The CONTENTS. 



ertS, Efq; Fellow of the R t S. 6$ 



A New^ Exalt and EaCie Method^ of finding the 

 Roots of any Equations generally and that. 

 -Without any previous Reduction, By Edm. 

 Halley. jq 



^1 Dijfertation concerning the Conftruttion of So 7 

 lid Problems , or Equations of the third or 

 fourth Tower , by the help of qne (given ) Para- 

 bola and a Circle. By Edmund Halley. 89 



A Difcourfe concerning the Number of Roots^ 

 in Solid and Biquadratical Equations^ as alfb 

 of the Limits of them. By E. Halley. 101 



Some Illuflrious Specimens of the Doctrine of 

 Fluxions or Examples by which & clearly 

 jhewn the Vfe and Excellency of that Method 

 in folving Geometric at Problems. By Ab. 

 De Moivre. 12& 



A. Method of Squaring fome Sorts qf Curve s, 

 or Reducing them to more fimple Curves* By 

 A. De Moivre, R.S.S. 1 4 o 



Two Problems ^ concerning the Solid of 



Leafl Refiftance, and the Curve of Swifteft 

 Defcent. SolaPd by J. Craig. 159 



The Quadrature of the Logarithmic al Curve. 

 By ]. Craig. 166 



ATheorem concerning the P'K' t ^t-ion of the Time 

 that a heavy Body fpenjs in defending thro* 

 a right Line joining two given Points^ to the 

 (fliorteft) Time^ in which it paffes from the 

 one to the other of thefe Points^ by the Arch} 

 <of a Cycloid/ i<5g 



An ' Extract of a Letter from the Reverend Dr. 

 ' John Wallis, to Richsrd Waller, Efq- 0 Se- 

 cretary to the Royal Society , concerning the 

 Spaces' in the Cycloid^ whkh are perfectly 

 PnadrabU, 171 



