might alfo be done, byfetting of the Secants of cy cry whole 
or half degree, if there were not this Inconveniency in it (which 
is not in my Rule : ) That a Line compofed of (o many fmall 
parts, would be fubjed: to many errours^ efpccially in a fmall 
compafs. 
The fame Rule alfo will fcrvejto find the Courfe and Diftance 
between two Places affigned, as far, as prad:icc (hall require it ; 
and that, without any Table of Meridional pares, and yet with 
as much eafe and cxadncfs. 
. And feeing all thefe things do depend on the fblution of this 
Qjieftion, Whether the jhifieial Tangent4ine be the true Meridian'^ 
limf It is therefore, that I undertake,by God's affiftance^ to 
refolve the (aid Queftion, And to let the world know the readi- 
nefs and confidence, I have to maks good this undertakings I 
am wiiling to lay a W^ger againft any one or more perfons chat 
have a mind to engage , for fo much as an&tker Invention of mine 
Y whichisof lefs fubtlety, but of far greater benefit to the pub- 
lick j may be worth to the Inventor, 
For, the great advantage, that all MerchantSj Marriners, and 
Gonfequently the Common- wealth, may receive from this other 
Invention^ is, in my judgment, highly valuable 5 feeing it will 
oftentimes make a Jhip faile, though, according to the common 
^ay of failing, the wind be quite contrary, and yet as near to 
the place intended, as if the wind had beea favourable : Or^if 
you will, it will enable one to gain fomething in the intended 
way, whether the wind be good or no ( except onely when you 
go tiire<9;ly South or North,) but the advantage will be moft, 
Vwhere there is moft need of it^that is, when the Wind is contrary: 
So that one may very often gain a fifth, fourth, third part, or 
more of the intended voyage 5 according as it is longer or flior- 
ter 3 vi^. always more in a longer Voyage, where the gain is 
more confiderable, and more welcorbe ; not onlybylaving 
Time^ but alfo yi<9:uals,Waier5Fuel, Mem healtb, and fo much 
jRoom in thefiiip. 
All thisj which is here pretended^ the Propofer is to make 
good by the Verd'id: of fome Able Meojwho alfo may give a 
gue/s, v;hat this latter Invention may be worth to the owner: 
And for fo muchj and no more, he will ftand engaged againft a- 
G g 2 ny 
