Huygens, Christiaan, Christiani Hugenii opera varia; Bd. 2: Opera geometrica. Opera astronomica. Varia de optica

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196466HUGENII OBSERVATIONES inter ſe habent duæ hæ lineæ. Si logarithmus differentiæ lo-
garithmorum horum numerorum ſemper addatur ad 0,
36221, 56868, ſumma erit logarithmus numeri partium,
quas continet Spatium Hyperbolicum, illarum quarum
1.
0000000000 convinet parallelogr ammum Hyperbolæ, id
eſt illud, quod eſt contentum a duabus lineis ductis ex uno
Hyperbolæ puncto, &
quarum quævis parallela eſt uni ex
Aſymptotis;
Exempli gratia ſi parallelæ, quæ includunt ſpa-
tium Hyperbolicum ſint inter ſe ut 36 ad 5 operatio hoc pa-
cto fiet.
11
1, 5563025008 # Logarithmns 36.
0, 6989700043 # Logar. 5.
0, 8573324965. # Differentia.
9, 9331492856 # Logar. Differentiæ.
0, 36221 56868 # Logar. qui ſemper additur.
10, 2953649724; # Logar. cujus numerus facit contentum \\ in Spatio Hyperbolico, quod hic eſt 1.9740810180.
78[Figure 78]
III.
DOMINI GREGORII RESPONSUM
AD
ANIMADVERSIONES
DOMINI HUGENII,
IN EJUS LIBRUM, DE VERA CIRCULI
ET HYPERBOLÆ QUADRATURA.
AD ea quæ dicit D. Hugenius contra meam Circ.
& Hyperb. Quadraturam, ingenuè fateor (cum
illa ſcriberem) me non animadvertiſſe exemplum
in prop.
10. non eſſe ſeriem convergentem

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