5 11 Mifcellanea Curiofa. 



fame Time ; wherefore the Velocity BC at the 

 end of the Fall, is double to that Velocity, which 

 In the Time A B, would have defcribed the Space 

 fallen, reprefented by the Triangle ABC with an 

 equable Motion, Q^E. D. 



Prep. IV. All Bodies on or near the Surface of 

 the Earth, in their Fall, defcend Co, as at the 

 end of the firft Second of Time, they have de- 

 fcribed 16 Feet, I Inch, London Meafure % and 

 acquired the Velocity of Feet, 2. Inches, in a 

 Second. 



This is made out from the 2£th Propofition 

 of the fecond Part of that excellent Treatife of 

 Mr. Hugenius de Horologio Ojcillatorio ; wherein 

 he dernonftrates the time of the lead: Vibrations 

 of a Pendulum, to be to the Time ot the Fall oi 

 a Body, from the heigth of half the lengch of the 

 Veudulum, as the Circumference of a Circle to its 

 Diameter whence, as a Corollary, it follows, That 

 as the Square of the Diameter to the Square of the 

 Circumference, fo half the length of the Pendulum 

 vibrating Seconds, to die Space defcribed by the 

 Fall of a Body in a Second of Time : And the 

 Length of the Pendulum vibrating Seconds, being 

 found 39, 1 2 5, or £ Inches, the Descent in a 

 Secow<f will be found by the aforefeid Analogy 16 

 Foot and 1 Inch , and, by the third Propofition, 

 the Velocity will be double thereto ; and near 

 to this it hath been found by feverai Experiments, 

 which by reafbn of the fmftnefs of the Fall, can- 

 not fb exa&ly determine its Quantity. The De- 

 monftration of Hugenius being the Conclufion of 

 a long Train of Confequences, 1 ftiall for brevity 

 fake omit ; and refer you to his Book, where 

 thefe things are more amply treated of. 



: . From 



