( 226l ) 
about the Dimenfion of Magaitudes^or the comparifon of them^ 
with one another. 
To that there is fubjoyned an Appendix concerning the di- 
menfion ot Circular^ and Hyperbolical fegments, with divers 
Theorems and Rules ferving to that purpofe^ 
Tht twelfth Le(3:ure containcth alfo feveral Theorems con< 
cerning the Dimenfion of Magnitudes^ but chiefly refpefting 
the dimenfion of Surfaces produced by the Rotation of Curve 
Iincs,and the dimenfion of Curve lines themfelves. 
To this Le<3:ure there are alfo three Additaments s the firjl 
whereof containethfome Theorems about the dimenfions of 
Spaces conftituted by the Tangents and Secants of a Circle. 
The fecond IhewSjhow the foregoing Theorems may be demons 
ftrated by the Apagpgick way, or by redudiion ad abfurdum^^ : 
together witl) a way of finding the dimenfion of the furfaces of m 
Conical bodies. In the third divers Problems and Theorems 
are added, of kin to thofe of the eleventh and twelfth Leilure. 
The thirteenth Ledure propounds an Explication of the na- 
ture,and conftirution of Equations, together with the variety of 
Roots,theirLimits^6cC4 by conflruftion, and confideration of 
certain curve hnes appropriate to each Equation : with fom^ 
notes refpeftimg each particularlfjand all in general. 
So much of the fe two Excellenttreatifef : Since the Publication 
of which,their worthy Author hath been plea fed to communi- 
Gate to a Friend ofhis fome Corollaries^belonging to the fecondi 
Problem oi his t\\\t A Appendix to the twelfth l£Bure ^ which be* 
caufe we conceive they will be very acceptable to the Mathe- 
matical Readefj^we fliall here^by the Author's good leave^fub- 
joyn them in the fame Language, he hath written them in^W^» 
Cceterumy im^iTfwice, animadverto^potuiff fecundo Jppendiculm 
t^rtiiB LeSton'/ XII, Probktrpxti Cordlaria qumdam adponirwu in* 
jucunda ^ qualium adfcribam mum ^ alter um, 
Probl. I. Detur Hnea quspiam AMB {ciijus axis AD^ bafis 
2'<f ^ 1 « 2Ci ^ curva ANE defgnetur talis, ut duUa liber e reU d< 
MNG ad BOpurallelay qm ip/am ANE fecet in N ^ 
ft curva AN (squalis ipfiGM; 
Curua ANE talis jit ^ m fi MT curvam AMB^ & NS cur v am... 
ANEtongantJt SG. ON t: TO, s/GMq — TCq s ipfa ANE pro- 
pofito faciet fatis^ 
Probl. 2, liflem qmad cictera fuppofiii^ corftitutis y.curva-.i 
"A-NMt^ 
