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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 50, page id 797435492:0086
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F18. 67.
218. 68.
L. F C Y.
BV T, paret rectam V T angulum ZV C secare. item ob angulum
X YV obcutum, CA ZV = ZY =BZ. ergo BVL 2BZ; ec
TE 2ZD. Verum ang. VTC (major ipso TVB, vel ipto
DZB) est obcusus; adeoque V CL V T; itaque magis YC
2 Z D. ergo AB + AY + YC = 2 AX 1 2XD. hoc est
AB + AC F - 2. AD: O. F. D.
XV. Duo parateli radii rectius (vel axi propinquiirs) incidune,
co redexorum concursus ad axem libi riciniores Cuunt.
NEDE TUIIANEUE UECUNque parES arCUS NI RE, RZ, _ incidentium
MN, QR, V X reAexi NK, RL, ZM cum are conveniant punctis
K, L, MI; exIEMLL LR. Nam COneXA CN, CR, C X rectae
Z T occurrant punctis v, 5, 5. Fst itaque (juxta L emma pracedens)
CE- C. VL 2 C5; hoc est, CM + CRC. 2CL. quare CM
CLL CL -CR; hOC eAMLE LR: 9. F. D.
ZVI. Exhinc paret axi proxinguam lucem ab hujusmodi refectione
magis magisque constipari; maxime circa punctum , ubi pervendi
cularis iplius quasi refexus terminatur. Unde pocissima constatratio,
quare concaris a speculis ad solem expolitis circa punctum L Venis
accenditur; enimrero condensatior, inque spacium arctius quali com
pressa lux validiorem exerir vim, ac efficaciam.
ZVII. Ouinetiam ex his consectatur, longinqui puncti imaginem
oculo in axe consticura circa punctum Z consistere. Sit, inquam,
BCO axis Optiens; oculique diameter D s. (in plana nempe cir-
culi propolui Tita) hujus autem extrema permeent rettexi NRD,
V K s (ad incidences MNP, uV a pertinentes). jam abunde mani-
feltum est imaginem conspicuam intra XZ spacium verlari. Nam
alterius cujusris hinc, vel inde cadentis refexus Aseu ip(iuS RS, vel
50) oculum omnino transgredietur, adeo que nihil quicquam ad vilio-
nem ipsam, vel ad ejus quemcunque modum determinandum conterer:
id autem omne meriro tribuetur radiorum incra peripheriam N V in-
cidentium refexis; qui scilicet oculum ingredientes luo quisque modo
vilum aliquarenus afticiant. Quonium tamen ex his, qui propiores
axi rectius incidune oculo, magisque pollent idcirco;, nec non iidem
propterea Facilius ad unum in oculo punctum recolliguntur, prxe cxre-
ris etiam illi caterratim ingruunt; rationi consonum est ilthic praeser-
tim imaoinem consistere: Siquidem velur ab eo plures, ac efficacissimi
caclii videbuntur erianare. Subjicio, propter admodum exisuam pu-
pidla