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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 49, page id 797435492:0085
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L B C T. VI.
metam intra quam nullus reflexus axem secat (vel perpendicularis
iglius reAexum BZ. ad Z terminari). quia Temper C. VE C.l.3
adeoque C RE C,Z.
VIII. 2. PAFCF CNCR H = R C.
3. Patet FOre P N (2C), CN, C R-:
IX. 4. Ducta tansente BT, productaque CNE, patet secan-
tem C Pdistantia C. R duplam esse; _ FN  = 2KL.
X. 5. Manifectum est incidentis ad F (hoc est ad distantiam 60 FiB. 64.
graduum à vertice) retlexum per verricem Btransire; proindéque
reflexos omnium intra BF incidentium axem intra spacium BZ decussa-
re: Sed omnes extra B F rellexos ultra B cum eo conrenire.
ZI. 6. Perspicuum est duorum hujusmodi quorumvis ad ea(dem fiie, 65.
aris partes incidentium (uE ipTOrM MNP, ORS) reAexOS (ut
ONR, HIRL,) productos se prius decussare, quam axem. Nam,
ductis CR, CN, eAt C PL CV, adeoque CLL CR. undene-
cessario rectae NR, R L, se decussabune, puta ad X.
ZII. Tiinc ipsi conrexis partibus incidenrium resexi, N Co RII,
anrortum procurrentes divergunt; adeoque nunquam uno plures
idem oculi centrum permeant. unde speculum conrexum unicam lon
binquiradiantis imaginem reddit.
XIII. 7. NIOtetuE autem angulum GZ R (vel R Z L) a duobue
retlexis comprehensum aequare duplum angulum N C R (hoc est
suplum excessum angulorum incidentix). Nam anG. R X L = anB.
ALR - 2HB. ARHI = 2 an8. AC R -. 2 anB. ACN = 2 an8.
NCo R
XIV. Pro Sequentibus hujusmodi Lemma proponemus: Intrian-
sulo quoxium AB C recta A D bisecet angulum B AC; dico FOrC F, 8. 66,
AB Y ACC 2 AD.
In Isoscele resclara est; in alio proinde sIE ACE AB; CentrO
que A per B ducatur circulus B X Y secans iplam. A D in X, _ AC
in X. Subrenta BZ ducatur, iptamque AC secet in V; hatque
VT ad AD parallela. denuo Tubrensa X Y ConnectaTuT. Fic quoni-
am ans. XV C. major est anpulo XPV, vel arpulo B XD, vel ipso
E