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nal Line^ for ^Equation. But he adds^ tliat it often falls out^that 
one and the fame Figure belongs to feveral Clafes ^ in regard 
that it may be refolved into divers ElementSjor have more than 
one Genitrix^ and therefore 5 according to the variety of the 
Cenitrix^ may be diverfly generated* And this 3 he efteems, 
doth very much ccmmcnd his Method^ in regard that there is 
the fame Equation of the fame Figure, whether it be demon- 
ftrated in this or that Claflis by this Intrinfick Principle* 
Mean time this Author denyeth not, that this kind of direSl 
Method was before him deliver'd and publifht by Bonaventura 
CavaleriHs^ but adds, that it was done with fuch difficulties 
and obfcuritiesj as deterred young Students from it 5 which 
in this Synopjis are faid to be avoided, or removed. 
As to the Three Opufcula^ adjoyned to the Synopfis 5 the Au- 
thor affirms of the Firji^ that it was publifti't Ekvenyears fince^ 
but uncorredledly 5 now Re-printed more carefully, and with 
a defign , to give a Specimen of his new Method in that ab- 
^rufe Argument i adding withal 5 that^ for ought he knows, 
he is the firft that hath written of this Subjefl: 5 only he had 
feenfomefew things concerning the Cycloid in torricellius ^ in 
that Appendix^ which he fubjoyn'd to the Problem of the Di- 
menjion of the Parahola^wherc he very well demonftrates 5 that 
the Space contained by the Cycloid and Ba/is , is Triplicate to 
the Generating Circle. But our Author affirms to have here 
added many new Demonftrations^ alledging, thu Tor ricellim 
in the faid y^/jpe^/af/.r hath demonftrated nothing elfe 3 but that 
one thing juft now recited . And though the fame in his Firfi 
Book^De AdotH Graviumdoth propofe many excellent things of 
the Cycloid^yGt our Author obferveth , that he haib demonftra' 
none of thofe* 
Concerning the fecond Opofcle , 'vi^^ the Century of his 
f topoHtions De Maxims Mi fiimk, he affirms, to have writ- 
ten them, for his divertifement , many years agOo And the 
third^ which is a short pitce of Trigonomttry 5 he faith to have 
haftily Compofed at the follicitatioaof an Ingenious Friend ^ 
to ferve Mathematical Beginners* 
IV. DIALOGI P HTS ICI, quorum Primus de] Lumine ^ Se- 
cundus ^ Tertius De VI PERCVSSIONis & MOTVt, Quar- 
tusDe hVMORIS ELEVATIONE per CAUdLICVLVMt, 
N n 2 Quintus 
