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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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PrOD. 194.
arithmetica infinitorum.
gene, in quarea rectam (ccac, in cerria sc currae diameter, in le-
cunda tc parallela, _ in prima deniq; AIZmBIOTa.
Oiaenam aucem sinc currarum harum omnium affectiones, de
quibus modis commodissime delcribaneur, non liber mihiltesso
jam, rarioq; de impedico icinere laris laHaco) curicsius imprae-
Tenciarum inguirere; ne nec Eyperbclae guadracuram ulicrius
(quam lupra tactum cM) acrinsere. Er quidem beri DoreAuE
eracam nonnullis negucium vel ea cacendo praestiemus lim, quo
liceac iplis, indicata jam mechodo, eildem inrestigandis oble-
Ctari.
Eas aurem omnescales esse quales pro Geomerrieis haberi velit
Carcelius, quo minus dubicem id tacie, guod de locis paribus
jam lacis contter, derectis jamjam eorum characteribus. adc095
e de locis imparibus (quamvis eorum characteres non ita com
mode delignari polline) non alicer cenlendum cA. Oua lcs a1-
tem illae sinc Rquaciones quae singulis conveniant, ex iplo ordi
ne pacebic. Cum enim Ceriei quarta conveniac aequacio lacera
lis, (extae Ouodeacica, octarae Cubica, _c. (puca quarum lupre-
ma porestas cA, Lacus, enadracum, Cubus, _C;) ad scriesinterje-
ctas calesnecesse cA aequaciones percinere quae lint his interme
dixe; (puca, quinexe, calis quae sic quadraticae et lacerali imermedias
_ de caeceris paricer judicandum.) An aurem ejusmodi A qua
tiones lat commode poltine recepto more delignari, dubitan-
dum Forlan cric.
Mihiincerim Cufticiat (nec quidem Tulcepeorum laborum Pae-
nicec) remhactenus perduxisse; novamq; ingresso lemicam, can-
dem aliis aperuisse: quae quidem quo me duceret, in principio
non adeotacile erat hariolari, sed quae ad curvilinearum (lal-
cem guarundam) guadraturam, aliaq: ejulmodi abstrutiona
problemaca, recta cendere videbacur. Nec quidem spem Fetet-
lic. Elcuc enim in Circulo, racio ea quam habet ille ad ouadra-
tum (quam mihi prae oculis eciam atinicio Fuise non nee0)
non ica plane ex roco Cc prodat, uc in aliis aliquor curvilincis,
recepto aliquo nocacionis modo explicando. (Ccd per varioo
Maandeos me deduxeric. _ tandem in appnzor quidam delinaC)
Overae tamen precium eA carenus eam indicalse quarenus ipla
numerorum nacura pacicur; uc nihil insaper religuum sIE gnaim
uc incer Machemacicos conreniae qua veline nocscione (sive
mea lire alia adthuc ad arbierium excogiranda) racionem illam
dponrov