CONTENTS. 
SECTION I Terms defined and explained, I 
Figure of the earth—Circles of the globe—Axis and poles— 
Equator or equinoctial—Ecliptic—Meridians or circles of 
longitude—Parallels of latitude—Longitude of a particu 
lar place—Contraction of meridians in the poles—The 
tropics—The polar circles—Positions of the sphere—The 
parallel sphere—The right sphere—The oblique sphere 
—The plane of projection—The different projections em 
ployed in this work. 
SECTION II.— The Orthographic Projection, 7 
Problem I. To construct a map on this projection—Geo 
metrical construction to effect this purpose—Meridians in 
this projection drawn as hour lines—Method of drawing 
these meridians as ellipses—Method of finding the curve 
of any ellipse. Problem II. To project the planispheres 
orthographically on the plane of the equator—In the posi 
tion of a parallel sphere. 
SECTION III.— The Stereographic Projection 11 
Problem I. To construct a map of the world on the plane 
of a meridian—To describe the meridians—To draw the 
parallels of latitude. Problem II. To project the plani 
spheres on the plane of the equator—The rhumb line, the 
logarithmic spiral. Problem III. The simplest method 
of drawing the meridians. Problem IV. Mechanical 
method of drawing meridians and parallels. Problem V. 
Principle of drawing a circle through three points, or 
through any point in the circumference of a given circle. 
Problem VI. To apply this principle in the projection