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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 16, page id 797435492:0032
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E. P C F.
Ouod (licer breriis) conticeretur negorium adsumendo licut eadem
Thebis Arhenas, ac Athonis Thebas est ria, ita radium de rarotranle.
untem in denlius, perque densius restigia lua replicantem in rarum
nil aliud quam eandem semitam reperere; ut nempe (i radius ABDC
de raro cransiens in densius retringatur in a cn s. quod eriam hic ra.
dius a Cu se denliori recidens in rarum vicissim in AB D C retringe.
tur; quia tamen assumpium illud non nemini demonstrationis e ip
sum indigere videatur; Et univerlim, extremoque rigore sumprum For.
Tan haud adeo verum sir; majoris etiam eridentix caula; prelertimq.
dernum quoniam huic casei nonnulla quodammodo peculiaria lunt no-
tatu non indigna; quin addo quia praectare videtur effectum unum.
quenique propriis e causis deduci) separarim octendemus. Kursum
isitur radius ABD C, qua prius tigura donatus rarioris medii super-
ticiem F F incurrat. Curi igitur punctum B relocius procedere jand ra-
leat quam antea (medio scilicet illapsum promptiis cedenci) hoc. est
quam punctum D, necessario commutabitur rectus urriusque, quem
affectanr, motus in ei proximum circularem, circa punctum aliquod
in recta BD, puta circa Z; ita ut Z. D, Z B talem inter se proportio-
nem obserrent, qualem lingularis exigic horum in relistentia mediorum
divexlitas; urique licur in qua peaecesserunt; cum vero purctum B
ita circumductum deseripserit arcum BC, _ punetum Id arcum D s
puncto D ad scunc medium rarius ingredienti, celtabir ista moruum
inequalitas; adeoque sinul necessario deliner rotatus circa punctum
Z; amboque puncta B, D per dictorum arcuum cansentes 6 a s’n (re-
Etx L.6 Perpendiculares) quod proximum elt iter arripient. Rursus
autem, pariter ac in calu precedenre, rectae Z D,. Z B (velZ s, ZB)
proportionem exhibent, qua refractiones hujusmodi dimeritur; ha-
bent aure Z S, Z B scipsas, uc recti sinus angulorum Z Bd, Z s F.
hoc. est ue sinus inclinationis rectae A B ad sinum inclinationis rectae su.
quod propolirum fuir ostendere. Liquet aurem quod hic ang. Z s F
major est ansulo Z. B d, 2deoque quod retractus diversit a Per-
pendiculari
V. Advertendum cst Porro quoad priorem hypothelin, seu calum
radlii de medio rariori concendentis in denlius, cum semper, qualiscunq;
sic ejus obliquiras, medium densius Tubire; _ per ipsum incedore;
modo commonstrato. Simipliciter autem hoc, e abstracte. debet in-
celliei, nec uc accidencarium quicquam interreniat, qualia: Punt; opaci-
eas perspicuirari immista, figura diaphanum terminans, ejus crassities
inaequalis, aliud quid post volirum diaphani relistentium prOOVenS;
cujusmodi