(sill 
VLt.Oughred in the V 1, Chap, of his Navigation, annexed' to 
the Book, entituled, The Circles of Proportion , and the Horizontal 
Inftrument,$>tc> mentions an Artifice, by himfeif difcover’d , by 
which it may be effected, that the final! parts of the Meridian be 
no tone minutef which on the face of the Earth anfwers to above 
an Englifh Mile,) but the hundred-thoufauth, or, if need be, the 
millioneth part of a minute,fcarce exceeding one fifteenth part 
of an Inch : Which thing, he faith , , he is able to perform in 
Tables unto the ELadius ioooooo.o •..yet nothing at all differing 
either in their form or manner of working from thofe that are 
now commonly in ufe. 
But which way this is to be done, this Author hath not made 
known to the Publick. And,though fuch Tables unto the 7(0- 
dius iogooooo. had been brought to Lights yet would they not 
be fufficient to prove the identity or famenesof the faid two 
Lines, as to continue the comparifoe between them as far, as 
the one of them,W<&7. the Logarithmic allTangent-linef\% already 
calculated, that is, to Ten places, befides the CbaraBoriftic\ \ 
Now therefore , if a certain Rule could be produced , by 
which the Agreement or Difagreement of the faid two Lines 
might be lhew*d, not onely to that Extent of places, to which 
that Tangent-line is already calculated , but alfo to as many 
more, as the fame may be yet further extended unto, in infinitum 
nfque ; furely that rule would not onely faveus the labour of 
making Tables unto the Radius i ooooooo ; but alfo the Helix 
or Spiral Line of the Ships Courfe would be reduced to a more 
precife exadfcnefs, than ever was pretended by Him : and this 
moft Noble and Ufeful Science (as He juftly calls it) which is 
the Bond of moft disjunct: Countries, and the Confociation of 
Nations fartheft remote, wouldattain its full luftre and per- 
fection. 
Befides , that the fame Rule would alfo difcover a far eafier 
way of making Logarithmes, than ever was pradtifed or known; 
and therefore might ferve, when ever there fhould be occafion, 
te extend the Logarithmes beyond that number of places, that is 
already extant 
Moreover fuch a Rule would enable men £o draw the 'Meridian 
line Geometrically, that is, without or Scales ; which indeed 
‘ might,. 
