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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 48, page id 797435492:0080
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L. F C F.
CNo, angulo CNP aequari. 22. Accepro quovis in NM puncto
(puTa M) centrO C per M describatur circulus M O HI; item centro
F DeF M describatur circulUS M R EI, qui prIOrEM MOHI sCCCE
in HI; eric HIN a reRexus iplius MNP. Fitenim connexIS CM,
CHI. _ NM, NIHI, ex constructione liguet rriangula CM N, C HN,
invicem aequilatera tore; proindeque angulos C N M, CNH (d
inde reliquos M N R, HIN R) aquari 3. procensâ C NR, à quovis
in MH puncto, puta M ducatur MC ad C R perpendicularis, e
in hrac producta lumatur (HI = GM; erit conjuneta LIN iterum
reAexuS. Nam connexis N HI, N M pater angulos GNIM, CNTH
aquari. verum hi modi sufticinnt huic conficiendo pertacili negorio.
IV. Nocetur. Si Fuerit FINP retlexus ipsuS M N P ForC N  =
N. d.0
V. Dispiciamus jam primo quid ex hujusmodi reRectione contingat
puncto ab infinita quo ad sensum distancia radianti, seu parallelos
projicienti radios. quorsum, per circuli refectentis centrum C
protendatur indefinite recta A B C (hoc autem in sequentibus crirandae
repecirioni perpecuo factum intelligatur; quin ejusmodi recta nomi-
neturaxis; hic speculi, postea Diaphani) bilecetur autem semidiame
ter C B in Z; _ per L transeat recta Z Y ad C B perpendicularis.
indetiniteque prorensa; cum quilibet incidat axi parallelus radius
H. N P adN: (conrexo circuli nil retert, un cavo; nam in utroque
casu reflexus quoad directionem idem erit; vel ejus qui in hoc, iste qui
in illo producrus erit) connexâque C W iplam Z Y intersecer in V.
Earque C:K =CV; ducaturgue NYR; crit N R ipsiuS M N reAtex.
us (vel reflexi produerus). Nam ducacur NO ad C B perpendicu-
laris, e connectatur C P. eAtque C. Z. CR .: CC L. CV::
CO. CN. quapropter anrecedenres duplicando CN, CR::
PN. CN. item angulus R C es aequatur alterno CN P. croorri
anoula CKN, VIC P Similia TunE: adeoque R H = KC. ipitur e
suxra generatim octensis patet Fore RAI, iptius M N reHexu.
VI. Tlinc particularis emereir methodus hujusmodi quorcunque
reteros quari expeditissime designandi; quin e iplorum erga sc ra-
ciones ac respectus; nec non pleraque primaria sympromasa Facile
dilucescune; corollariis nempe lubjecris comprehensa
VII. Y. Pares punecum Z, Semidiamerrum C D bilecans, ette
metam
fig. 64