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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 37, page id 175905688X:0059
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=59
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 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.

lacera
B, 21
lam 6
0t11
volu
L EB E R S E C U N D a S.
Bolx. Ec Facio R L Da, latusque principale, hoc est.
quod adaxem Parabola pertinct, itidem aequale a (7 A
VCFO D 2a, C B sCU MI A ∞ y, _ CMI ICu AB ∞ X.
Deinde propter limilicudinem triangulorum GMI C e
CBL, GM scu 2 a - y est ad MI C sCu X, ut CB seU
padBL, qua ideo est.
. VndC CU LR AEA, BK
2a
2a =, (C1 = a0 = ay = x)
2a -y. Denique, quonia Ca-
etita
dem BR, quae diametri Parabola est seomentum, se ha-
bet ad B C, qua ipsi ordinatim est adplicata, ucBC sC
habet ad latus rectum, quod esta: calculus monstrat,
quod 93 - 2 4yg - a ay- + 2 a3 aquabIEUE a X y, e PCt
consequens, quod punctum C erit illud, quod quaerc-
batur. Ouod quidem, ubicunque libuerie, in linca
CFCalsumi pocest; vel etiam in ejus adjuncta cF (76,
quae eodem modo delcribitur, praeter quam quod Pa-
rabolae vertex versus alteram partem vergat; vel deni-
que in carundem oppolicis N Lo, n IO, quae per inter-
sectionem, quam linca CC Facit in alcero Parabola
latere R NV, describuntur.
Jam vero ctiams datae parallelae AB, IH, ED; X
CF non aequaliter inter le dictantes cAenE, nCC C A
iplas ad rectos anoulos secaret, neque etiam linca a
puncto C ad caldem ductx; tamen non minus hoccc
punctum C reperiretur semper in linca curra, qua ejul-
dem eset naturae. Ouemadmodum id etiam aliquando
conringere pocest, licer nullae ex datis lineis lint paral-
lelae. Sed quando ita quatuor parallelae lune, e quin-
ta ealdem secans; de quidem parallelepipedum ex eri-
bus, a quaelico puncto ductis, quarum una super quin-
tam cadat, e alix duxe super duas ex parallelis, xeque-
tur Parallelepipedo sub duabus ad duas reliquas paral-
lelas, ex certia quadam data linea: punctum guaelieum
repe