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# Title: De Locis Solidis Secunda Divinatio Geometrica (shelfmark Leibn. Marg. 151)
# Folio 46, page id 898203430:0074
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=898203430&page=74
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.86
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VINCENTM VIVTAMI PRO LOCIS:
tans ens L. MI, 221 Occuens in M. (cuim vecunque sectangulorum ML. L,
e focum, e hac ve diferenEsa LaLCLM Ae LCCLUM, HC VE L. F ad FC its
F N, qua maior est F F, ad aliam NO, haec quoque maior erit FC,
 compolita PO maior compolica F. C. Si igitur ex N ordinetUr NO.
aSatrquC FangeNS OP: (cum verunque rectangulorum G F F, PF H,
aequale sic b quadiato lemidiametri EB) eric F. ad F P ve NE. ad F F,
sea NF maior est FF, ex constructione, erso ee C F maior F P, adco
que E , qua maior es F C. cd maior cst ipla F. P.
37. Primi
LOnC.
b ibda.
DOLITa F. R minor composica F C: GuatC SCX LBTM LL, CMCaCI que
CF F aequale sic ~ quadrato lemidiametri FB) erit M F. ad F G VE F F
ad FL, Led caLL maior FL, Cx Co e1BO a ML MatOL L. 6,
scd F. C oltenta e maior FK, ergB ML eO maior elt ipla LK.
A. Si vero in eadem Ellipsi sumptum punctum (ic N, suet Verticem
5. In Hyperbola alicem, si sumpeo puncto l iner centrum, de Focum.
Fiac ve summa laterum ad rectu, HIIC VE F F ad F G7, ita FI, quae min
nOr est EF ad aliam PI, haec minor erit ipla FCa, de reliqua PK minor
reliqua F C. (Si erGO ex L ordinetr LL, _ aGatUK LANBENS L M
(cum virunque recrangulorum MF:L, CEL aequale luc c quadrato radi
EB) CrIE MF. ad F C, VE P F ad FL, sed F F maior est EL, ex constru
ctione, ergo _ML maior PC, e co maior ipta FK, quae minor oAten
la est cadem F C.
6. ALHIII Caltem Hyperbe, sumpto puncto N intra focum, tat
ve summa lacerum ad rectum, vel ve E F ad F CF, ita FN, qua maior
eAt F. F, ad aliam NO, haec quoqe maior erit ipla F C, _ reliqua F O
iblaem: maior etiam reliqua P. C. Finc Si ex N ordinetur NO, ducaturque tan-
gens OP (cum verunque rectangulorum (F F, BF N aequale sit d qua
drato Lemidiamretri FB) eric C F ad F P VE NF ad F. F, Sed NF maior
est ipsa FF, ex constructione, ergo de tota CF. maior est F. P, adeoque
F. O, guxe maior eAt F C, eo maior cA eadem FP.
7. Praeterea, in prima F.lIipSS FguTa: quoniam E C ad C F CA ve
transverturi ad rectum, ve in Propolitione superiori octensum fuit, erie
per conversionem rationis, PC ad EF, vel quadraum semiaxis F. B ad
Qua
ibidem