(7*0 
I 
2 
-2, 2$ 
? 
3, 375 
4 
5,0625 
5 
7> 59375 
«1 
11, 350625 
i, 125 
l 5 I2 5 
1,265625 
5187s 
i, 2984375 
1125 
1125 
i 265625 
. 189 
.22 
-+■15114040 
— 1 1 37845 
16251885 u 
1 3 97 to y5 
Caeteriim ifthaec omnia, & ionge plura ex prop. 13, 1.5, & i6Logarith- 
motechniae noftrae aperte derivantur, nonraagis confiderando hyperbolam, 
quam fi eanufquam in rerum natura/exritiffec. Quare fruftra funt, qui hy- 
perbolam ad conftruftionem Logarithmorum velliilum conferre autumant; 
imo Logarithmorum ope quadrare hyperbolam,verius eft. Id quod exemplo 
oftenderehaudpigebit. In diagrammate (Fig. 1,) fit AH 743058i6par- 
iumjqualium AJ eft i„r&oporteat in venire aream BIHF. 
Opus eft ad earn rem tabella fubjcfta, quae continet Log-os naturales fu- 
pra acquifitos, in priori- columna ab 1 ufque ad 9, in altera a 10 ufquead 
1 000000000«. 
ooooooodooo 
693 1 47 1 8052 
109861228860 
13^629436104 
160943791232 
179175946912 
194591014904 
207944I54I5 6 
2197224,57720 
02, 30258509299 
04, 60517018599 
06,^,07755^78^8 
09,21034037198 
11,51292546497 
13,815,51055,796 
1 6, 1 1809565096 
18, 42068074395 
20,72326583695 
Turn prima figura numeri dati femper diftinguatur a fequentibus fepafa- 
triee, hoc modo : 7,4305816, & ipfi primasfigurae femper adjiciatur 1, ita 
confhntur, hoc loco, 8. Quarrenda eft nunc rationis 8 ad 7^4305816 
menfura naturalis. Id utfiac commodius,dic : ut8 ad 7, 4305816 • ita 1 
ad 0,9288227, hunc quartum proportionalem aufer ab 1 , reliquum 
0, 071 1 773 voco poteftatem primam, quae ducenda eft in fe ita, ut in fa&o 
idem numerus partium extet, qui eratin ipfo 0, 0711773 produdtum 
0,005^0662 eft poteftas fecunda, quae rurfus ducatur in primam 
0,0711773, utidem numerus partium exftet,prodk 0,0003606, quae 
ett tertia poteftas •, &eodemmodo inveniturquarta o, 0000256, &quin- 
ta 0,00000 1 8^ Deinde 
Poreftas 
