( 263 ) 
The Inftrument he tneafured with , was Pikes joyoed together at 
their ends by a fcrew, which meafure was 4 toifes long: This he 
applied along a cord ftretched horizontally, and at the end of eve- 
ry fuch Pike had a ftake; of which (lakes he had loinalL Thi$ 
diftanceof 5663 toifes was the Bafe of the firfi Triangle^ upon 
which the meafure of all the depending fcale was formed. 
Here in Jr^.4.he takes occafion to difcourfe of Meafures in gene- 
ral ,and faith,That aP^Wi^/ vibrating a [econd of time, computed ac- 
cording to the JWif^;? motion of theSun,is 36inchesand 8^-linesof 
the Chaftelet of ParM meafure. And he efteems, that this Meafure 
may probably ferve in all Countries, becaufe the fame Length of a 
Pendul fcrved for a Second both at the Hague and Paris ; whence 
he conjeflures, the fame may ferve alfo in other Latitudes. Where- 
upon he inferrs, that if one had a mind to conftiture an Univerfal 
Meafure, which might be common to all Countries, it might be thus 
made, viz>, 
Callthis VtnivAfor [econds (of 36 inches and Splines) the A- 
i{vQX[omc^\radm the ^-of this radius the Univerfal foot ; the 
double of which radiuj might be called the Univerfal Toife or Fa- 
thom, which would be to the Fariftan T*?;')^ as 88 r. to 864 ; the 
Quadruple might be called the ^;?/Wy^/Pw/^, which is equal to 
the length of a Pendul for tvpo feconds. In a word, the Univer^ 
fal Mile might contain a 1 00 o of thefe Perches. 
The Inftrument, (in Art.^,) wherewith the Angles were taken in 
theMenfuration of theTriafigles,wasaQuadrantof38 Inches radium, 
furnilli't with Telefcopical-glafTes, the better to point out the Ob- ^ 
jcfls : Which Inftrumcnt,hefaith,nevcr mifs*d a minutein takingan 
Angle; fometimes it came within /z/^feconds. 
But to proceed ; fn the Jixth Article he relates the Manner of 
takingthc Diftance between Sourdon zxid Malvoyjtn^ together with 
" the Triangles, and the Stations from whence he obferv'd his Angle?* 
This diftance is 68343 toifes and 2 feet. 
The Bafe^ which he actually meafur'd, as we faid above,was AB, 
thehigh way lyingbetweenri//fj^//i/^and/x't?/^,which he found, (as 
hath been already intimated) equal to 5663 toifes of Paris. And 
from this Bafe he deduced the meafure of all the 13 Triangle?, - 
viz. 
Mm 2 
In 
