...Or K=nlP. Ax. 8. Again R=% 1> :. K= — —• Ax. 8. 4 452. COR. 2. The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. K _^__^_ £ _ ' "' ~'~~"~* als° '' = 453. The area of a sector is equal to one-half the product of...

...equivalent to four times the area of a great circle of the sphere. 812. COR. 2. The areas of the surfaces of two spheres are to each other as the squares of their radii, or of their diameters. For, if S and S' denote the surfaces, R and R' the radii, and D and D' the diameters...

...equivalent to four times the area of a great circle of the sphere, 812. COR. 2. The areas of the surfaces of two spheres are to each other as the squares of their radii , or of their diameters. For, if S and S' denote the surfaces, E and Bf the radii, and D and Df the diameters...

...total -areas, of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights ; and their volumes are to each other as the cubes of their altitudes, as the cubes of...

...the other side. Through three points not in a straight line not more than one plane can be passed. The areas of two spheres are to each other as the squares of their radii; their volumes as the cubes of their radii; (like statements for other solids). The number of such statements...

...revolution. Proposition 15. The lateral areas, or total areas, of similar cylinders of revolution are to each other as the squares of their radii, or as the squares of their altitudes. Definition. Pyramidal surface. Pyramidal space. Edges. Faces. Vertex. Transverse section....

...SYLLABUS 747 Proposition 15. The lateral areas, or total areas, of similar cylinders of revolution are to each other as the squares of their radii, or as the squares of their altitudes. Definition. Pyramidal surface. Pyramidal space. Edges. Faces. Vertex. Transverse section....

...circles, or of a circle whose radius is equal to the diameter of thi sphere (753). The surfaces S and s of two spheres are to each other as the squares of their radii R and r or their diameters D and d. Thus, 5 = 4 *R* and s = 4 HT», and S : s = R> : r3 = D2 : (P....

...total areas, of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights ; and their volumes are to each other as the cubes of their altitudes, as the cubes of...

...total areas, of two similar cones of revolution are to each other as the squares of their altitudes, as the squares of their radii, or as the squares of their slant heights ; and their volumes are to each other as the cubes of their altitudes, as the cubes of...