MijceUanea Curioja. 159 



T<wo problems \ viz. concerning 

 the Solid of Leaji B^e/iftance^ 

 and the Curve of Swift eft c De* 

 fcent. 



Solvd by J« Craig. 



L E M M A. 



TO find the Proportion between the Re- 

 fiftance made to the Re&angular Tri- 

 angle AIG, and that made to the circum- 

 fcrib'd Re&angle AIGg, while each moves in 

 a Fluid, in the direction of the Line IA, 

 from I towards X. 



From any point B let there be drawn BG 

 perpendicular to AG, Bb parallel to AI, and 

 BM perpendicular to AI. Then in bB take 

 bHsCM 1 and bE 5=3 BC \ and thro' the 



BC 



points H and £, draw the Lines HA, EA^ 

 which being produced cut Gg in K and F, 

 I fay the Refiftance of the Triangle AIG 

 is to the Refiftance of the Redtangle AIGg ? 

 as fche Area of the Triangle AKG, to 

 the Area of the Triangle AFg. And 

 alfo, that the Refiftance upon any part 

 of the Line AG, is to the Refiftance 

 upon the correlpondent pait of the Line 



