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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 118, page id 898203430:0146
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=146
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.88
# 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.

 Cx 23. leC.
nostrae de
MaX. e
Min.
NINCENTH VIVTAMT DL LOCIS SOLIDIS
sircq quem LR describatur FIVDCOST OL F CaII axe transuerso Moduli
NL, qui ad suum rectum P. I sic ve EIliplis eransuersus R B ad difteren-
tiam laterum eiusdem, iplam OT F. etransulo circumaucto SE. P inscriptam
esse, ciulesle concauum esse Limitem Plopolitum.
Frisatur ex A super laceralem tangenem AF, normalis AR.
partem DR, e qua es fD dd teliquam L R eAt vc idem iraul.
Nam exic OD ad D R, ve 2 cransuersum R B ad suum rectum: sed
est quoque OP ad PP ve idem transuertum ad idem rectum, ergo per
convertionem rationis tam tOta O P ad FOTM OF, quam ParS DO ad
vertum ad disserentiam laterum corundem, vel ex Hypotheti, ve N L
ransuersum descripia Hyperbolae ad tuum rectum latus I. I; sed PD ad
FR, sumpra communi alticudine DE, est ve rectangulum PDF, vel ve re.
b10 huius ctangulum ipsi requale b NDL ad rectangulum RF D, vel ad quadra
ad num. 2. um P A C in triangulo rectansulo F A R) vel ad quadratum semibalis
DS ipE F A aequalis (ex triansuli circumaucti generatione) de NL. ad
uc primi L. P est, ob Fyperbolam OL F, ve E idem rectangulum ND P. ad quadra
tum lemiordina. x ex D, erso ivla lemiordinata ex D aequacur semibali
DS, dc propierea Frperbola transie necessario per S, cademque ratione
rg. hurus Per T. Ouunque recrangulum D P F. Xquale sit d quadrato semiaxis
adnum. 2. trantuersi PL., reCta F. S, F. Y, FIy perbolam continsene e ad S, T, ad.
C ex COnveK
1051. Prim
eoque ipla circumaucio triangulo SFT erit inscripta.
S Plaelered Vellicales tangentes BF, RO in EIyperbola ad axem
ordinarim applicatae. sique ramus quilibet alius F.V, de per V semior-
dinata XY.
EE quOnIAI Ex tErInIS FAOLUI FK, E. V, E. A, F. B, ducrae lune in
11 C. it L HyPer
Conic.
LOnC.