CONTENTS. 5 



Page. 



Fig. 32.— Cayley 's principle 108 



Fig. 33. — Lagrange s projection with Paris as center of least altera- 

 tion 112 



Fig. 34. — Lagrange's projection, earth's surface in a circle 114 



Fig. 35. — Geometrical relations of atractozonic projections 119 



Fig. 36. — Geometrical relations of nonrectangular double circular 



projections 130 



Fig. 37. — Nicolosi's projection or globular projection 138 



Fig, 38. — Geometrical relations of Founder's projection 139 



Fig. 39. — Projection of P. Foumier , 142 



Fig. 40. — Ordinary, or American, polyconic projection of the entire 



sphere 150 



Fig. 41. — A curve and its projection 154 



Fig. 42. — Two tangents at right angles and 'their projections 155 



Fig. 43. — Projection of infinitely near points 155 



Fig. 44. — Tissot's indicatrix 158 



Fig. 45. — ^Angular change in projection, first case 160 



Fig. 46. — ^Angular change in projection, second case 161 



Fig. 47. — Construction of transverse polyconic projection 168 



Fig. 48. — Transformation triangle for transverse polyconic pro- 

 jection 169 



