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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 231, page id 175906937X:0255
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=255
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 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.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

1
1
E F B. T. C A P. IV.
positas syperbolas describi; uc ec, quamvis criangulum B AC
ilolceles non Foret, nec eriam recta B R ex angulari puncto B sed
ubiris in recta A D educta eset, nihilOMINUS CAIeN CUEVSIM AO
Parabolam FOre; at rero nec parametrum priori, nec verricem.
nec diametrum posteriori calu ealdem remanere, quastamen illis
que que calibus determinare Facillimum est.
Ononiam auten circa finem capitis primi monui
mus, curram, juxta deliniciones in principio ejuldemr
capitis propolicas, qualibet efficiente, et quocunque in
tervallo deleripeam, si anculi mobiles inx quales lint ris qui
ad directricem lunc ab eadem parte, IIyperbolam elle,
idque Mechanica guldem in plano delincationi non
inueile judicamus: idcirco id demonstratione jam
comprobandum duximus, limul ostenluri, quo pacto
cadem Methodus ad praedictas Ilyperbolarum deli-
meaciones commode applicetur.
Sit icaque efficiente LC, intervallo AL, de directrice IEL O, an-
Gulis auTeI LAL. XEXL. A inaequalibus, de(CTIDEA CUEVA D AN:
dico eandem curram Hyperbolam esse; ac si duct a d Polo A ad
directricem recla A K, ita ut anguluS L. A R angulOL A (7 29u2-
lis (ic, cenero A _ interrallo A K circulus delcribatur, secans ef-
ficientem in L_ C, ac directricem in R e 1 a, perque puncta Le a auE ean-
dem in R
R, neC nOn per C _ Q ducantur rectae IK, C C, libi mutuO contin-
OccUErenteSIN F, rectas FI, FC ACymptotOS CMlC b.
sens, uti in
Sumpeo enim in curra. puncto uccunque, reluri D, applice calu Hs. V
Cxhibico.
cur tam ancutus mobilis, ut O A D, quam describens, ut OD, in BE vero di-
cacione uriluere, cum per eas descripeum est punctum D. Guo- ctorum
niam igitur aequales sunt anguli AIR, AKL. inter SC =, nCC nOn BIMACOML
limul lumpeiangulo R AC, (quippe tam polterior quam prio- cidane ve-
res ? cum angulo IAI binos rectos consticuun): crune quoque luc lecK in
TIL, 2c C38
anguli AIR seU AIF _ C AL, urpore equalium dimidia, in- O in IVFio
ter le aequales, AC PrOPTerCA 3 reCtX IK F _ A L parallelX ; tangacibi-
ideoque licur LK F recta FO occurrit, ita e cidem F C occur- dem circu-
lum recta,
renE uE IP; in
ooit. d
eaboletocam conlindele cetnucat. Per 3primi.  Per 3C hce.
et ab
primi. cin calu tis. IIL, quoniam urerque angulorum AIF et C A L. rectus est, recta
,a Dalallta tllti