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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[11.] Lect. III.
Page: 40 (22)
[12.] _Corol_. 1. Ang. _a_ BG. ang. _a_ BP > ang. δ BH. ang. δ BP. 2. Ang. _a_ BG. ang. PBG > ang. δ BH. PBH.
Page: 44 (26)
[13.] Lect. IV.
Page: 49 (31)
[14.] Lect.V.
Page: 56 (38)
[15.] Lect. VI.
Page: 65 (47)
[16.] Lect. VI I.
Page: 70 (52)
[17.] Lect. VIII.
Page: 76 (58)
[18.] Lect. IX.
Page: 81 (63)
[19.] Lect. X.
Page: 87 (69)
[20.] Lect. XIV.
Page: 114 (96)
[21.] Lect. XV.
Page: 122 (104)
[22.] APPENDICVLA.
Page: 126 (108)
[23.] Lect. XVI.
Page: 129 (111)
[24.] Lect. XVII.
Page: 135 (117)
[25.] Lect. XVIII.
Page: 139 (121)
[26.] ERRATA.
Page: 145 (127)
[27.] Benevolo Lectori.
Page: 192
[28.] Lectio I.
Page: 194
[29.] Lect. II.
Page: 206 (13)
[30.] Lect. III.
Page: 217 (24)
[31.] Lect. IV.
Page: 222 (29)
[32.] Lect. VII.
Page: 249 (56)
[33.] Lect. VIII.
Page: 256 (63)
[34.] Lect. IX.
Page: 263 (70)
[35.] Lect. X.
Page: 268 (75)
[36.] Exemp. I.
Page: 274 (81)
[37.] _Exemp_. II.
Page: 275 (82)
[38.] _Exemp_. III
Page: 275 (82)
[39.] Exemp. IV.
Page: 276 (83)
[40.] Eæemp. V.
Page: 277 (84)
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139121 ellipſin jacent. Nam punctum K inter F & Z; ac punctum φ inter
O, & K; nec non punctum L inter G, & Y; atque punctum γ in-
ter O, & L cadunt. imaginis itaque φαγ figura ad ellipticam accedit;
eâ tamen aliquanto planior & compreſſior. non diſſimili ratione quo-
ad imagines ad concava factas, & quoad cæteros caſus inſtituetur
judicium. tædii plenum eſſet omnia ſingillatim percenſere. quinetiam
ê præmiſſis luculentè conſtat quo pacto linea φαγ præcisè deſcribatur,
punctatim utique. circa refractiones paria veniunt præſtanda; poſt-
quam tamen paullùm reſpiravero; nunc enim verbo quidem pauca,
rei qualitatem, ſtudiúmque demonſtrandis iſtis impenſum reſpectan-
do, ſatìs fortaſſe multa videor tradidiſſe. ‖
Lect. XVIII.
I. P_Ropoſitum eſt jam nobis rectæ lineæ ex refractione prognatas. ad_
_circulum imagines aeſignare_; nempe primùm abſolutas;
quorſum hoc ſpectat I heorema:
In circulum (e. g. medii denſioris) refractivum MBND radiet
recta FAG; huic verò perpendicularis ſit recta CA (circuli cen-
11Fig. 197. trum C permeans) tum in recta FG ſumpto liberè puncto F ducatur
recta FC; & in hac ſit punctum Z limes (qualem anteà fiximus)
radiationis à puncto F; ſit autem ZX ad AC normalis. porrò fiat
CA. CR : : I. R; & AR. CB : : CR. CE (ponatur autem
CE ad XZ parallela) tum connexa RE cum ipſa XZ conveniat in
H. dico fore XH = CZ.
Nam (è præmonſtratis) eſt FC x MZ. FM x CZ : : I. R: :
CA. CR. hoceſt FC x CM + FC x CZ. FC x CZ - CM
x CZ : : CA. CR. quare (ducendo in ſe extrema, mediáque)
eſt FC x CM x CR + FC x CZ x CR = FC x CZ x CA -
CM x CZ x CA = FC x CZ x CA - CM x FC x CX (quoniam ſcilicet

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