thereto, and finds the Logarlthmes of all Pr/W//t//Nnmbers un- 
der iooo. by one Multiplication, two Dmfions, and the Extra- 
ction of the fquare Root : but for prime Numbers greater, much 
more eafily. 
Concerning the conftru&lon of Logarithmes, Mr. Nicholas 
Mere At or hath a Treatife, intifui'd Logarithmotechnla, like wife ac 
the Pr((fe, from which the Reader may receive further fat isfafti- 
on. And as for Primitive Numbers, and whether any odd Num- 
ber propos'd lefs than i ooooo. be fuch, the Reader will meet with a 
fatisfo&pry Table at the end of a Book of Algebra, written in High* 
Dxtchby $ohn Henry Rehn, now tranflatedandenrich'd, and near 
ready forpublick view. 
Thehxtzof an Hyperbola,^ being yet given by an] man^ we thinkjit, 4 
UtttU to explain the Authors meaning. 
la Figure i. Let the Curve Z> /£ reprefent an Hyperbola, who fe 
Afjmpmes AO. AK. make the right Angle OAK the An- 
ther propounds to find the Hyperbolick fpace I L N K>contained by 
the HjperbolicalLm IL ? the Afymptote K M 5 and the two right lines 
I K, L M, which are paralel to the other Afymptote A O. 
He piits the Lines, IK = 1 coo 000 000 000 
LM ~ 1 000 0.00 000 oco o 
,AM = 1 000 000 oco ooo 
Hence KMr 9 000 000 000 000 
Whence he finds the fpace L I K M 
to be 2 3° 258 5 ° p 199 404 5 62 4 01 78^8r, too little. 
230 258 5 op 299 404 562 401 78704^00 great. 
'Note if! K be ..put for an Unit, thenLM may reprefeat 10. and 
H Gicco:nd F E1024, Andby whatis demonftrated by Greg, 
o v St. Vincent holds, 
As the fpace IBLMKIJs to the Logarithme of LM.to wit of 10. 
lb is the fpace IBBFKI, to the Logarhhme of the Number re- 
jpreftated-by the JL ; ne EF, to wit of 1024. 
The Author by the fame Method fiads the Area of the fpace 
GEFHto b^ 237 165 266173 160 421 183067, and the fpace 
LIKM abovefaid being taken tor the Logarithme of 10, and tripled, 
i$ the Logarhhme of 1 ooo,the which added to the fpace now found, 
rmkes the fum 693 14718055994522141719170, and 1024, 
being the 10th Power of 2, the ioth part of this number is the 
Hyperiolkal Logarithme of the Numb. 2, to wit ^93147180559 
9452914171917, And it holds by proportion, 
