( ) 
f R 0 P. IT. 
Having the greateft Horizontal Range of a Gun, the 
Horizonral Ditlance and Angle of Inclination of an 01> 
je<a; to th€ Perpendicular, to find the two Elevations 
oeceflary to flrike that Objedl. 
R V L E. 
Halve the Diftance of the Objeft from the t^adir , 
this half is always equal to the half Sum of the two fi- 
le vations we feek^ Then fay, As the greateji Herizon* 
tal Ra^ge is to the Horizontal Diftancc of the Ohje^l : So 
p th& Sine of the Angle of Inclination or Difiance of the 
OhjeB from the ferjfendicnlar^ to a fourth Proportional; 
which fourth being f uhflr ailed froni the Verfed Sine of the 
Diftance of the Objeil from the Zenith, leaves the Verfed 
Sine of half the difference of the Elevations fought ; which 
Elevations are therefore had by adding and fubjir ailing 
that half difference to and from the afvrefaid half Sum. 
I ftiall not need to fpeak of the facility of thefe So- 
lutionsj I fliall only obferve that they are both General, 
without Exception or Caution, and derived from the 
ktK)wJedge that thefe two Elevations are equidiftant 
above and below the Line bifeiJting the Angle between 
the Objeft and the Zeniths 
VI, Air 
