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# Title: Ps. 2 (shelfmarks Leibn. Marg. 178, Stück 2; Leibn. Marg. 178)
# Folio 237, page id 175906937X:0261
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175906937X&page=261
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.85
# 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.

el
L. T B. I. C A e. IV.
23
Itaque h uea SLL. Asymptororum alterueri, ut F I, parallela,
ad eandem Alymprocon ducatur AIE, ita uE L. A IE angulus ansu-
I0L A C aequalis sIE, _C per H recAH O secanS praedictam AL
in L, ita uc angulus FK O ansulo FO Iaequalis sIE: CxiecurVa.
efficiente IC, intervallo AL, ac directrise KO descripea, ea ip (
Eyperbola, qua quaricur.
AdMcchanicas porro FIyperbolarum descriptiones
non inutile tore judicarimus paucis hic ostendere, quo
Pacto vel anculis mobilibus rectis, vel ita ut describens 2d
directricem lic perpendicularis, qualibet IEperbola in
plano delincari queant.
Siitaque rel hoc, relillomodo describenda sic in plano FTyper-
Bola, cujus ACmpEori (InEFS, FP, quamque contingat rectaSI,
utrinque ACymprotisterminata: Ducta ab alteruero punctorum S
rel T recta, vel ad hanc, vel od il-
Jam ACymproron perpendiculari, uti
F V, quam ad FI angulosrectos et.
ficere lupponimus, cidem YV per
punctum I (nempe ita sumpeum uE
TF incer VF _ SF media sIE PEOPOT-
tionalis) agacur ae quidistans lC, qua
continset quoque Hyperbolam quae-
litam? Propterea quod sic V Pad TF,  per 9Ba
hoc eA , PF adSF, uti 3 Y F ad GF. 2 ex Byp
Ideoque descripro super eandem LG rhest.
CirculoTKC, qui tansat A(yInPTO- 3 Per 2Sex-
tin e com–
TOn FY in C, +, atque alteram lecec ponendo per
in I, sI Per X _ C ducatur recta 1B quinri.
si CO, cidemque occurrat ducta ab + per Cor. 16
vel ad candem Le, ret ad adecaRO Sic perpendicularis: crie
FIrpet qua e LO directrice K O, atque intervallo AL,
ad eandem efficientem, dictamre directricem perpendiculari, descri-
Bitur, juxca ea qua mene expolita sunt, taec ipla, qua delineanda
Propontus.
jus.
Ferzii.
A, puncto mediotansentis IO, recta AL in L, quae quidem AL.
Similicer ee vel datis snoilibet anculis mobilibus, vel.
76
ICA.