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# Title: Qua Continentur De Angulo Contactus & Semicirculi, Disquisitio Geometrica. De Sectionibus Conicis Tractatus. Arithmetica Infinitorum: sive de Curvilineorum quadraturâ, &c. Eclipseos Solaris Observatio (shelfmark Leibn. Marg. 84:2)
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P ROF. 2.
De Sectionibus Conicis.
Aec aurem omnia Parallelocramma simust Camipea, Fiesiram
constitent Frianonloilli sire inscriocibilem tire circumlenip.
cibilem, (edm omniu bales supponaneur Friangulo apcari:) quo
aucem plura Cuncin ejulmoditisura inscripea vel circurcripea)
Paralleloeramas cd minori lire excesu live defectu differc fgura
illa a Friangulo cui adseribitur; acteoq:, cum lupponancur inti-
nica, erie differencia illa infinice exigua, hoc cR, nulLa; aC9. PrOP-
cerea supponenda en fixura sic anfcripea (ex Paralleloerammis
intinicis Rrichmerice proporcionalibus contlaca) Trianoulo
aequalis, leu pocius eadem: Padem quidem lege qua Polygo-
num reculare infinitorum lacerum, (Eire inleribi (upponAtur
Eirc circum Ccribi) pro Circulohaberi Colet.
Qrod li gmispiam lic quinoluerit hoc concedere, porerieille
nocilima methodo Apagogica cogi: mulciplicaris nempe co-
eq. Parallelogrammis. ue differencia candem quavis altionacd
quancitace minor lc. Ben vero ejulmodi àvazozais superle
demlum esse exictimo, parcim ne Lectori nauleam crearem e-
sulmodi cramben (xp iis icerando, partim quia nemo est in Ma-
chemarieis paulo exercitacior, qui non poceric (si ipsi opus esse
videacur, canciq; luper(it ocii) supplere; cum ea Methodus de-
monttrandi cam apud Veceres quam Recenciores pastim oc-
CUEraC.
Duod autem de Prianeulo jam dictum est, illud nempe fieurae ex infini-
tis Paralleloerammis constata (sive inseripiae sive circum seripiae) aequa
de esse, seu porius eandem fieuram; intellicendum er it de quavis alià fieu-
ra planas cum eadem sic in omnibus demonstrandi rario. Nec quio
dem Planis solummodos sed  Freuris Solidis illud convenit: si nempe pro
Paralleloerammis substituamus Prismata: C qua voceeciam C ylina
drulos comprehendi volo, auceriam ejulmodi qualvis Aeuras
inter parallela plana similia, sire rectilinea Cint lire currilinea
Ere mista, aequabilicer poticas; ne lengis verborum ambagibus
ucendum (IC.) ACq; hoc Ccmel moneo, ne quis deinccps nOvaS
Demonstrariones ex specte, quories idem de aliis siguris dicen
ALH OCCUErCLO