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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 102, page id 797435492:0162
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Fis, 260.
F6T, 1620
1e. 163.
L. E C Y. ZIV.
ZVII. Ad lentem concavo corvexam divere.
ZVIII. Ad lentem convexo. concavam convere.
2
Si Acadat extra BC, fiat AB-  AC. AB:: BC. BZ; IIn A
cadat inter B, _ C; AaE AB -F F AC. AB:: BC. B2.
1. Jam cum Z cadit exEra DR, tum primo (I p RZ C= DZ, Fac
RZ - D. Z .DZ:: DR. DY, _ cape D Z adversus A.
2. Secundo, si  RZ =DZ; imago intinicé elonsabitur.
3. Tertio,   XZ= 3DZ, FaC DZ, pRZ. DZ:: DR.
DY; _ sume DY versuS A.
4. Sed quando Z. inter D, SC R cadlic, Hat DZ. 1- FKZ. DZ::
DR. DY; _ accipiatur D Y versuS A.
Flisce subnectam sequentia; non contemmendum in Ency seopicis
ulum prx se Ferencia Problemata.
I. Dari puncti propinqui A perfectamimasinem per lentem concavo-
convexam in aliud datum punctum Z lenti vicinius projcere. (per-
fectam imaginem intelliso, qua retultat ex omnibus, quos ixtum A
diftundit, radiis in ipla readunaris.)
Fiat I = R. R:: AZ. Z B. _ diridatur Z B in C, ut sIE C B.
CT:: I. R. tum centro C describatur circulus FB Fi. item CentrOZ
interrallo quovis Z D (majori quam Z B) describatur circulus CD II.
factum exit, nempe lens P. FB H puncti A perfectam imaginemin
punctum Z projiciet.
Nota, data C B puncta A, Z c propoliris Facile determinari.
Invitro, SCB = 25, Crit S2C = 9 2  SAZ = 16.
DZB = 245 CAB = 40.
Aduoretur etiam per lenrem EC A F ad Q cendertes radios ad A
retringi.
Hujasmodi