for Gardeners, &a 17 



PROPOSITION VIIL 



To defcrlbe aji Oval upon a Length given, 



§ 7. Divide the Length A B into three equal 

 Parts, as in Figure i ^ or into four, as in Figure 2, 

 A B C D, and from the Points C D, and from the 

 Interval C A, defcribe the Circles A E F, B C F, 

 froin the Sedions E and F -, and from the Interval 

 oi the Diameter E H, defcribe the Arches I H, O 

 P, and A I H B P O fliall be the Oval requir'd, in 

 Fig. I. And in Fig. 2, draw only the Diagonal Lines. 

 The PraBice on the Ground 



Is fo near the fame, that the Scheme makes it ve- 

 ry plain. Vide Fig. ^. 



PROPOSITION IX. ^ 

 To defcribe an Oval that has two Dia7neters given ♦, and 

 this is generally calVd the Gard'ner'5 Oval. 



Let the Diameters be A B C D, Lines fix'd at 

 Pleafure-, draw the Line A B, and in the Middle 

 of that Line, at Right Angles, draw the Line C, 

 by Interfed:ions, from the Points A and B. Divide 

 the Line C E into three Parts, one Part whereof 

 fet ofF from A, and the fame from B ^ fix there two 

 Pins, and by a Thread you may track out the Oval 

 A B C D. Fig. ?. 



Pra&ice on the Qroiiitd, Fig. 4, 5. 



This is eafier done on the GroUnd, by a Line and 

 Stakes, than on the Paper, by Reafon there is more 

 Room ^ fo that your "Work is done more eafy and 

 more certain^ and this indeed is the beft Method of 

 laying out any Kind of Oval • for, tho' the firft is 

 eafier made out on Paper than this laft, yet this laft 

 is eafier laid out on the Ground than the firft. 



Suppofing, then, that the longeft Diameter of 

 your Oval be 90 Foot, and the fhorteft 60, the 

 half whereof, C E, is ihortet a Foot, a third whereof 

 is 10 Foot, fet off 10 Foot at each End AB, and put 

 down there two Stakes, fhall ftrike out the whole 

 Oval. Vide Fig. 5. 



Vol. IL C 



