I o\ JMifcellanea Curio fa. 



play be conftrucled by as many different Cir- 

 cles, as you can imagine Quantities <?, that 

 is, an infinite Number. But among all thefe, 

 that which I gave before, is the eafieft. Yet 

 thefe is another not much inferior to this, 

 which feems better accommodated to the de-' 

 figns of determining the Number _ of the 

 Roots, and their Limits; and which arifes 

 from the taking away of the fecond Term, 

 by putting after the common way xhix* 

 -Vox — | of the Coefficient of the fecoqd 

 Term. Now this way is thus : The Parabola 

 ABY (Fig. 12.) being given, whofe Vertex is 

 its Axis AE, and Latus Rettum ^, let the 

 Equation be reduced to the ufual Form, 

 z} . bz? . apz.. aaq. o. Then at the diftance 

 of 3 b let there be drawn B K (parallel to 

 the Axis, to the Right Hand if it -\- other- 

 wife to the Left) which meets the Parabola 

 in B ; and let the Line DP interminate on 

 both fides, be erected perpendicular to the 

 fuppos'd Line AB, meeting the Axis in the 

 point G. From the point 5, let fall the 

 Perpendicular BC, and let GE be always made 

 equal to AC, and be fet off towards the 

 lower parts. From E fet off EH & I up- 

 wards if it be p in the Equation, but 

 downwards if ^ p \ and from the point i/, 

 (or E 0 if. the quantity p be wanting) let the 

 Perpendicular HQ, be drawn out, meeting 

 the interminate Line DP in 0. Laftly, in 

 the interminate Line HQ,, make OR £s I ^, 

 from O to the Right Hand, if it be — but 

 to the Left, ff ^'f. Then a Circle defcrib'd 

 on the Center R with the Radius R A, will 

 cut the Parabola in as many points, as the 



Equation 



