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# Title: LBr. 396 · Hermann
# Folio 54r, page id DE-611-HS-973581:0107
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 55v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-973581&page=107
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-973581/jpgs/default/00000107.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 316, 2026-09-10T22:11:11Z — 32 lines, status machine
# Lines: 32 recognised, mean confidence 0.93
# 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.

Eperplum ex rEsponsione 29Fed1708
po paeqoaio gentalis R Mustrissime atque Amplisime
Fautor, et Patrone Colendis me
reculacet Apalypelua no problempalo inveniendi lineum quocurvas
ordinatud positione datas in anguloditas lagis seect. Tecum incipieas, ita pergo: (1) a
du: ap=- dx: dys si jam aequatio specialis adcurvam AC, sit )dox
(2) aadque= Xx ax Fyy dx, ubi simul concurrunt X, ax, y, des; ideo ut tollamus ambas X et dx
sumamus ax esse constantem et differentiando aej. 2. fit (3) Xaadius 2yayax: raxdo neppo
aG4. 393,1. sollendo xetdo sipprerit aequatio in qua supe erun habebitur de per
adus dus. et u ideoque per affectiones unius solius, determineta, quod mnihi melins videtur quam
unam indeterminatam perplures determinari. Sed possumus etiam adhibere novum
aequationem generalem, nam diffcrentiando aequ. 1. puditit (4) deus = ddo dxax: dodo. Unde habus
pobst aequacio inqua eytert solum ddo, do, dys . quin it potest res tandem
deduci ad aequitionem differentia em ordinariam strinu gradus, quasoluta
Mitto excerptum et Aubhmisica universali
hublatur quaesitum.
Neutoni de modo Inv estizandi divisores unius am duarum dimensionum optem
res produi ad plupes dimensiones.
aucos ante elapsos dies humanipimam Tuam epistolano
latur accepi, eo ipso fere tempore quo simitri quid Ampli-
at
ego, nunc vero auxieras nostra diparet ex quo à malo quo
ea verabatur denuo reconvaluisse intelleximut. Deumque pracu
mur ut. Ampl. Tuam tarquam fulg. disrimum omnis Sapi
entic et Doctrine Sydus quam diutisoime erudito orbe
prafulgere sinut; nam ego quidem duplici excitor motivo ut
gro incolumitate ua Vir Ampl. vota ad Deum faciam, nempe
quod id e re sit universa relpublica literariae tum etiam
quod in propviam Ed mihi redundet atilitatem cum tantome
benevolenticm pro incomparabili. Tac humanitate prosequam
rii ut nullam hactenus epistolam aceperim cjar non
contonuerie prolixchima tertimonia; imprinis dutem ulti