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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 90, page id 797435492:0318
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=318
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 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.

E E C F. ZI
MX VD9 -]. F I9. .) - PKg -1 CL9; erso summa lX g.-
RX9. + L Xg + HIX9, subdupla est CumX V D 9 -- FIg. 1
FKg. J. C. L. 9. Vnde liquet Propositum.
ZV. Ouod Si curra D XHI talis concipiatur, ut sit ordinata quae piam.
ceu IZ, incer congruas ordinatas PF, IE bimedia ; erit lumma cubo-
xUI Cx IX, RX, C. X, _C. Tubrripla CubOTUI Cx DV, IF, RF, _C. Sin IX
DV44
Cic trimed. Fexit 1X94. ]- RX49. ) L. X99, e c. =
+ lEg9. I- BF9C
_c. ac ita porro quoad cateras porectates. Not. bimediam ap-
vello, gux duarum mediarum proporrionalium prima; crimediam,
quae trium prima est, ecc.
tIxec limili ratione colliguncur, ac comprobantur. Piget nonuv EAr.
XVI. Sit porro linea V Z O calis, ut ordinata A Y ipSI AT; e
ordinata B F ipA B P, eEC. aequeritur; erit IZ g. ] RZ 9 1 LL 9.
_cc. (summa quadratorum ex ordinaris a curra DZ. O ad rectam DII
aequalis SUMIXV A X A F X A Y . . ABXBF X BY + BCXCC
X CY, _c. (hoc est Hourx V D eI in figuram VD O duatX).
ZVII. Item, Summa IZ. cab. L R Z cab. - L Z cub. _C. =
VAXAE K AY9 I AB X BFXBE9. J. BC XCOXCT9
_c. hoc est ficurae V DEL infigurae VDO quadrata ducta). Sitmi-
lis ee aliarum porestatum est racio.
Ad superiorum normam haec Facilé colliges.
XVIII. E adem vera sune, et omnino similiratione comprobaneur,
Fitiam si CurrX V HIconrexa rectae V D obvertantur. Nempe, Si tinea
DZO calis (iC, ut ducta per quodris in curra V e punctum P tangente
EE, _E FA ad FID parallela, aC F. IZ adV Dparallela, sit perpetim II. =
AP, erit spatium DHIO spatiO VDHI aequale. _ Colidum Factum ex (pa-
DEIO Circa axem V R Converso duplum erie Colidi ex spario VDFI
circa cunde axem V D rocato producti. Quin et reliqua pari modo
convenient.
XIX. POrrO, SIE Curra quaepIam A MB, cujus axis AD, de huie
perpendicularis BD; cum alia sit linea R Z L calis, ut Cumpeo in cur-
ra A B uccungue punctoM. _ per hoc ductis rectâ MI T curram
ABCansentC, recta MF Z ad DB parallela (quae lineam RL secet
in Z, rectam A I in F) dataque quidam lined R; Fic Y F: FM:
R.
F18. 226.
E18. 227.