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# Title: [Ps. 1] (shelfmarks Leibn. Marg. 178, Stück 1; Leibn. Marg. 178)
# Folio 271, page id 175905688X:0293
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=175905688X&page=293
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.81
# 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.

a
choiden
id ipsi
onvera
3 betui
Olution
OcaluI
um VIuB
regulas
rochO
eiut
Nocari
od a
iaven
1acim 1
10iit
oradio
a191. 1I
Die
GOM MEHEARILEA LIORuNII.
272
ulostacit inaequales. Adeo ue hinc sequatur: Si speculum habe-
ri poltut, ex tali constans materia, ut rim radiorum, quos reflecte
ret, augeret aue diminueret (ommino ut oltendic, vicrum vim ra-
diorum, quos in se recipit, ausere, corumque retractionis caulam
CsC): ellene refexionum anguli non secus ac retractionum inae-
quales: d pollet eorum ratio mensurari per rationem, quae estin-
ter lincas A5 d AC, supponendo illam eandem esse, quae est in-
ter rim alicujus radii antequam in speculum incideret, de inter
vim, quam immediate postobrineret, cum esset reflexus.
Caeterum quoniam ad radiosper reflexionem ac retractionem
direrlimode decorquendos Sectiones Conica lingularem habent
ulum, atque specula de viera ad iplarum tiguram expolita miros
eftectus praebene: haud inopporcunum tore duxi, s, cum ad peni-
eiorem incellectum eorum, qua in Dioperica de higura vitrorum
ab Auchore lune ostenta, tum ad ulum eorum, quae de invenien-
distangentibus aut secantibus expolica lunt, deinceps hic adjun-
serem, quo pacto in axe puncta inveltisari possine, in quibusradii
Solis, postquam in superticiem concaram speculi Parabolici in-
Ciderune, aut per Fllipeica vel Hyperbolica ritra eranlierune, re
Rectuneur aue colliguntur.
TIE S Fuerie Speculumm,
habens figuram Parabo-
la AF. C, cujus axis (IC
MI A, _ vertex A: ad in-
veltisandum punctum L.
ad quod radius Solis FC,
qui ipsi M A eA paralle-
lus, reflectatur, postquam
in idem speculum incidie
in C, luppono, ut ante, la-
tuS reclittis cr, M A ∞Y, de TA ∞ Z. Ouibus POLILIS cum CX
superioribus PM sic ∞ = r, de A F SIC ∞ AM Scuy: Crir P Y ∞ L Y
 =y, ec PI∞=r F7 - 2. Ouoniam autem propter xquales
ansulos incidencia ee refexionis FC. HI de PCT, uc ex rectam
PC ipsi tangenei HIT perpendicularem, ansuli quoque FC P
et PCI Tunc aequales; acque horum quidem angulus FC P an-
sulo C PI lic aequalis: erume pariter arssuli P C Le C P I a qua-
les; lineaque L6, ipsi P C perpendicularis, rectam PC bita
2ta1