( M8 ) 
few Minutes in the Day my own. I ought to make 
an Apology for this long Letter; but thought you 
was the Perfon of my Acquaintance moil proper to 
fend this to. I am, with great Efleem, 
SIR, 
Tour mojl obedient 
mojl humble Servant , 
Colin Mac Laurin. 
An AbJlraB of what has been printed fince the 
Year 1721, as a Supplement to a Treatife con- 
cerning the Defcription of Curve Lines pub • 
lifhed in 1719, and of rrbat the Author pro- 
pofes to add to that Supplement . 
I.T N the firft Part of the Supplement, there is a 
J[ general Demonftration given of the Theorem, 
that if two Lines of the Orders or Dimenfions, ex- 
prefs’d by the Numbers m and n, be delcribed in 
the lame Plane, the greateft Number of Points in 
which thele Lines can interfed each other, will 
be mn , or the Produd of the Numbers which 
exprefs the Dimenfions of the Lines, or the Orders 
to which they belong. 
If. In the next Part, Theorems are given for 
drawing Tangents to all the Curves that were de- 
fcribed in that Treatife by the Motions of Angles 
upon 
