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# Title: LBr. 437 · Huygens
# Folio 157v, page id DE-611-HS-3595205:0320
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 158r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3595205&page=320
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 recognised, mean confidence 0.86
# 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.

BF = HL . LA - RF vel (B) F = BL
(3) LR
BF = BL - LF et LF = LR + RF. Ergo BF = BB CH LB - LR - RF pe e2
(B)F = (B2 + LF et LF = LR + RF Ergo (B)F = = L(B) + LR+ RF
XFL  RF = ME. RS: MN AS = LP - LR - PS fit 1x4 et 5
AF = ME: MN. LP - LR - ps. Ergo denique sit p3 et 6
BF = LB = LR = ME: MN. 2LB - LR- p5
seu BF = ME. LB + NE. LB B ME. LR = NE. LR - 2 ME. LB + ME. LR + ME. Ps
seu BF = NE - ME LB FIEAREE - NE. LR + ME. P5.
si jam NCV ME sint aequales fit BF = pS - LR ex o. et  quam
Eodem casu sit RF = SF ex figura. seu _ per  eet b fit seu L
Et e fit C et MR H +Ns_ = 2FE LK + MR = LM Ds + NSE p
AS + _ MR - NS = M N seu LP + LR + PS = ELP. LR - 2L P. ps + 2LR. PSit MA NS: Ma p qui
Et ope aequationum 9, 1, 12, 13, 14, sublatis quatuor literis, LR, PS, nA, N5
quinque
restabunt duae BF, FE, ob aeq. g. fit BF PS + LR - 2PS. LR et ob aeque 11. ft
MR + NS + 2MR. NS = 4FE et aequationes 15. 1b. Subtrahendo
in yaeq. 14 pro LR + MR ponatur LM ex aeq. 12, et pro PS + NS ponatur pN C . 13
et fiet L p + LM + pNN = M N B: E = - LP. LR - L p. p 5 + fLR. P5 - Y M R. NS
Rursus ex 12, 13, fit LR + MA + PS + NS = LM + pN, unde ex aeg. 18. 15. 16.
fit BF + 2PS. LR + 4FE= 2mR. NS = LM + PN. Subtrahantur etiam
a seinvicem  aeg. 12 et 13 fit MR - NS + L R - PS = LM - pN unde
per ∞ 89 H et 9 sit 2FE MR - NS  = BF PS+ LR = LN - es. Ita.
jam aequationes habemus 9, 11, 17, 19, 21, in quibus quatuor tollendae LR, Ps aRps
pro compendio, et pro aequatione 17.
1t pro et 2(2)
D = GpS. LR = NS. MR  et
fiet  = LP. LRF PS + MR. NS = LR. pS C ade  nor ) et  conbinent nlas
pro 21 scuberaus 2FE. MR - NS - BF PS + LR =  ubi det  conbinent ntas
cognisas, sed D non n item. Ope duarum aeq. 24 et  1 inveniemus
Valores ipsarum MR et NS. nam ex 2 fit MR - NS = B + BF Ps+ LR: 2FE
ergo ex 1 et 25 fit mA = Q2 +. BF PS+LR,: XFE, +XFE et similite ex
5
1 et 25 fil fNS L fFE, = P L BEPSELR: XFC unde ex 23. fit 8 = p s. LR- FC+ GABF BIR. 167~
Ex 22 A est 0 - V: LP = LR+ pS seu per comped _ LR + PS = F. Ergo ex 9 ec 30
fit Ps = BF + t,: 2, et L LR =  G- BF, : 2. Ergo PS. LR = G - BF: 4
234)6
quo substituto deniue in aeq. 28. fit D = it - + BF- FE + Q + BFB: 1bFE ubi tan-
dem sublata sunt quatuor literae,  tantum supersunt, BF, FE, et cognicae, nempe
41
LR. PS MRN
per spend. LM + PN:   2F fit ex 9 et 23, 3 = 2 - L BF2- 2FE e t = O. 1P - 2: LP + BF + YE:Cp
et per compend.  0 - 2: LP vocando  = 8 fit t = + LBF + 2FE: L p, adeoque
(40
 sit GEF dupla recta ipsius GF. fiet GB = BF + 4F ett = P4 GB: 2tp
et ex aequ. 34  per 36. 40. fit 2 2 si  GB. a + QL BF G +0x G D: up. H