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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 116, page id 797435492:0188
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F18. 187
F18. 187
88
oo ac a
ZVI. Ad diamerrum C O describatur circulus C FHI. SF abO
radius incidat talis, ue cum ejus retlexus (ic DS, concingat FOre DS
= = DH, vel ZDI; polica C L ad D S perpendiculari (talis aurem
raclius facile duci posse concipiatur; e per curram appropriatam re-
vera ctatim determinetur; id proinde nos non distincbic). Exit cum
puncti Simago, puras, a punctoD intinice disjuncta; quoniam (id
quod tierinequit, nisHIo, oD sinc infinitxe) est 110, 5D:: 15.
SD. Tam in arcum D B cadat uccunque radius OM, cujus reHexus
(IEM A E; _ in haC IIMatUE M E = MF; tum in OM producta
capiatur punctum a, UE SIE F a. a M :: F A. A M; eric a puncti A
imago. limili methodo reperiaturs puncti R imago; neque non reliqua
corius hea s, iplam B S reterentis, puncta.
XVII. In hanc rero constructionem quaedam veniunt adnotanda.
2.. Ouod CSF C2. Nam 4C29 = C B9 = 35D9-.
C Sg. ergo quum sIEC ZC SD; erit CS = CL.
2. Ouod CAL CS. Nam (e supra monstratis) si ducatur
rectaM t ad DO parallela, ejusce retlexa (puta ME) secabit iplam
DS, versus l, puta ad E. ergo M E iplam C B secabic supra punctum S.
velur ad p. acqui quoniar ans. C. NO E= C.M b, PeH anS. CM A
 CMo, eAt C AL C8; adeoque masis est C AE CS.
3. Ouod E AE AM. CuM CnIM CIE FMI (Vel FM) = HID.
aEqueDSE M A; CFIE PM. M AC FD. DS: :2, 1.
4. Ilinc denuo signebit roram lineam B 5 a 0 ultra rectamm C B L
jacere. namm ducatur F O ad A M parallela est hicanS F C AL= an8
ACF. _E anS FO A == arS C AP. QuaPKOPTET exIE C F. F (L
CF. AF. adeoque FOE AP. ac inde FO. AMC AF.
AM; hoc estF R. RM = F a. a M. dividendoque FM. RML
FM. ~M. quare a M L RM. adeoque punctum a ulera R in
recta OR prorensa jacet.
ZVTTI. Ouod si ad partes alteras rectae OD ducatur radius O VV
cujus reslexus NOT =NV; sirque TC. GN = 23. a; Ratuen
da est puncti C imaso (puta V) ad partes 9. quinimo cum in hane
rem plura subjici possent, ego jam specimina tantum incticuens
(quippe cum opera dignum haud arbierer adeo tenvem materiam curi-
olius prosequi) a minutiis abstineo. quo ex inde pronior sum, quo-
niam in hac re copiolus videtur A. Lacquetns; Tubinde quidenr 15.
ob admistum istud talsum principium, celpicans, at bene multa credo
fugee