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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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Arithmetiea Infinitorum.
PrOD. 35,36.
70. 27  8 - 19, 64 = 27 --373 125 = 64 -- 61. d6a
92
C, E
c. _C.
PROP. ZZXV. Coroll.
Enigs Fisurae spiralis portiones, quae in singulis
circulationibus de novo describuntur. (preter
illud quod in precedenti circulatione descriptum
fuerat,) nempe quod intra spiralem primami continetur
quod inter primam e. secundam, quod inter secundam e
tertiam, quod inter certiam  quartane, ec. sunt ad
invicem ut 1, 6, 22, 18, 24, 8 c. (addendo semper, post
locum secundum, numerum senarium;) Nempe ut diffe-
rentia differentiarum numerorum cubicorum.
Sequieur ex 33. Ouia 1, 7  1, 19-7, 37 m 19, 61 ~
37, eC. TUNCUE 1, 6, 12,88, 24. _C.
SCHOLWDM.
Haec aucem de area Rgura spiralis doctrina, continuis duode
eim proponcionibus jam cradita, consona est illis quae cradic
Archimedes circa tinem libri de Lineis Spiralibus. Libce aucem
id iplum paulo ulcerius prolequia
PROF. XXZVI.
Cioroll.
Omplementum fieurae spiralis ( quod nempe cum ipsa
sectorem conterminum complet) est ad sectorem con-
terminum, ut 2 ad 3.
Sequieur hoc quidem ex prop. 24. Sed id iplum aliter otten.
demustroc modo.
Constare CuPPONAMUS ABuraM PMTT Ccomplementum
Exurae Epicalis METM) ex intinicis arcubus PY, PF, _C. qui
quidem lune in duplicaca ratione reCtarUM MP, MP, Arichme
eice proporcionalium. (ne octendimus ad prov. 1I) sector
AULENA CONTErMINUS MPY, ex cocidem constabit arcubus, iplis
MF,
Vet U3 6326,3