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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)
# Folio 464, page id 779785487:0522
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Fig. 30
464
PH YSICK TRACT. IV.
porrionales, cum radiis DA, EA; Sed E F est pauld maior; ioitr sie
Ced OZ aliquanto minor cs, quam
PaF CE;igIEUE SIEFY, 2d DZ, VEFA,
ad DA; Flinc radius AZ incuruarI
debet in Z y; itaque licec huius.
modi linex elliples nOn HIE nec
parabola, pro parabolis ramen, vel
ellipricis aguiualenter accipi pol-
Cune, in ordine Ccilicet ad rem phy-
Licam.
Porro duo fune, quae maiorem
Force explicationem deliderare vi-
dentur, primum est circa id, quod
dixi, arcus ellipricos minores, vel
interiores, accedere propius 2d aF-
cus circuli, quam maiores, vol exre-
riOTCS; V. 9.  II, quam DZ; Q hunc,
quam F 3; quod certe ex ratione
praemilsa colligieur; nam vbi minOe
est radiorum difterentia, ad circuli
arcum propius acceditur; led de
hoc viderint Geomerrae, cum mul-
tam Gcometriam postuleE; CCrEUIM
enim est dere, quod hc; quia Cer-
cum es, radium retringi ad perpen-
dicularem, per ITypoch. I. cerrum
est criam legem dittusionis seruari
per ax. 5. cerrum est etiam poliris
elliplibus concentricis similibus,
arcus lectos a linea ex centro com-
uni duea esse limiles, _ pFOpOr-
tionales; ioitur inde concludo, cum
radius incuruerur, elliples inte-
riores esse dissimiles, et obrulio-
res; Led ve hroc clarius cuadat, (IE
quadrans cllipleOS ADE; SIE qua-
drans minoris, e Cimilis, AMC.
ducatur recta AIF, CerTE aECIIS
EF, MI, Tune proportionales Fa.
diisFA, MIA; SIE aliuS quadcans
AMB ellipleos obrulioris; d PFO-
pius ad quadranrem circuli acce-
dentis, hand dubie aECuS MK eA
minor MI; igirur MA, LA non
Cune proxorrionales, cum MK, FF;
FFI, ad MK, VEEA, ad MA; vi-
des radium AK rCFringI II RFL, XC
hoc erar alterum capue, quod ma-
iorem explicationem postulabat.
PEOD. ZZZ VTI.
Radius obliquius ex raro, in deu-
sum incidens magis incurnatur; a
que adeo angulus refractionis maior
est; Ratio paret ex dictis; sic enim
radius incidentix AR InCUTUaEIIS.
TeI FCFFACEUS I RET; St aliuo ini-
nus oblique incidens AV, inCUIE.
uacus in VZ; dico angulum FIR F
else maiorem anonlozVY, quod
Facile probo, quia cum angulus re-
Fractionis ed maior AIF, quo plus
derrahitur areni exterioris ellip leos
DEE, re componatur rario arcuum,
cum ratione radiorum; certe po-
Cro radio ARF, pliis derrahendum
est, ad praedictum effectum, ar-
cui EF, quam polico radio AVY.
arcui EY; quia delcripto Lr qua-
drante ellixeos similis FD, radius
AKE SCCAE a_OS AECUS MIK, MI; e
radius AY, d105, EV, LZ; Ted ma-
ior est proporrio MI, ad MK, quam
LX, adEV; nempe isti duo ac-
cedune propius ad aequalicarem;
igitur minus derrahendum CA FY,
quam LF, ad componendam racio-
nem arcuum, cum Fatione diame-
trorum, vel radiorum, vel distancia-
rum a centro communi, scilicer in
Derpendiculo FA , _ vero sIMR.
MTessent aequales, nihil penicus
decrahendum cler aFCHI FF, nec
radius inCUTLaEetUT, quia cirr2 vI-
lam ineuruarionem lex dittulionis
TerHareruT; idem dico de LV, LZ;
igitur quo minus recedune aICuS
2b aequalirare, minis radiuS INCUE.
MaTUF;