C 74 ) 
lick Challenge Ad mnes Europe Mathewattm. %. A 
Treatife of the Cijfoide ; and the Reftification and Com- 
plaoaticn of Curve Lines and Surfaces, in a Method deri- 
ved from the Arithoietick of Infiqites. 9. His Mecha- 
nica^ or a large Treatife of Motion, Wherein are hand- 
led, not only the Machines or Engines, commonly cal- 
led the Mathematical or Mechanical Powers^ but the 
whole Dovtrine of Motion ; d^riyed and dcmonftrated 
from its Genuine and firft Principles with great va- 
riety (efpecialiy in the Second Part, which is De Cen- 
tro Gravitatis ejufque Calculo, ) of intricate and perplexed 
Enquiries into the moft abftrufe Myfteries in Mathema- 
ticks, many of them not formerly handled by any; 
the Dodrine of Percuflions, Repercuffions, Springs, and 
Reflexions; the Doftrine of Hydroftaticks, from the 
Counterpoife of the Air and many other things newly 
difcovered. 
In the latter Volume is contained, i. A large Trea- 
tife of Algehra, Hiftorica! and Praftical : Shewing the 
Original and Progrefs of that Art, from time to time, 
^nd the fteps whereby it hath attained to that height 
whereat now it is, amongft tht Greeks^ iht Arabs ^ and 
the later Europeam: With the (everal and fucceflive Me- 
thods of Operations thereunto appertaining,- and the 
great Improvements thereof in the prefent Age : Toge- 
ther with many occafional Difcourfes intermixed. 2. A 
Treatife cf Combinations, Alternations find Aliquote Tarts ; 
and divers Problems relating thereunto. 3. A Treatife 
of Angular SeiiionSy with other things thereunto apper- 
taining ; as the Canon of Sines^ Tangents^ and Secants^ 
&c. 4. A Treatife of the Angle of Contact, ( as it is 
commonly called ; ) Ihewing it to be of No-Magnitude^ 
and not any pare of a Right-lined Angle. 5. A Defence 
of that Treatiie, againft the Objeftions of Leotand and 
others : Together with feveral Difcourfes concerning 
Gompofition of Magnitudes, Inceptives of Magnitudes, 
and 
