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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 168, page id 175906937X:0192
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=192
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 recognised, mean confidence 0.93
# 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.

168
E L E HL C U R Y A R U M
re. Sumpto enim in curra praeter Polum B puncto urcunque, relu.
ei C, Ecrus efsiciens eidem applicetur, uti in policione BC, consti-
cuetur ab iplo _ efficiente angulus, ut C B C: atque adeo punctum
C, utcunque sumptum, id est, coca Parabola, praeter Polum B, in-
tra efficientem AB C cadet.
Corollarium 9.
Constat quoque ex ancedictis, non posse aliam rectam praeter
efsicientem Parabolam in Polo eu rertice contingere. Juoniam
enim alia quaeris recta per B ducta, ex. gr., PR, angulum con-
Stiruie cum efficiente AC, UER B C, ( à Polo ad directricem ducatur
recta BFI, ita ur eidem angulo R B C aequalis sic angulus DBHI,
ac per punctum EIagatur recta diametro parallela, uc HICI: erit
ca ipla describens, d TIBR angulus mobilis, uepore aqualis angulo
mobili DBC3 BR rerocrusefficiens: ac proinde iplarum II6.
BR interlectio O in Parabola. Ouare cum recta PR non in
puncto B Colummodo, sed _ in puneto (F Parabolae OcCurFaL, de
3perCtt TOTa BC recta 3 intra curram cadat, non continget recta PR
Parabolam, sed eandem lecabit.
leaque omnes recta in Parabola ductae, guae concin.
genci in verrice aequidistant, ordinatim ad diametrum
applicantur lire ab eadem diametro bitariam dividun
TuT; _ contra, qua cuilibet rectae, a diamerro bitariam
dirila, per verricem aequidistans ducitur, Parabolam
in verrice contingit.
Corollarium 10.
Exdictis qlloque obrium elt, quo pacto datà politione l’ara-
bolae diametro, ejusque rertice, & latere recto, nec non angulo,
quem ordinatim applicata faciune ad candem diamerrum, ipla
Parabola in plano describatur. Si enim describendae Parabola dia-
meter sIE BK, vertex B, lacus rectum ad eandem diamerrum
pertinens BD, (quod quidem ipsi diametro in directum sit poli-
cum,) atque angulus quem faciune ad dictam diamerrum ordina-
cim applicatae ABK rel C B K: oporret, duet a per D laterisrecti
termi-
BujuS.