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# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 11
# Folio 15v, page id 00068056:0030
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 16r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068056&page=30
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.83
# 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.

sit grave quodcurque rigidum A MG, une quidem puincto A mobila cira punctum
fixum  A, altero autem
sit grave quodcunque rigidum   ec MEN cujus centrum gravitatis G.
suspensum ex duobus filis LM, PN, fixis in punctis datis L, P, quaeritu situs
suspensionis. per L summum punctum fixum agatur horizontalis LS
cui ex p normalit et occurrat ps, agatur huic parallela GX, debet situs esse talis
ut sit eX omnium possibilium maxima, seu ut centrum gravitatis maxime descend
 dabitur autem situs quaesilus si detur punctum H, in quo L M, et pN futa
concurrant. Datur porro Ged, et NCo. Ex punctis pGet Co, agaaturm AN
(normalem ipsi LS) re normales MW, C0Z, G1. Erit G   ut Ged data
ad Z V, ut MN data ad Mu se QR.  daturus ratio Z P ad ZR quae Gcd ad M N.. rr
ZV eta ad AZ ot Z P adjuncta a) AZ id est ad. Rursus ob tiangula co Z N, et MH N
similia est ca Neo data ad NZ ut MN rata ad WN Est autem
CX = NR - NZ GX seu VR V Qxe AN - N4, et NI = NZ- Z i
ergo GX fit   aequ. RN - NZ + ZY. sed ANaequ. SNdat + PF
sed RN aequ. 5 P (dat) + pF. Jam si habeatur punssum H habebitur L
C
Psa LR vocetur y et Bey HY vocetur E, et sit fet.
reducantur;
 et LH vocetur l. patet esse H- gy + hh. et fiet
LM= Q= LM y: l et MQ = LM h: l (oMW  PF = PN (AY. SPsen) E. Sp: Y
_RE CPN Exg. CBG Est autem LH = LY + HY. porro similiter
L=CQM = LM. HV: LH PF  pN. PK: pH Est autem
PK = HY = SR et PH = PK + HN. et HK == L5- LY. Quoniam
ergo ex 5 et 6 est GX = si + pF - NZ + Z P adeoque  i
ad (per 11. 1012 a yfit PH = HY + SP =  bis HY. SP + L5 + LY = bis LS. LY. unde
(per 9, 10, 13. fit pF  PN. HY- SP: SHY + SP - bis HY. 3P 1 L + 1Y - bis B.LY,
porro ex 5 et 6 est GX = sP + PF = NZ + ZP porro NZ = XCB. WN: MN
et M W N = (A N seu) sP+ PF - qM. Ergo per 16. 17, 7. fi et 
 NZ = NC SP+ PE = LM. HY. LH: MN  et per 1 fit ZP = GCOrMN QR
per 1 autem est ZPE QR. GCo: MN et QA =Lf( CG sA) ren
20
FN= PN - PF. Erx ER = 1 +1 m et Zp = L5- DLmOL Y: LH -pr. L5Ir PH 
Ergo denique ex 15, 18, C3 fil GX = SPA pF = ACO: MN SP+ PF - L M. HY. LNHLS - LM. LY. LH - pN. 25- L Y. pA GCS: MX
seu sE GX LSER GX. MN = MSPKPF MCD = LM. NCB. HY. LH + L5. GCD - LIT. GCI. LY LHP pN G( L5. PH F eN 5 0. IY. pH
A SP EntPH. HNBM. N  , - GCd. L5. PN OH + PN. GCd. L.Y
Exassit 0 = SPF - d NZ + d Zp ApF = ( H PA apC PH  PN: PN PH SPKD. PK spA
(25
(26) 
A eK = dHY  PH ApH = PK LHYBHK ALY. Ergo dpe = p
Erso  p F =7 ex AHV: pH - VX pR AB Y. BH3 + PX. HK aLY. pHet
s
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