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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 468, page id 779785487:0526
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46E
PAZSICE TRACF. IV.
tamen crelceret angulus retractio
nis; quarro, non crelcere angu
lum retractionis, in ca proporrio
ne, in qua crescie densitas, Ve Pa-
TeE; nam V. 9. Sc angulus retra.
ctionis 30. Grad. Si allumatur den-
licas cripla deberet esse 90. grad.
igitur radius retractus cum per-
pendiculo concurreret, quod dici
non deber; igicur laec progresio
crementorum anguli retractionis
non debet accipi; IVIXTA PFOPOE
tionem crementorum densicacis;
non debet etiam accipi, positoeo-
demmedio, iuxta proporrionem
crementorum complementi anguli
incidentiae, quod repUgNAE exPE.
rientix; guinco, progrestionei
crementorum anguli retractionis
tieri secundum aliquam pFOpOE-
tionem, quae certe non ridetur ac-
cipe, nia in linubus rectis; v. 8.
sinc duo radii IBR, DBR; Si sup.
ponatur idem medium, intra AC,
producentur radii per BR, BR;
_ vero intra AC, medium cst den-
LiuS, BR accedet versus perpendi-
culum BFL, icemgne BR; e s creI.
cat densitas, veerque adhuC PFO-
pius accedet ad BHI, eum qua ta-
EIen Bungnaim COnCuEreE, nIII den-
litas sic intinicas ioieur vecique
proportionalirer accedit; acqui
inentura accelluS CA fIMWS; IOIEUE
Peruatur Temper eadem mentura-
ruim proporrio; v. ∞. mentura ac-
cessus BR, CA LInUS RV: accestirS
aucem BH, CAR L; Sed vbi BK aC-
cesIC in BI, e BR, in BB, menSU-
a acceTuS Hrius est P Z; ilLinS re-
eo. TMI: ergo ve Le habCERV, 2d
RL, IF2 PZ, 2d LMI; ISICUE VE RV,
ad PZ, iTa R C, 2d LML; Scd pFO.
Fecto, licericares habeat; quando
eio arcuum e linuum; ve diximus
in Cynopl, rbi rero arcus maioies
accipiuneur, dicta proporcio non
Ceruatur, aut Calcem seruari mini-
me demonstratur; quia canen re-
Tractionum res, ad rlum, in paruis
arcubus accipitur, praedicta regula
ad rlum adhiberi porerie.
C O R O L L.
Fx peaemissis; mulca colliso, ac
cumulenarim congero, allumpeis
Scilicet paruis arcubus nimirum in-
r2 srad. 30.
r. Daro angulo incidentix, ds
refracto, iph relpondente, dacoque
altero ansulo incidencix, detanire
Cacim angulum retractum ipli co
Petencem; v. 9. sc angulus inciden-
tia ABC; complementi, EIBR; setra-
Ctus, HIBP; sic alius incidéria ABD;
complemeri, LIBR; HIEqUC VERV, ad
PZ, Ita KL, ad TMI, ducacurque BI,
cerre LIBI erir angulus retractus,
competes angulo incidentia ABD;
quomodo vero applicetur lines
ME, Facile dictu eAt; Sc enim BZ
quarra illa proportionalis inventa,
ducacurque ZI. Parallela BFI, cum
TMI, par allela BC;
2. Daco angulo iricidentix, cum
Juo angulo retracto, datoque alcc-
ro angulo retracto, invenire ansu-
lum incidentia cui compecie; LIE
anoulus incidentix ABT eumm (UO.
retracto EIBB, sic alius retractus
EIBL; AIEGUE VE PZ ad RV ica IM
2d REL, dIICAEUEqNCKBD, ccceribi
ABD, angulum incidentix quaesicu
3. Datis angulo incidentia, es
retracto ipsi comperence, detinire
angulum refractionis; derrahatur
retractus, ab angulo complemenri
anguli incidentix, ee reliduus crir
eadem tere est, sciliser phylice ra- angulus retractionis.
40. du anlio.