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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 66, page id 175905688X:0088
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=88
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 47 lines, status machine
# Lines: 47 recognised, mean confidence 0.90
# 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.

66
CTE OME PRE A LFDER SECUHDUS.
lineis curvis, qua in superticie aliqua plana delcribi pos
vis in plana lunE; verum Facile est, qua de iis dixi, etiam ad omnes
alias reterre, quas imaginari pollumus tormatas esse,
moru aliquo ordinato punctorum alicujus corporis in
spatio erium dimensionum. Nimirum demiccendo duas
perpendiculares a quolibet puncto linex currae, quam
considerare volumus, ad duo plana, ad anculos rectos
se invicem secantia, unam ad unum, e alceram ad alce-
rum: quippe perpendicularium harum extremitates
sive supers. Lingula duas alias curras lineas describune, unam in
cie aliqua Uno, _ alteram in altero plano, quarum puncta omnia
modo suverius explicato determinari ac reterri pol.
unt ad puncta lincae rectx, qua utrique plano est com-
munis, ut hac ratione puncta currae, tres dimentiones
habencis, omnino sint decerminati. Iea etiam s re-
etam lineam ducere relimus, quae hanc curvam in dato
puncto ad angulos rectos secet, opus tantum eAt duas
alias rectas lincas ducere, unam in uno, e alteram in
altero plano, quarum lingula lingulas curras ibidem
lecent in punctis, ubi cadunt perpendiculares, gux a
dato puncto ad ucrum que planum sunt deductx. PEc-
sim postquam duo alia plana, unum super unam, e al-
eerum super alteram, crecta sunt, quae ad uerum que pla-
num, in quibus linea illae sunc, recta exiltane, eric ho-
rumm duorum planorum communis interlectio linca re-
cta guaesita. Acque ita arbitror me omnia cradidisse
Elementa, qua ad curvarum lincarum cognicionem
lune necessaria.
quod hoc de
liners cur-
superficie de
scripiis, di
cum fuit.
aplicari
dosit ad il
cas, qua de
Scribuntur
En spario
irium di-
mensionum
CHTVA.
+EO
1
pe
M