BEDS. 



AB. Then from the point c, where AB 

 and DE intersect each other with the 



FIG. I. EGG-SHAPED BED 



radius CA or CB, describe the circle AFB. 

 Next, taking A and B as centres, with AB 

 and BA as radii, describe the arcs BH, AK, 

 and from the same points A and B draw 

 through G one of the points in which the 

 circle AFBG cuts the straight line DE the 

 straight lines, AL, BM, respectively, cutting 

 the arc BII in the point o, and the arc AK 

 in the point N. Lastly, from G as centre, 

 with the radius GN or GO, describe the arc 

 or quarter circle NO, which completes the 



A 



FIG. 2. BED FORMED BY SEMICIRCLES 

 DESCRIBED ON SIDES OF SQUARE. 



figure. The outline of the bed thus ob- 

 tained is shown by the solid line. 



2. Bed of Semicircles on Sides of 

 , ' Square. To form this bed the first step 

 to be taken is to lay out two straight 

 lines, AB, CD, as in Fig. 2, inter- 

 secting each other at right angles in 

 E. Then from E as centre, with any 

 length of radius that- may be deter- 

 mined upon, describe the circle *GHK. 

 In this circle inscribe a square, FGHK, 

 and from the points, L, M, N, O, in 

 which the sides of the square intersect 

 the straight lines AB, CD, describe the 

 arcs FPG, GQH, HRK, KSF. A bed of the 

 form shown by the solid arcs of circles 

 will then be formed, consisting of four 

 semicircles described on the four sides of 

 a square. The simplest method of con- 

 struction is to lay out a square first of all, 

 as FGHC, next to bisect the four sides of 

 the square in the points L, M, N, o, and 

 from these points as centres to describe 

 the semicircles FPG, GQH, HRK, and KSF, 

 that form the bed ; but the more elaborate 

 mode of procedure has been given because 

 it is suggestive of the formation of other 

 beds as a crescent, formed by the solid 

 arc FPG and the dotted arc FG, which is a 

 fourth part of the circumference of the 

 circle FGHK. Other forms are those which 

 are bounded by the solid arc FPG, and the 

 clotted arcs FE, GE, or by the dotted arcs 



FG, GE, EF. 



3. Semicircular Ribbon or Horseshoe 

 Bed. In Fig. 3, a semicircular ribbon bed 

 is shown. To lay out a bed of this form, 

 a straight line, AB, equal in length to the 

 distance between the outer edges of the 

 border, is drawn, and this is divided into 

 any number of equal parts, according to 

 the width of the bed that it is intended to 

 make : if narrow, a greater number of parts 

 will be required ; if wide, less. In this 

 case it is supposed to be divided into four 

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



