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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 298, page id 175906937X:0322
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=322
# Source image: https://digitale-sammlungen.gwlb.de/content/175906937X/jpgs/default/00000322.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 46 lines, status machine
# Lines: 46 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.

E L E M. C u R Y A R U M
ad quam ordinatim applicatae lint ip (I AK aequidictantes. Jam vero
cum veE∞x = B, d recta R L sive AF auterenda eAK HI, ita ut
cadem X HI sic ∞ h, ideoque IIL indetinite quoque lumpra x
X =B Ceu V. Deinde per punctum LI ducenda eA IIC ip(i AK
Parallela, lecans inrentam diametrum in C5, Critque idem inter-
sectionis punctum C quaelita Fllipleos centrum. Porro quoniam
similium cxiangulorum R IIO _ R L B nota est ratio lateris HII
ad HIC sIVC K L ad L B, ut ee angulus sub iidem laceribus con-
centus, uepore aequalis angulo dato vel aNtum peo F: A K, erit quo-
que noca ratio lateris R FL ad latuS R G Sive R L ad K B, quae po-
natur ut a cogniea ad e itidem cognitam. Ideoque cum FIL. live
GM, qua ipsiTIL Parallela incelligitur, indecerminate Cumpta
sic ∞ V, erit CB, Similicer indeterminate lumpea, hoc est, quaeli-
bet diamerri portio inter centrum ex quamlibet ordinatim appli-
CaTAI INEETCCPTA, ∞. Cujus quidem interceptae quadratum
cum in Formula Theorematis ZIV ulcimum aequationis terimi-
num constituat, a quatio supra expolito modo ita reducatur, ut
ec vD
terminus ejus extremus Aac
aa id quod factum erit, si singuli
aequationis termini mulciplicentur per e e, productumque di-
vidatur per a a. inde enim sequenci modo se habebic aequatio
20Cz2 ffee eevo
saa aa aa. Elinc si juxra Regulam Cemi-latus eran-
ef
verlum C F vel C C Cat ∞ V eess
aa id est, = e ratio tran(rer(
lateris C. Fad rectum latus F N, ut lee ad eaa, iildem que lateri-
bus, ac diamerro, ceneroque, modo inrentis, LIlipsis describa-
TUF FD C, SCcanS rectam A F. vel A R productam in L: CTIE CUEVA
IDC LocuS quae litus.
Sumpro enim in ea punctoutcunque, reluri D, duct aque DP.
ips AK Parallela, ac si opus sic productâ ut secet rectas KL. d
B in L. a B, li eadem DF. rocetur y, erit D B, hoc est, DF.
FL. F L B∞ y - 0 + =TeH Z. FA AUFEI VE jAM AHNOTatUI
eAt GB∞ aeque ex constructione  F ret 6C ∞ ideoque
et
FBD + =, aBCX
eeoV
f-
ev
a aC rectangulum FBC ∞Ssc
aa
aa. Eline cum ex nacura ElipsiS SIE WEN P ad FC, hoc est,
298