330 On the Use of the Globe 



Let No. i be inclined to No. o at 53, then Nos. 2, 3, 4, and 

 5 are all equally inclined at an angle of 66|. Place the 

 poles of these faces on the globe. Draw the great circles of 

 which they are the poles, then we have great circles Nos. o, I, 

 2, 3, 4, and 5 respectively parallel to and representing the 

 faces of the same number. We may also proceed directly to 

 draw the great circles. Place the metrosphere on the globe : 

 describe great circle No. o coincident with its equator, and 

 mark the nodes (o) and (o, i'), also the pole of No. o. 

 Clamp the quadrant at 90 of azimuth on the equator and 

 incline the metrosphere round the common axis of the equator 

 and meridian until the angle between the meridian and circle 

 No. o is 53. The meridian is now in the position of great 

 circle No. i. Let it be drawn, and let its pole be marked. 

 The two circles cut one another at an angle of 53, and the 

 diameter (o, i) represents the singular edge of pentagons 

 Nos. o and i . 



By specification the inclination of faces i and 2 is 66^, 

 and equal to the inclination of 2 and o ; we have now to 

 place a third great circle on the globe, which shall cut 

 both the others at an angle of 66^. Clamp the movable 

 quadrant at an azimuth of 66| on the equator. Bring the 

 quadrant to coincide with circle No. o and let it slide along 

 it. Then, if it is carried over the whole semicircle of No. o, 

 the meridian must somewhere coincide with the position of 

 circle No. 2. While the quadrant is being slid along No. o, 

 the pole of the meridian is describing a small circle parallel 

 to No. o, which may be drawn on the globe. Now bring the 

 quadrant to coincide with circle No. i and let it slip along it, 

 marking the small circle parallel to No. i which the pole of 

 the meridian describes. The two small circles cut each other 

 in one point in the hemisphere of construction. Now, with 

 the quadrant coincident with No. o, bring the pole of the 

 meridian (90 of azimuth) to coincide with the intersection 

 of the two small circles ; the meridian coincides with circle 

 No. 2. Similarly let the quadrant coincide with circle No. i, 

 and the pole of the meridian with the intersection of the small 

 circles; then the meridian will be found to coincide with the 



