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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 61, page id 797435492:0101
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L B C F. VTTI.
C AN = an8. NCR - J. NV AR. itaque rurHIS aBB. R ZL =
2 an8. NC R -: ars. N A R. Siguene isitur qux propolica lunE;
in ulum (s FOrrC) sequentium. pro quibus iridem haec piopomenda
TunE.
XIV. Etiam palam est c dictis ip(o5 resexos C N, II R directe Fig. 83.
procurrentes à se divergere; adeoque duncaxat unum tiujusmodi re-
Aexum oculi centrum trantire; consequenter e puncti Atantumit
nam a conrexo speculo imasinem extiberi.
ZV. Temmaria 1. Sint quaecunque eria quanta A, P, C; primo-
que sic A. BF B. C; dico FOrE A + CE 2B. POnatuE enim
tore A. B:: B. F:. erit ergo A F. F C 2B. quinetiam exit exgO
B. EL B. C adeoque CF F. ergo magis A + CC 2B.
2. Sic (iildem achibiris quantis) secundo A - . C - 1 2 B. dico
Fore A. B = 1 B. C. nam sive dicatur esle A. B:: B. C. vel A. B
B. C. Sequetur verobique Fore A L CC 2B; contra hypoche
lin. itaque pocius est A. B 7 B. C.
XVI. Ftiam hoc adjungo. Si duo sumantur ad casdem axi partes F18. 84
circulique convexa parte comprehensi) sibimet aequales arcus NIR.
RX; S ducantur rectae AN, AR, AX; erit ANg-, AX9
E 2ARG.
Nam dueaneur C DI, C R, CX; _E demittantur ad A C perpen-
diculares N F, R F, XG; CINE IreM NP, RO ad A C parallele
ducancurque Sabcen(X NR, RZ.3 e quoniam ang. L Z =
ang. NRP; PATCE esse RRZ. RO = ~ NR. NP; adeoque cum
RX == NR, CxIEROE NP; Hoc eA EOC F.F, ergO2CF
E CF = C C; UndC 4 A C X C FE 2ACXCF - L 2ACK
CC atqui est A N 9 = ACg. s C N9 - 2 AC X C F. _ AX9
= AC9.J- C N9= 2 A C X C C. _2 AR 9 = 2 A CG  sn
2C N9 = 4 AC X C F. ergO AN 9. s A X gC 2 AR9.
Addo, sequentium gratii, si punctum A lumatur ad alceras (infra
centrum) parres; e reliqua limilite aPPATEHEIIE, FOTC COnEVI, LUM
AN 9. f. A X g = 2 A Lg. nam in eo calu est A N g- ). AX9
= 2 A C9-  2CN9. 2 A CX CF  2 AC X C C. _
2AR9 = 2 AC9 + 2CN 9 - 4 AC X CF. unde liquet prO-
Politum.
XVII. Sinc jam ad ealdem axis parres duo quilibet equales arcus
VR