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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. 19I.
Arithmetica Instnitorum.
exhribet Tabella. (Sed ee idem cerminus paricer exhibebitur ex
ductu secundi cermini x, in rationem ex secunda _ certia com-
Poticam.) Acq; ad hunc modum licebic singulos cabellae no
Rea terminos indicare, adhibico nonnunquam uno quovis, (xpia
us autem ne uno quidem, numerorum istorum incerminabili-
um; quorum quidem nos primum, hac noca es delienacum, in
cabella nostra adhibaimas.
Estigicur racio circuli ad ouadratum diamecri, (per jam dicta)
2Pd. d:: 1. H =
_c. Ec Cmilicee (cum hic racio perimetri ad diamerrum qu2-
drupla racionis circuli ad quadracum, quia nempe = pd. d
+P. d.) rario perimeeri ad diamerrum p. 8:: 4. G: de diamerra
ad perimetrum d. P:: 1. 4::
: T. D = B
neC
9 t
64F 1024
225 256 _c.
Nempe 5 g: Sc Circulus ad auacrarum Diamecri.
uc Iad C B: Sic C irculi Diameter ad Pcrimetrum.
Superest, uc rationem ostendam cur in astignando valorem
quancicacis ei, luperius dixerim, pro Cractionis continue Fractae
denominatore uleimo (utricunque sistendum quis velic) Ponen
dum este, non 2, Ced vel, 3, 53 7, 9, ecc. prour locus ubi consr-
Aitur pottulaveric. (quod non tam necellicatis, quam perspi-
cuicaris caula Factum eM.) Oux quidem rario, tec cA.
Cum lupponacur ( juxca jam cradita) AXB - O2 = 4.
lItq; B = 2Z5 _ B - - 333. Adeog; S numerum 4 = O2
diridamus per B (factorem posteriorem) prodibice. Si quan-
titas B impertecte lumatur, non prodibir ipsa quancicas 1, led
alia quae major hic vel minor, prout B imperfecte lampta, lic ipla
B accurace, minor vel major. Nempe Apro diricore B sumarue
3. dirisione Facta, pro e prodibic 1 Z: si pro diritore 3E0
prodibie 1 23: (1353 sprodibic 1 23 25. EC sic deinecps: UE
exiplo calculo pacebii.
LC SC in B = 35Y, C =- 8 105, D = 7 1aL, _C. Faciendum
FIE. Nemec inB, denominacor ulcimus erit unus ex H155,7, 9.
Et C C 3
IX