BEDS. 



BEDS. 



draw LN, and from M through u draw MO. 

 Then from L as centre, with radius LC, 

 describe the arc ACT, and from M as centre, 

 with radius MD, describe the arc BDQ, and 

 next from the same centres, with radii LQ, 

 MP, describe the arcs QR, PS. Join AR, 

 us, and bisect them in T and u ; erect 

 perpendiculars TV, ux, to AR, BS, at the 

 points T and u, and from v and x (where 

 these perpendiculars cut LR, MS) as centres, 

 with radii VR, xs, describe the arcs AR, BS, 

 which complete the figure. 



5. Cordate or Heart-shaped Bed. A 

 cordate or heart-shaped bed is formed as 

 in Fig. 6 by dividing a line AB into four 

 equal parts in the points D, c, E. Then 

 from D and E as centres, with radii DA and 



by describing the semicircle AQB from c as 

 centre, with radius CA or CB, and the semi- 

 circles ATN, NRO, and OVB, from M, c, 

 and P as centres, a fan-shaped figure 

 enclosed by dotted lines is obtained, and 

 by completing the circle AQBS, a bed 

 similar to that shown by the diagram 

 illustrative of a horseshoe bed (which see), 

 I but in different proportions, is exhibited. 

 . Lastly, by the larger and small semicircles 

 disposed about the straight line AB, a bird- 

 j like figure, with symmetrical wings, is 

 I shown ; and another bed, bounded by the 

 j semicircles AFC, CGB, above the line AB, 

 j and the semicircle ASB below it. All these 

 forms may prove useful in various positions, 

 and will suggest modes of setting out 

 geometrical gardens in curved lines. 



Beds, 



FIG. 6. HEART-SHAPED AND' OTHER BEDS. 



DB, the semicircles AFC, CGB, are described, 

 and from the same points as centres, with 

 radii DB, EA, the arcs BLH, AKH, are de- 

 scribed, which intersect each other in H, and 

 complete the figure. By dividing AB into six 

 tqual parts in the points M, N, c, o, P, and 



Rectilinear, How to 

 Form. 



Everybody, it is presumed, knows 

 how to make a circle, and all rectilinear 

 figures whose sides subtend or connect 

 by means of a straight line the extremi- 

 ties of part of a circle are formed by 

 the division of its circumference into 

 different parts. For instance, a pentagon 

 is a circle whose circumference is di- 

 vided in five, a hexagon six, a heptagon 

 seven, an octagon eight, and so on. 

 If the operator is not furnished with a 

 pair of large compasses, all regularly 

 curved lines can be described by a cord 

 running loosely round a strong stake in 

 the centre of the curve, and the divisions 

 of the circumference can be easily made 

 to furnish the polygon required by means 

 of straight lines drawn from point to 

 point. All regular figures, from an equi- 

 lateral triangle to anoctogan, are represented 

 in Figs, i, 2, 3, 4, 5, 6. The hexagon, as 

 in Fig. 4, is the easiest figure to construct, 

 because the circle in which it is inscribed 

 may be divided into six equal parts without 

 any alteration of the width between the 



