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# Title: LBr. 56 · Bernoulli, Jac.
# Folio 8r, page id DE-611-HS-958800:0015
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 7v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958800&page=15
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-958800/jpgs/default/00000015.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 145, 2026-09-10T03:18:46Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.94
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

chema
ut perinendo rgaram Eorotolae tua) quadrata drdinatarum FB sint.
proportionalia aggregatis ex trilineo CFB duclo in L H et plaro
constanti repraesentante pondus p ducto in FC. distantian Centri Gra-
vitatis ipsius P. ab B3, Ego dam rem in gratiam sui aggredior
incido in difficultates, quae me admonuere debile accomodandos esse
quaesiti terminos, remques ita, ut fgura exhibit esse inpossibilem. Idqu
sipsum quod sine admonitione ista in nentem non vererat, non
facile animadvorti; primum enim nego fieri posse ut figura
in panctum  desinente appensaque trabi pondere p, in C, trabs
utique aequaliter resistat, quod sic ostendo: in figura desibe
solidum e pla desibe
rata si talis esset figura CDA BC debet esse planda  repraes en
tante pondus p. ducho in destentian CF una cum mamento
ipsins  trilinei CFBC ex FB, tanquam axe sum la; aequa le
Solito ex quadrato ipsius FB ducto in rectam conttantem; sed sub inilium
cum abscissa est incomperabiliter parva ut CE. adeoque et ord ina–
ta incomparabilolete porva La tunc momentum ipsius trilinei
CLa ex ane de est inconparabili er par oun ne sectu moment
ponderis p, seu respectu plani alicujus assignabilis ducti in
C2, Ergo evanescit in additione et proinde idem est sive
dicas momentum ponderis p. et non calum trilinei Ces
sinul sumta debere alicui rei aequari; sive potius dicas nonenq
tum ponderis p solum, eidem ipsi rei aequari. Postulatur
ergo Lunc ut solidum factum sub plano constante assigna-
bili ( pondus p repraesentante) ducto in CQ inconparati
liler parvan aequelur solido facto ex quadrato eA inconpa-
ar
rabiliter duito in rectan constantem assignabilem. sed hoc
est absundum, cum isud solidum sit hoc inconparabilitar, majus
nempe eA in CQ est inconparabiliter majus quam dae
quadrat in 13b posito a et b esse quant itates conpara.
hiles, sed C2 et LL esse ipsis in comparabiliter minores. Nis.
vicissim  eset in conpparabiliter major ipsa C2 cujus con-
trariam in paritota est vverum ubi sub inibium (sero pro
incompana bilis er parvis) C2 etsi ipsamet incomparabitleo
parva ese tanen adhuc inconparabiliter major ipsa  adem
nec in curva nostra desiderata (quippe quae postremo iminu
to conlinuo stondere p. sparabotam crancscit) contrarium
 seu nomentum ipsus
B ex FB