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# Title: Où il répond à plusieurs difficultez qui luy ont esté proposées sur la Dioptrique, la Geometrie, & sur plusieurs autres sujets (shelfmark Leibn. Marg. 43:3)
# Folio 260, page id 82327652X:0288
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=82327652X&page=288
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
# Lines: 41 recognised, mean confidence 0.91
# 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.

260
LF T
T RF S
primo ad vlcimum; e rupris omnibus asymmetriarum obF.
cibus, recta D H, in figura, sic aequalis rectae M. Vnde
pacet punctum Diaclasticum ica inveniri, ( ductis rectis C V
ex CF, tar ve relistentia medii densioris ad resistentiam
medii rarioris, sive ve B ad MI, ica recta F D ad rectam D
Hl; Lc a puncto II excicetur recta FII, ad Diameerum
perpendicularis, e circulo occurrens in puncto I, quo re-
tractio vereie; Ideoque radius a medio raro ad densum per-
cingens transetur versis perpendicularem. Quod concruie
omnino e generaliterinuento Theoremati Carresiano, cu-
jus accuracissimam demonstrarionem, a principio nostro
derinacam, exhibet superior Analy(IS.
Propoluie Doctisimus Carresius retractionum rarionem,
experientix reaiune consentancam, sed, eam re demonstra-
ter Postulanie, e necesse omnino fuie ipsi concedi, Lu-
minis morum facilius ec expedicius hieri per media densa
quamperrara; quod Lumini ipsinacurali aduersari riderur.
Nos icaque dum a contrario axiomare (morum nempe
Luminisfacilius ec expediciis per mediarara quam per den-
saprocedere) veram refractionum rationem deducerecen
tamus; In iplam camen Carrelii proportionem incidimus;
Anaurem concraria omnino vid eidem veritaci occurri pollie
àgnoziscs, videane ex inquirane subeiliores ex leveriores
Geometra. Nos enim missa Maraocheenia Parius existima.
mus vericare ipsa indubitancer pociri, quam superouis et
Frustracoriis concencionibus ee iursiis diucius inharere.
Demonstracio nostra rnico nicitur postulato; Nacuram
operari permodos ec vias Faciliores e expediriores; ica enim
aimuo concipiendum censemus, non ve plerique, nacuram
per lineat breuissimas semper operari. Ve enim GalilXus,
dum morum nacuralem grauium speculacur, rarionem ipsius
non eam spatio quam cempore mecieur, pari ratione non
breuissima sparia aur lineas, sed quxe expediciiis, common
dius, ec breuiori cempore percurri possine, consideramus.
HIoc supposico, supponaneur duo media diversx naturX
ix primatisura, in qua circulus A EH B M, cuins DIRHCTCF
te
CTUII