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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 23, page id 797435492:0231
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=797435492&page=231
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 26 lines, status machine
# Lines: 26 recognised, mean confidence 0.94
# 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.

E C T. II.
plicenEE ReCtX AZ, BZ, CZ, DZ. ad iplam V D perpendiculares
e aequales sinsulx lingulis in cono circulorum radiis per ealdem li-
terasdelionatis; hiet autem in hroc casu Sparium V DZ. criangulum,
quia rectae AZ, BZ, C. L aequaliter à se distances a qualirer increscunt,
id quod triansuli axplicatis omnino proprium est. Hlujus autem
ixianguli, ex datis alricudine V D ec bale DZ, dimenlio in prompeu
est. Ouod Eitiacut circuli radius: Ad circumterentiam ipsus, ita
trianenum V D Z ad quartum, erie hoc quartum aquale superficier
sonicae proposita. Fodem plane mmodo perquam Facile Sphaerae, Sphaeri-
carumque portionum Superficies (nec, datis et praecognitis iis qua
requiruntur, alias quassibet hoc modo natas) inrestisare licet. AF
mihi propolitum est generalioribus rancum intraerere. . Ilanc autem
magnicudinum genelin xmulatur, e aftinitare quadam contingit iste
mocus, quum circa rectam lineam, (aut quidem circa quamris
aliam) Cumiles innumerxe linex, vel figurx parallelo juxta se situ
dispoliex talicer constituuntur, ue singula cenrrum suum habeane in
dicta linea, jua proinde canquam axis rationem subit, ac ralis deno-
inatur. Ouomoco, c. c, inorlindris oblignis, inque conis Scalenis
circuli circa lineam quandam rectam consistunt; qua propterea dicitur
iplorum axis, quoniam in ea circulorum parallelorum centra ex-
istune. Sed ciim motus ita distortosnatura non capiat (Palrem jaxta
modum operandi simplicem quem nunc supponimus) de quia possunt
hujusmodi magnitudines ut modis aliis genitx Facilius concipi, de iis
abstincbimus. Neque non de magnicudinum pex motus simplices
effectione sufticier hactenus disseruisc.