\ 4 Geometrical InfirtiSlions 



JJI:aU likewijein this Page, hrhtg hi Propoftiovs rehthg 

 to thsimding of a Line, am an Avgle into Upo Farts, 

 and of the Manner oftYaynferringoj an Angle from the 

 Paver to tie Ground, &c. ' 



PROPOSITION V. 

 To cut a right Line given into two equally. 

 Upon Paper Fig. 1.2. 

 - From the Point A draw the Arch C D, and with- 

 out opening or {hutting the CompafTes, -from the 

 Point or End B, draw the Arch E F •, and a Line 

 or Ruler apply'd to G and H, will divide the. Line 

 A B equally in two at O. ^ - 



PraBice on the Ground, Fig. 6., 

 The doubling the Garden Line, to find the 

 half Length of any Line is fo common, that. I nQe,d 

 not repeat it, tho' this Method is more artificial, 

 and is preparatory to the next. 



PROPOSITION YL 

 To cut an Angle into two equal PoYtio7iSyUpon Paper, Tig. ,g. 

 From the Angle A draw at Pleafure the Arch 

 D E, and from the Points D E make the Sedlion 

 O ', then draw the Line A O, which is what is re- 

 quired (viz.) dividing the Angle into tv/o equal Part's. 

 Practice on the Ground^ Fig. 7. 

 Being" performed by a Line, as it is upon Paper 

 hj the Com\:>afres, I need not repeat it. ^ 



PROPOSITION VIL 

 To make an Angle equal to an Angle givejt^ ortranf" 

 fer an Angle from one Paper ■ to another, [or from 

 Paper to the Ground, 



From the Angle D draw at Pleafure the Arch 

 C G, and without altering the Compafies, from 

 the Point D draw the Arch H O, and make the 

 Arch H E equal to the Arch C G •, draw the 

 Line D E, and both Angles will be alike. 

 PraSice on the Grbujid. Fig. 8. 

 Is the fame as upon Paper. Note^ this is very 

 ufeful in fetting of Diagonal Lines in Gardening, 

 as may be feen. Fig. 8. 



