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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 63, page id 797435492:0103
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eC7
1.
Oltaliter in obrersum speculi eireutaris convexum sinice di-
sanspunctum radiar, ee ubi loci adparet oculo in recta con-
Stiruto per iplum radians sx speculi centrum trajecta postremo con-
nisi demonstrare; nunc idem quoad aspectum alias ubicunque situm
aggredimur expilcari. quo primum arrinet ut rectam inveltisemus,
in qua consister lmago, cum ur punctum ejus in icta recta praecilum
dleterrainemus. e primo quidem negorio latistactum erir hujulmodi.
Problema conticiendo; quod (seguenrium quoque pratia) genera-
tim proponimus.
II. Datocirenlo restectente (CujuS Centrum C) dato (que binis pun-
ctis; ab horum uno recta ducatur, enjus restexus per alterum tran-
Seat.
T. Si data puncta (pura A, Z) sine ambo in circuli peripheria, Fic. 85.
manifectum est bisecto arcu, A Z in N, connexisque subrensis N A,
NIX, rectas NA, N X sibimutuo rehlexas Fore; seu, juncta C H,
angulum C. N X angulo C N A aequari.
2. Eriam (i darorum unum (Z) incircumferentia ponatur; liguet, Fic: 87.
COnneKIS AZ; C X, Factoque anguloC XHI = C Z A, Fore X A,
Z HI alterum alrerius reflexumm.
3. Ieem Si data purcta (A, X) requaliter a centro distene; con- Fi8. 88.
nerisrectis AC, _ C, bilectoque angulo ZC A a recta C N circu.
tum redlestencem incexlecante ad N; perspicuum est conjunetas rectas
AN, X e, inricem in se reftecti; vel angulum C. N X ipsi C N A
eguari.
III. 4. Si puncta data (pura jam A, R) aribo existane in recta per
refectentis centrum transeunre (nempe ABR C.)
2. FiarC R. A C:: C B. T. ac intex C B, _ TIIE proportione Fig. 8)
media V (unde CBg. V g:: C B. T: : CR. A C). FM CeNETOA,
interrallo a:: A C g = V g. describatur circulus rehlectentem
SeC ABS