[1177] 
Other:) it is, As the Sines of the refpecflive angles \s 
(in the feveral Circles,) to that of the Angle O ; So the 
iliorteft Ray [oppojite to VJ to the refpedive Rays, ia 
the feveral Circles. 
"That is; -putting i, or (i, oooooj for the l^y of the 
In*moJt Circle j the reji are thus found i 
Angles: Sines 172, or, 8<», o'. Shorteft Ray, 
- ^ 1,00000 
7''iS9' 13888/0. 1391731-1500000 1,00207!- 
7;f 8 1387970. 1,0041^1+ 
7,5-7: 1383089. i^oodzy " 
7, $61 1380208. ^ 1,00835'- 
y^TS'^ ^1771^7* LongeftRay, 1,0104^- 
Dlffercnces. 
.00 20 71- 
.CO208 4 
.ooao^J- 
.00210 
.00211 
Where ( the computation being made as accurately as the^ 
common Canon of Sines will permit) the Differences of I{ays^ 
that is ^ the Intervals of the Circles are fo near to equals^ 
m not to differ more than by an Hundred-Thoufandth 
part of the [jhorter) Radius. breadth of the limb, 
that isy the difference of the jhortejt and longeji ^R^y , be^ 
ingfomewhat more than the Handredth^<^r^ of the Jborter 
Ray.) 
That is {fuppoftng the Jborter I{ay to be 6 foot, or 72 
Inches,^ the difference of Intervals between the concentric!^ 
Circles is not pafl xdh^ of an Inch, (Which is about one 
fourteen-hundredth part of an Inch.) Which no fenje can 
dijfinguijh from equidiftants. 
The 13^^. from Ifmael Bullialdus (who had himfelf 
alfo been a Ey-witnefs and Affiftant at the Authors Ob- 
fervations, for fome confiderable time,) teltifies his great 
refencment of Mr. //^>o;^s dealings herein; as being a- 
ftonifhed to fee how far enry and a fpirit of contradi- 
dlion can tranfport a man. And thinks ic a duty which 
the Author ovi?> both to his own reputation, and to the 
publike, to vindicate himfelf and his oblervations from 
thefe afperlions. But thinks he cannot do it better 
f f 2 than 
