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# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
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LIB. III. DE REFRACTTOHE, _C.
pocest, longistime diffundicur,
Teruara Scilicer diftutionis regula,
de qua Cupra; ergo per eas lineas,
quae longissime produci pottune.
igitur per rectas; cum enim recta
a puncto, ad punctum ducta, bre-
vistima lIC, cerre breuior exit cur-
Va; ergo Ei aequalis curuxe accipia-
cur, longius profecto vlera pun.
ctum, priorem distanciam termi-
nans, excurret: deinde per me.
dium rarum radius per lincam re-
ctam ibac, igirur per densum, per
lineam rectam ibic; eM enim par
verimque ratio: deinde cur porius
in rnam, quam in aliam parrem,
in curuam lineam, inRecterue; V.
8. radius perpendicularis, denso
immersus; Ced de aliis cadem est
penicus rario, re constac: denique
E radii denloimmerh in lineas cur-
vas infectuntur, diftulionis regula
a nullo cenero accipi porelt, vi p2-
cet: deinde cur porius in vnam
curuam, quam in aliam; cur in ar-
cum minoris circuli, potius quam
maioris; led in se clarissima; diu-
tius quam par sIc, haereo; igirur
Cegmentum denso immertum, per
lineam rectam diffundieur.
PROP. ZZX.
Fsinc radius: ex viroque seemen-
1o constans, in angulum necessario
incuruatur: Cum enim verumque
Teomentum communi puncto sau-
dear; illo scilicer. quod duo media
connectie, ve perspicuum cA; &
cum Ceomencum denlo immertum,
per linCa FeCtAM CAE, PeF PFOP. 29.
nec tamen priori linex insiltat, ve
Supponitur per prop. 28. cerre de-
Aectere illud necelse est, vel sini-
Arortum, vel dexrrortum, hOc eR
vel a perpendiculari, vel ad per.
pendicularem; isicuE cum priOTC
seomento angulum facit; nam dux
linex rectae ConcurTenTES, quae li
producantur, libi inuicem non in-
lltune, vel qua (rerulgo dicieu)
in directum non lunc, angulu Fa-
Cimme; v. 8. Cc iadius incidens AL
cum leomentum dento immertum
non AC Z 8. cerre vel Z 7. vel Z7,
esse necesse est; hoc est vel ad per-
Pendiculum Z 9. ve Z 7, rel ab
eodem, vE 27; vides angulum
AZ 7, vel AZ7; ergo verumque
Cegmentum in angulum incurua
CIL.
PROP. Z Z ZT.
Radius ex raro in densum obliqué
incidens, non incurnatur à perpen-
diculari; Incuruetur enim, si Acri
Pocele, v. 8. AZ, in Z 7. Produca.
TuT 7Z, in V; certe V erit cen-
erum concurtus; per PrOP. 24. VE
constat ex dictis; IOIEUL CK CCNTIO
V, delcribi deberer arcus L7, quod
dici non porelt; quia VZ est ma-
ior VE; igirur radius oblique in.
cidens craro in denlum, a perpen-
diculari non incuruatur; led hoc
infra clarius octendetur.
PROP. XXZI.
Radius ex raro in densum inci-
dens obliqué, refringitur ad perpen-
dicularem; haec tuit prima hypo-
chelis, nam de Facto Cemper lup-
Ponitur, quod lc; nunc veropio
prer quid lic, demonstrandum est,
Sine duo radii AB, AZ, quorum hic
oblique, ille perpendicularicer, ex
mediocaro, in dentum cadac; e
AB per camdem lineam productanr
diftundatur in E; Cx centro A del-
CribAtUE aECUS E Z3 traud dubie
radius AZ ulrerius diffundieue per
PcOP. 14, 17. 18. 19. Ced pex eaM
EA MLM 3
dem