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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 108, page id 779785487:0166
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108
PF ZSICAE TR ACT. III.
30. hic es angulus retractionis,
gnem re hrabeas, producenda est
FO, in II; cadic aurem perpendi-
culariter in EB; cum duplica 19.
30. habebis 39. igicur allume ar-
CUI LII, 39. grad. iam si ducas li-
nea CI, haec crir radius refractus,
nempe angulus LTGL, eAt cantum
29, 30. Ve patet ex elementis; igi-
cur haberur arcus Gl, constar enim
ex GFI, 60. _ FI I39. isicur 99.
icemque EC, 21. II, est aequalis
E6; igieur D L est 12. igitur iam
ex his haberuL FadiuS FeFFaCTUS iIM-
merlus, itemque reAexus; ve autem
trabeacur emergens; dUCAnEHE PI,
FL, TTO; angulus IF. L elt 99. igi-
TUE FLII 40. 30. altumatur linus
rectus anguli 40. 30. 64945. Cirque
vE 4. 2d 3. Ica 64945. 2d 48708.
hric est sinus rectus anguli 29.9.
igicur decrahe hunc angulum Cci.
Licet PLO ex angulo 40. 30. reli-
duus exit angulus 12. 21. hunc ad-
de angulo OL.H, aequali Scilicet
FLI, habebis angulum PLH; igi-
EUE LP eM radius retractus cmer-
gens: denique ducarur HILM, Pa-
xallelaFC; angulus EsL continee
anoulum TEC, id est 21. _C FIL,
id est 40. 30. igicur et 61. 30. sed
ngulus RLO est aequalisEs L;igi-
EUF Si derrahaS PLO, id cst 11. 21.
Ex RLO, rClduUS CFIEKL P Ccili-
cer 50. 9. igicur polto quod AC
sic horizoncalis, excipies radium
PL, Tub angulo 50. 9. eleuationis;
catur AC, parallela FOFI; cum BD,
pari modo, allumpro quolibee
angulo incidentix, habebis verum-
que radium retractum, de angulun
elenationis.
Sexio, quod si nullo modo an-
gudus incidentix cognolcarur, 2d-
huc haberi porerie radins retractus;
Perpendicularis in AC; demictatux
CO, perpendicularis in AE, SIE VE
4. 2d 3. ita C9, ad aliam, v. 9. 2d
FX; ducaturque in FX perpendi-
cularis OZI; OI est radius retra-
Ctus; haec es proris C arcelii, quatm
tamen, cum doctis agens, minine
demonstrauit; ego in grariam Eyro-
num, illam brenirer demonstro;
sic enim radius incidentia F6; du,
Porro duo lunt hic demonstrandam
primum est, quomodo FX iCa ap.
plicetur, re cum radio retracto,
faciac angulum rectum; alcerum
est, cur potiro quod CO, lc ad
EX, VE 4 2d 3. GT SIE LadiuS sC-
Fractus dari radii incidentia FC:
primum lic demonstro; sIc ve 4. 2d
3. IFa 69, ad FX; id est GG.
diuidatur in 4. Parres aquales, et
eres tancum accipiaMEUIL, V. 8. F. 45
cum ex F, Fadio F. 4, delcribatur
circulus, in quem ex C, ducaeur
tangens CXI; cum F.X, haec haud
dubie perpendicularis ett, ve con-
Atac ex elementis: Secundum sc de-
monio; sc tangens (3, & 1a-
dio CE deleribatur circuluS; CerEe
anguli AEO, d F CFI TunE XGu3-
les; IgIEUE EIGZ, _ GEB etiam
aequales; igitur linus G, vel FY,
rel FI 2, Tunc aequales iremque F X,
et Z5; igicur VE 4. ad 5. ita 6:
ad FX; vel FI2 2d 25; igieuE LE
radius FO, cadar in eangentem,
vel planum 63, trangi debec in
65, Per n. 1. _ 3. igicur OI ett ra-
dius refractus guaelicus; hoc pot.
10, pari modo habebicus reAlexus
IE.  retractus emergens PL; (IE
enim Or, perinde. acque si eset
immertus, e inveniatur retractus,
iuxta praedictam methodum, et an-
gulus quem facie cum LI, eraduca-
Eur in PL.O; quomodo veto ex li-
meis