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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)
# Folio 178, page id 824573315:0390
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90
Arithmetica Insinitorum.
PFOD. 19T.
Ouod autem jam invenimus, libet eciam, in segnenribus a
quoc propolicionibus, mucata aliquanculum Forma proponere.
Ecprimo quidem qui id postie numeris ablolucis quam proxime
delignari, _ deinde eciam lineis rectis.
PROP. CLXZXKI.
Problema.
DRopOlicum Sitinquirere, quantus (IEterminuS A (Fa=
bellae PrOP. 189.) in numeris absoluris quam
PTOIME.
Ogo Facilivo res succedat, proxrectonis (ibidem reperE)
Termini Za. F. 9. 3. 48
3XG 4X6 3X5X7
2X 4 3X5B. 2X4X6. _C.
dicanEUT, a. a, B. b. y. c.
s.
d.
_C.
EA auTem L. 2: : a. B. FC2. 3:: a. b, EC3. 4:: B. 7. PF
4.3:: b. C, CL5. 6:: 3. 8. C16. 7:: c. d. ec.
Hoc eAt,
Eoc de rationiec.
bur b
a = 21
21  = E3c = 23
2., a non ldeoqe (cumrationes consinue mulciplicantes perpetuo decret
a
a
t octensum ead CanC) eeie
a le suspone minox 5 a
tur.
-
duarum
)maior CB
Lduarum a
X
EE PrOPterCAB = aX
Tcem
minor(b 1
duari) B b
D maior CYx C
1dc0q;
)minor quam Y Z = Y 12
major quam V3 = Y 12.
Cminor quam I V 2 = 1 V 13.
Emajor quam 1 V Z = 2 V 22.
B 2
-
duari ) b 2 b
3
(=minor quam V= = V 13
un  major quam V a = Y 1 e
v. d
ratio β ad a componitur ex rat. B ad a et a ad X. jam
quia ponit minorum estos ad a qua a ad X, Erit ideo βada
mnor a duabur ratbur quae componunt rat. B ad X Eoc. et 2 ad 1
adeogne  minor qua v2.