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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 30, page id 797435492:0054
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Fi8. 30.
L E C X. III.
ZVI. Eiinc punctum Z erit ipsius A (respectu oculi uspiam consti.
tuti) imaoo pertectissima. Siquidem imaginis rocabulo nit aliud in-
celliso, quam locum à quo plures radii (quor scilicer afticiendo visui
TuFFiciunE) Similicer divergere, seu dimanare videntur, atque cum à
primariis objectis diffunduntur. Proinde cujulris hoc modo radiantis
objecti locus apparens, vel imaso Facilime determinatur.
ZVII. Exhinc etiam eadem opera, visus imaginem adspectantis axis,
seu reflexus principalis (ilte nimirum qui per oculi cenrrum (puta C)
eransir,) _ refectionis (quod vocant) punctum dererminantur. Con.
nexanemperecta OZ erit axisilte; nec non ejus cum PF interleerio
I punctum reftectionis.
XVIII. Ouoad hoc refectionis puncrum unicam subjiciemus anno-
caciunculam. Radiante puncro A, de oculi centro O fixis manentibus
recta C acoptrica F F ponatur recrae cuidam O P parallela, sed alioquin
Ctu indeterminata; erunt omnia refectionis puncra in TTyporbola
Sic, inquam, A P ad O P perpendicularis, e bilecentur A P in X aF-
que PO in Y; d per X ducatur XC ad PO parallela, irem pex Z
ducatur X HI ad A P parallela; _ X C3, ZH concurrant in C; tum
Asmptotis CC, CHI per iplum O descripra concipiatur PTyperbele
ROS; haec per omnia refectionum dicrarum puncta transibir. Nam
utcunque dueta P. F ad P O parallela spperbolae ROS occurrat ad NI.
BE AUCaNtuY RCCEX AN, OH; dico angulum AN F angulo OpY F
aequari. Secet enim A P iplam F. P in B, dc ducatur OO ad AB
parallela. FF, ex Ayperbolae natura, est CD. CY:: YO. DN.
guare cividendo exit ZD. CY:: YO - DNI. DH; hoc eAOC.
CP:: NO. DH. _ permutarim OO. NO:: CY. DH. item
rursus ob CD. CY:: YO. DH, erit componendo CD + CY.
Cr: : 2O = DN. DNI. hoc est AB. CY:: BVI, DVT. vel
permurando AB. BNI:: CY. DN. quare eA O. NO:: AB.
BN. ergo recrangula rrianguta, OO N, A BN similia lunt; d patet
angulum ON Q angulo A N B aequari: C. F. D.
Mereri Caltem vel Fyperbolae gratia videbatur haec ejulce proprietas
odnotari; quin ex Analogix caula versus ea quax sequentur. Neque
de retlectionibus ad plana quicquam praeterea. Ad retractiones
cranseo.
GY.