(21 d) 
Mr. Oughtred in the V I. Chap, of his Navigation , annexed to 
the Book, eiuituled, The Circ/ej of Proportion , and the Hsri^^ontal 
In^rumenty^c^ mentions an Artifice, by himfelf difcover'd , by 
which it may be efFcfted, that the fmall parts of the Meridian be 
not one minute{ wiiich on the face of the Earth anfwers to>above 
an Engliflj Milej but the hundred-thoufanth, or, if need be, the 
miUioneth part pf a rniaute,fcarce exceeding one fifteenth part 
of an Inch: Which thing, be faith, ^ he is able to perform in 
Tables unto the Radiui looooooo • yet nothing at all differing 
either in their form or manner of working from thofe that are 
now commonly in u(c. 
But which way this is to be donCp this Author hath not made 
known to the Pubiick. And, though fuch Tables unto the 
dius lOOOOOoo. had bepn brought to light, yet would they not 
be fufEcient to prove the identity or famencs of the faid two 
Lines/as to continue the comparifon between them as farjas 
the one of thcm^videl Ahe L^ogarithmicallTangent lzue,h zlrezdy 
calculated, that is,to Ten places, befides the CharaUniJiicJ^. 
Now therefore , if a certain Rule tould be produced , by - 
which the Agreement or Difagreemcnt of the faid two Lines 
might be fliew'd, not onely to that Extent of places, to which 
that Tangent line is already calculated but alfo to as many 
iBorej as the faipe^Hiay bey^t/^irtl^er extende^^^uato, in infinitum 
ufque> furely that rule would not onely fave us the labour of 
making TabrlesMnto the 'Radius i ooooooo ; but alfo the Helix 
or Spiral Line of the Ships Courfe would be reduced to a more 
precife exa(9:nefs;, thanever was pretended by Him: and this 
moft Noble and tlfeful Science (as ]He juftly calls itj which i% 
the Bond of moft disjund: Countries, and the Confociarion of 
Nations. far th^eft .remote, would attain its full tuftre and per- 
fe^J:ion. 
Befides , that the fame Rule would affo difcovcr a far eafier 
way of making Logarithmes ,'&i'm ever was pradiifed or known j 
and therefore might fcrve^ when ever there fhquld be occafibn, 
tc extend thtLogi^rithmes beyond that number of ptacesjthatis 
alfisady cxtaut* 
Moreover fuch a Rule would enable men to draw the Meridian 
line Ceomarically, tlui is, wi.thout Tables ov Scales. : which indeed 
f/ might 
