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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 93, page id 797435492:0149
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E E C F. XTII.
manibust. proxter alios qui similia volet, ipse viderit, ex sibi para-
verit. Cg0 jam alio prosredior; eo scilicer, ut locum detiniam
imaginis in dato quoris refracto apparentis; praeterrehemur enim
illud in his certe casibus intricatissimum Problema (cujusque Solutio
nublarenus aut laborem quem exisit, aut temporis jacturam compen
Cabic) quo jubetur per datum punctum cranseuncem retractum delig-
nare. Politione datum isitur retractum accipimus; ec in hoc ima-
ginis locum ex hoc uno Theoremate determinamus.
XXIV. Duorum incidentium ANP, A R S sibi quam proximo. F18, 1460
rum concipiantur refracti PT~, R∞ Pele puncto Z decussantes. bise-
centurque subtenla NP, _I a punctis F, C; (a rectis nempe C F
CCadillas perpendicularibus) dico rationem D Z ad CY e rario-
nibus C F. ad C C (hoc est l. R), AC ad N E, ac AN ad AF
componi.
Ducantur enim C R ad RS, _ C lad Rs perpendiculares; in
oue productis CF, C O CapIantE C F = CK; ∞ C II-C1.
EE Per F duICaTUE TV ad N P parallela; _ per LY etiam Z Y ad N ∞
parallela. Tam est A P. A NV:: arCPS. arC N R (ob sumPEaM.
arcuum indetinitam parritatem). ergo
aFCP S F: aEC. VYR
APF: A B
.AN::
.aec NR. hoc est AF. ANI:: ArC NTF. AKC
NR. item est NZ. Z 8:: ArC NR. arc ∞0. ac inde NZ.
NZ L: Z ∞
arC NR : 288
o: aFCNR.
.
thoc est AZ. ZO:: arC. + Fect. 93.
NR. aEC N X. ergo, rationes requales adjungendo, est AF. A PY
 NZ,ZC = arc NVT. arc NR -s aeC NR. drC NI X = aec
NT, arC NX. guoniam autem e(F CF. C C:: (I. R:: C~ R.
CT::) CF. CTI. vel permutando CF. CF:: CC. CHI; erit,
A
Num. I1..
oxta praemonstraca, arc NT. arc N X = NIO. N F- C F. CC, +F2 Lect
QuapEOPEeK erIE AF. AN. J. NZ. 2O =NC. NF -+ CF. Num. 6.
C.O. unde (rationes hinc inde pares lubducendo) erit NL. LC:3
I C F. C 6 Y NO. NYF 1 A N. AE. Ouod provosicum tuis
octendere.
ZZV FinC, SI Hat C F. CG:: RYF. L; _ AN, AC:: L.
M; Crit NZ. Z.C:: N C. M: NaM NC. NF + CF. CG
= AH. AF = HO. NE F HIF. L.  L. M = N C1. Nt
unce