Masticont opera, in examinandis ex plosiombus ad singulos
idi. in unis sortium quannem altias tantum schedar exeunt, nostris nominibus in capsa
 utiaob ervata reliquae calculo seleduci possunt,
superflua
distantibus expetationes nostrae crescunt in propestione armonica, sed u urpal nupera, in qua 16000 schedae augne
gradus nam
ut 348 scherae albae ibsus internuptione extrahendae pnssenti aute qua vatorcexie
tationis an quamib et schedam creviset unieo sestante 1333 aliae, autequa tobus, iterua 319
 arte corje
inlaqua cievissertribus, adeo ut in universu serede, albas 100o continua sere prodore debuissent
prins quam suam quis in capsa adhac lalitantem shedam quae initio valebat plassi bus
C
trum illud tam eratis
iss. Jac. Bernoullii de Rationbus et proportionibus b88.. In procossione Geometricu tusoprimo, si primus terminus
cum semisse, alteri assibus vendere potuisset
duatur in differegnem primi et ultimi, productum dividatur per difrentium primi et secunde quoto addatur
frclimedes, lb. 2. de separ et cylintro prop. 9. ipses oe copositas denno inter se comparat, dum au
hiplicatam, rationis alicuus ejusdem duplicalae,  sesquiateram vocat, unde rato pasi dey posita ex urgit ntma
ultimus, habebitur progressionis summa

## Folio 254v — DE-611-HS-3653099:0508
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3653099/jpgs/default/00000508.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 18 lines, status machine
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