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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 211r, page id DE-611-HS-958803:0423
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 212v); this page is its right half.
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# Lines: 47 recognised, mean confidence 0.84
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pertines ad liberas Dn. Bernoullii froningensis 14 Aug. 1∞9+
. tratendo die Cuna hatce literat iam scriptet habum portudi
dimscurm, eum eodea die aciperem novissimas mas 3 Aug. dutat, qa
cerunt ut diniscinem in hunc Diea distulerim, quo interea juns di
ligeater perlegere, et quod forte notaturus essea huc adjicere posset
 dicam quod res et, incredibili gaudio perfueus sum, cum videre
eundem genium diti totum mynercum pondisre, sed indigua quod 
alius admicem quatme. alique rem probe penetraci, annolatdo lo
sins negotii caednea in eocontiner, ut inveniatur ratio laterum
Luanguli charaiteret ci 1C15 (C) in Tun figura; collgere poteris ex
solutione mea supra alcata problematii ceterrimi appulcus, ubi paritet
e
dationem asigno laterum tiangulo PBKve D+ E, methodum meda eo
dem artscio aiti. Sed fateor mihi unicum defuise, quin perselrim
vellodum, quod sclicet tihi nonvenit in mentea diferendiatio parane
liorum seu quantitatum in eadem curoa invariabilium sed protamito
a curva adcurva variabilium d Luimmodi differcatiatione luet
eota olimliom internos oit verit, nunc Lamea ingenue fatetinon
cogitavi. Cuum vero ingeniore nom acuse illaa huic negotio auom
modaveris satio horai negee profectonihil elegattcus eit negue
logitai poteit quam moder ia ruus differchriandi curvam per
sumam different uncularu uneroitdarum. Jcun crebrius
conscendu currum, si tummitit vena mathematica aperitum a
movero defectus haud medioee calculi differentialis sublatus eit
eset annon pos depromi problemata qualiatata
seadeua sbrevissimi appussus ad omnigene applicatum cunus poopone
dedi in elliptibur quibus miter exercere possemus geometias
e
interiori geomenia lic mepine verrates viderent sane ognes
suos conatus voritor. quam diu in avitium artificium non penetia
reat, suomque infirmitatem tanto magii mirareatur, quod Rujuomodi
roblemata videantur facilia et ex diverta tantum methodo langem
sum desunta. Haud dubie quadratura illa asdy: aa et
Sdx: X quas ia logarilamicis pro ratione linearum. BB, BC inveni
a pletis possunt redum, ambae enim dependent a quadratura hyper
hola, et per conrequeas per ipsistimas logar lamicas conchin possunt
das
ofciscet explicare metho du mnis cau
matui exgemplum ad uge tancalis caus
stroitam ed eit non ad certum esenplum cogarithmicamum adaptatam
pero non ingratum fore, si hic mellodum generalissime exposuero:
sint ergo (vide figurata Tuam) curoae ordinatia positione data qua
n lege coynit progenitae VC, V(), V((C)) quarum oxir communis
VB, et peranehri variabiles a, (a) (a)): sent jam portiones curourum
C,
le
G, VH(C) (quas huaequales posuicti) dat a lege cretientes vel de