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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 83, page id 797435492:0135
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RrC
NRF: _0
L. E C Y. ZII.
NL L: Z ∞
=WX; item est-
=C2. erit ergoarc FiB. 124.
NR. NX:: NZ. GZ. quapropter erir (juxta pracedentem)
NL. CZ = NO. N F -+ CF. C6.
VIII. Porroliquet punctum Z ene locum imasinis, quem expe-
timus, oculo conspicux in recta N constituto; utpote circa quod
viciniorum ipsi NP radiorum refracti ipsam N a interlecant; qua de
re multories esimus, ut piseat eo plura Ca onorcir.
IX. Facile rero, Secundum Theorema praemissum, designatur
vunetum Z. Ducacur nempe C. C ad retractum NR perpendicula-
ris; e ad connexam C N ducatur perpendicularis C+V, _ per V
ducatur V Z ad C R parallela, secans iplam N K in Z. Factum erit.
Nam, connexa C E, liquer angulos GF C, GHC (circumdueti Fig. 125.
nempe per NI, B, C, C circuli subten(xe C F: insistentes ambos) aqua-
ri; hoc cst ansulos CFC, VOC requari. Quaproprer (utrique
rectum adjiciendo) cori N F G, Z C V aquaneur. irem alterni
ONE, VZC aequantur. ergo triangula CN F, V ZO Cimilia Tunt,
unde NO. NF: : Z V. ZC. itaque. C F. CC 1 NG. NF =
CF. C C + ZV. Z C. verum (ob retractionem) est NR. RC
:: I. R:: C F. CC; hoc est NZ, ZV:: CF. C C. est igieur
CF. C6 - + NG. RIE = RIZ, ZV + ZV. ZG. HOC CAC F.
CO + NG. NF = NZ, ZO. eroo punctum Z conditionem
obtinet, imaginis loco congruentem, e mox oltensis. adeo liquer
propolicum.
X. Ouin Subnoramus rectam NY K ad punctum Z ita dividi, uF sIF
NZ. ZR:: NCg. CC9. Erenim cA NZ. ZK:: NV. VC
:: NV4. VO9:: 169. C69.
XI. Subjiciam de hoc e dictis consectarium Theorema:
Fiat V 3R9. VTg - Rg:: CB. CO; ductâque ON ad
CB perpendicularis circumferentia occurrar ad N; radii vero MXY
ad CB paralleli refractus (ic NK, circuli peripherix denuo occur- Fig. T26.
rensin Z; dico punctum Z. ese imasinem, qualem mox detinirius,
oculo conspienam in ipsa NN R (IO.
Nam (ductis C F ad MINI, _ CC ad N Z perpendicularibus.
ae juneta CN) ob 3R9. I9 = Rg:: CN9. NEg. hoc ett
BCC9. CEg CC9:: CN9. NVFg; erir diridendo +C 69
M 3