# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068531:0096
# Permalink to this reading: https://leibnizlegible.com/page/00068531:0096?run=74
# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 48v, page id 00068531:0096
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 45r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068531&page=96
# Source image: https://digitale-sammlungen.gwlb.de/content/00068531/jpgs/default/00000096.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
# Lines: 37 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

praerea supponendum e rudies qui mudunt in suporteriem auvori
einde resnngi ac si imuderont in superticiem planam qua contingenit
cruam sn puncto ipso, mudia, in od nunirum radius mudd. ex caa
Si AA e iotrum spharium, radius B A retumus Aur vertus D.
peinde ac si mudisset in votrum planum cuus sapestices a s tangeret
s
sphaeram in punoto A.
praterea experra compertum hemu qd o aa votri aquuloler
retringunt. Contra voro certum e alia aliit apucora ad retimgendos
radios aut ad maiorem retructionem efscuendam, ita ut mula corta
regula hac in parte assignari pods. his à prasupposous qeomolnce
demonsrantur e figura apta ad clligendos radios in onumpunttum
desit hiop, aut delorquendos ea rade qua supra explicutum e , on si lnea
quodam describatur oec sili hb1 stant extremstatibus sili asiris
ad punctum h et 2 cuspis seu calamus aequaliter semper solum
intendens Luundum longotudinem sensum producendo dueatur a b in p
et a d in g ex, hoc linea quam dabit hoc modo circundusa
cuspis aut cal calemus ellopsis ent et ses eus ponetates
hebit aboibus hact enuae gemetris explecatas quicuns de conius
sectionibus senpterant. n adlumendo qodam punctum b in-
corcumteria linea ghd linet hb et b1 simul sumpra sunt
aequales mxa diametro dh. 10. si per sllud paxotum b ducatur
tangens cde, angule d e, et cd h erunt aequales, ac
moinde huic tangenti duotu perpondiculans diuidet ongulum
hb2 in ducas partes aequales. d: si extendatur ib vossus
0 claut 30 sct aequotes ipse h b, tota linea 10 aequolis ont
mnae diametro k d. G. deniqst h0, erit parahela linet du.
Dico itaque sam se linea haec circumducta circa mam dimtrum
dk soledum ellipticum generane cencipiatur, id que iit neum sit
aut crystallimum gd aptum sit radias ea pportin resingere,
conterte arter
qua pportione menor e pars diemetri si
focas ipla deanetro tola k d, duco, inquam, t allum
ejus mode tomminat am exiptica supertive radies lumines vonientes
apartibus a (se tomen sint sili ma diametro d K poralili
tes) ita excepturum, At eos retimgendo colligat in Choc e
in foco elloptis altero remetion. Hoc carthesius o feliciosisane