Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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<
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<
s
xml:id
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echoid-s6942
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xml:space
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">_Hujuſmodi Vitrum Myopes juvat;_ </
s
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<
s
xml:id
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echoid-s6943
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xml:space
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">pro quibus ità conſtruatur:
<
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</
s
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<
s
xml:id
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echoid-s6944
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xml:space
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preserve
">ſit ZD diſtantia, ad quam optimè cernunt; </
s
>
<
s
xml:id
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echoid-s6945
"
xml:space
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">ſumatúrque ZB utcun-
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que paullo minor quàm ZD; </
s
>
<
s
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echoid-s6946
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xml:space
="
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">& </
s
>
<
s
xml:id
="
echoid-s6947
"
xml:space
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">fiat CB = {5/8} ZB; </
s
>
<
s
xml:id
="
echoid-s6948
"
xml:space
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">tum centro C
<
lb
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per B deſcribatur circulus EBF, & </
s
>
<
s
xml:id
="
echoid-s6949
"
xml:space
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">centro Z per D circulus GDH
<
lb
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deſcribatur; </
s
>
<
s
xml:id
="
echoid-s6950
"
xml:space
="
preserve
">ipſi (Superficiei GDH oculum admoventes) punctum
<
lb
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A diſtinctè ſpectabunt, velut ad Z ſitum.</
s
>
<
s
xml:id
="
echoid-s6951
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</
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<
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<
s
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echoid-s6952
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xml:space
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">Quod ſi velit _Myops,_ ad diſtantiam itidem ZD diſtinctè cernens,
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aſſignatum punctum A contemplari; </
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<
s
xml:id
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echoid-s6953
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xml:space
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preserve
">adſumpto, ut prius, liberè
<
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puncto B, fiat CB = {2 AB x ZB/5 AB - 3 ZB}; </
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<
s
xml:id
="
echoid-s6954
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xml:space
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">& </
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<
s
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echoid-s6955
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">reliqua fiant, ut priùs.</
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<
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<
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">_II._ </
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<
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">Dati puncti A perfectam imaginem, etiam ope lentis concave-
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<
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xlink:label
="
note-0121-01
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xml:space
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">Fig. 164.</
note
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convexæ, in datum aliud punctum Z lorginquius projicere.</
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<
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<
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">Fiat AZ. </
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<
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<
s
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">: 1 - R. </
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<
s
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echoid-s6963
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">R. </
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<
s
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echoid-s6964
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xml:space
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">item dividatur AD in C, ut ſit CD.
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</
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<
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">CA :</
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<
s
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">: 1. </
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<
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">R; </
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<
s
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xml:space
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">& </
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<
s
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echoid-s6969
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xml:space
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">centro C per D deſcribatur circulus EDF. </
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<
s
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echoid-s6970
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xml:space
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centro A, quopiam intervallo AB (minori quàm AD) deſcribatur
<
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circulus EDF; </
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<
s
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="
echoid-s6971
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xml:space
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">factum erit; </
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<
s
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echoid-s6972
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xml:space
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">nempe lens EDF puncti A ima-
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ginem in punctum Z projiciet.</
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<
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echoid-s6973
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</
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<
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<
s
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echoid-s6974
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xml:space
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">Datâ CB, puncta A, Z viciſſim è propoſitis innoteſcunt.</
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<
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</
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<
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<
s
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echoid-s6976
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xml:space
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">In vitro, ſi CB = 15, erit {ZC = 9. </
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<
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xml:space
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">\\ ZB = 24.</
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<
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<
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">{AZ = 16. </
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<
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echoid-s6980
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">\\ AB = 40.</
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<
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</
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<
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<
s
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echoid-s6982
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">Itidem & </
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<
s
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echoid-s6983
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">hîc, perlentem EF verſus Z tendentes radii in A refrin-
<
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guntur.</
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<
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</
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<
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<
s
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">Hinc _Presbytis_ utile conficiatur _Vitrum,_ hocpacto: </
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<
s
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lum ZD hi diſtinctè videant. </
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<
s
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xml:space
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">Secetur ZD in A, ut ſit AD = {3/5} ZD.
<
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</
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<
s
xml:id
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xml:space
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">item ſit CD = {5/8} AD (vel ſit CD = {3/8} ZD) centróque C per D
<
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deſcribatur circulus EDF. </
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<
s
xml:id
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echoid-s6989
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xml:space
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">item utcunque ſumpto puncto B (citra
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D nempe, verſus A) centro A per B deſcribatur circulus EBF. </
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<
s
xml:id
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xml:space
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<
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lente EF dicti _Presbyta_ punctum A diſtinctiſſimè conſpicient.</
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<
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<
s
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xml:space
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">Hiſce demum in cumulum adjiciatur ab amico communicatus _Modus_
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_elegans ac expeditus cujuſcunque caſûs imaginem Geometricè deſig-_
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_nandi; </
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<
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<
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">lentem deſcribendi, quæ imaginem in datum punctum_
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_projiciet._</
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<
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<
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<
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</
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<
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<
s
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">E centris, & </
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<
s
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<
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xlink:label
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note-0121-02
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">Fig. 165,
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166, 167.</
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tur ad axin perpendiculares Kj, BP, DQ, CI; </
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<
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<
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A ducatur quævis recta API ſecans BP, & </
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<
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<
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</
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<
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<
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<
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echoid-s7007
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<
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">agatur recta RP ſecans DQ, & </
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<
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">K ρ in Q, & </
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<
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K ρ. </
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<
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<
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<
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<
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echoid-s7015
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">agatur 1 Q, quæ producta ſecabit axin in Y, loco
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imaginis quæſito.</
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