Barrow, Isaac, Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur

Table of contents

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[61.] _Probl_. IV.
[62.] _Probl_. V.
[63.] _Probl_. VI.
[64.] _Probl_. VII
[65.] _Probl_. VIII.
[66.] _Probl_. IX.
[67.] _Probl_. X.
[68.] _Corol. Theor_. I.
[69.] _Theor_. II.
[70.] _Theor_. III.
[71.] _Theor_. IV.
[72.] _Theor_. V.
[73.] _Theor_. VI.
[74.] _Theor_. VII.
[75.] Lect. XIII.
[76.] Æquationum Series prima.
[77.] _Notetur autem_,
[78.] Series ſecunda.
[79.] Not.
[80.] Series tertia.
[81.] Not.
[82.] Not.
[83.] Series quarta.
[84.] Not.
[85.] Series quinta.
[86.] Series ſexta.
[87.] Not.
[88.] Series ſeptima.
[89.] Not.
[90.] Series octava.
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page |< < (45) of 393 > >|
6345 ſpatium NR pertinentes intra ZV eidem occurrere; quinetiam nulli-
us
citra punctum M, vel ultra R incidentis refractum (ſeu nullum
citra
X, vel ultra V cum ipſo KN concurrentem) oculum ingredi
poſſe
.
quare ſaltem imago conſiſtet intra terminos VX; ſiquidem
aliunde
qui videntur emanare _Radii_ nihil quicquam ad viſionem con-
ferent
, aut ad eam ullatenus pertinebunt.
cæterum quoniam ab VX
procedentium
(apparenter, inquam, procedentium) reciſſimi, vel
axi
propriores velut ab ipſo Z procedere videntur (ſeu à loco qui
circa
ipſum) ipsíque proinde validiùs afficiunt oculum, &
ab eo
fa
ciliùs adunari, recolligíque poſſunt;
cùm & ii præ cæteris confer-
tim
irruant (illi ſaltem qui ad partes NR, ) quia denique propter
anguſtiam
pupillæ ſpatium VX haud ita magnum exiſtit;
cùm, in-
guam
, hæcità ſe habeant, omnino rationi conſentaneum eſt, dictam
imaginem
circa punctum Z verſari;
nec alias arbitror excogitari poſſe
veriſimiles
cauſas, quæ ſitum ejus determinent.
_Alhazenw_ quidem,
&
poſt eum pleraque cohors _Opticorum_ ipſam ad punctum K, ubi
principalis
refractus perpendicularem AB decuſſat, conſtituit;
ve-
11Fig. 62. rùm haud ullam rei natura cauſam ſuggerit, cur inibi ſtatuatur.
unicus
enim
(niſi ſaltem pupilla perpendicularem ipſam AB comprehendat,
oculuſque
valdè ſit ei propinquus) per illud punctum means radius,
afficiendo
viſui minimè ſuffecturus, ingredietur oculum;
eadémque
punctorum
intra KX ipſi K adjacentium eſt ratio;
nullus ſiquidem
ea
permeans refractus oculum attingit;
nil itaque ſubeſt cauſæ cur
punctum
A circa K appareat.
quin adhuc à vero magis aberrat, *qui
22_D. Hθbbiw._ faciens NH æ qualem ipſi NA puncto H affigit imaginem (huc, opi-
nior
, impulſus quia taliter in reflectione ſe rem habere perſpexit;
cui ſimilis cauſa fallor _Euclidem, Alhazenum, Stevinum_ (quan-
quam
ipſos in diverſum euntes) horúmque ſequaces, in _Catoptricis_,
in
errorem egit;
prout uſu non rarò venit _analogias haud bene_
_fundatas
,_ indiſtinctéque perceptas mortalibus imponere;
ſed utcunque
quod
dixi magìs iſta ſententia abhorret à ratione.
) nullus enim in
primo
caſu refractorum concurſus fit infra angulum ABF;
nullus extra
illum
in ſecundo;
proindèque fortiùs hanc quæ objecimus, quàm
priorem
_Alhazeni_ percellunt ſententiam.
addo quòd ſimul utraque,
ſed
præſertim hæc, multiplici refragatur experientiæ, multiplicíque
ratiocinio
;
pariter enim ſe res habere debuit in _Catoptricis_, ut &
in
_Dioptricis circularibus_;
id quòd maniſeſtè, longéque ſecus tam
ab
experientiâ, quàm à ratione compertum eſt.
quin hanc abunde
ſubvertit
ac peſſum dat quod ſupra propoſuimus experimentum, nemi-
ni
non obvium;
quod nempepunctum A, oculo in ipſo perpendicu.

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