CONTENTS 



Page. 



Determination of ellipsoidal expressions 7 



Development of general formulas for the polyconic projections 10 



Classification of polyconic projections 13 



Rectangular polyconic projections 13 



Stereographic meridian projection 24 



Derivation of stereographic meridian projection by functions of a 



complex variable ,. 30 



Construction of stereographic meridian projection 34 



Table for stereographic meridian projection 36 



Stereographic horizon projection 36 



Derivation of stereographic horizon projection by functions of a 



complex variable 42 



Proof that circles project into circles in stereographic projections . . 43 



Construction of stereographic horizon projection 48 



Solution of problems in stereographic projections 52 



Conf ormal polyconic projections 72 



Determination of the conf ormal projection in which the meridians 



and parallels are represented by circular arcs 80 



Special cases of the projection 93 



General study of double circular projections 96 



Conf ormal double circular projections 105 



Cayley's principle 106 



Discussion of the magnification on the conformal double circular 



projection ^ 109 



Equivalent, or equal-area, polyconic projections 114 



Conventional polyconic projections 119 



Nonrectangular double circular projections 129 



Projection of Mcolosi or globular projection 135 



Projection of P. Fournier 138 



Ordinary, or American, polyconic projection 143 



Tissot's indicatrix 153 



Tables of elements of the ordinary, or American, polyconic projec- 

 tion 166 



Transverse polyconic projection 167 



Projection for the international map on the scale of 1 : 1 000 000. . . 172 

 Tables for the projection of the sheets of the international map of 



the world 173 



3 



