 | Fletcher Durell - Geometry, Solid - 1904 - 232 pages
...700. The lateral areas, or the total areas, of two similar cylinders of revolution are to each other as the squares of their radii, or as the squares of their altitudes; and their volumes are to each other as the cubes of their radii, or as the cubes of their... | |
 | Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...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... | |
 | Fletcher Durell - Geometry - 1911 - 553 pages
...THEOREM 724. The lateral areas, or the total areas, of two similar cones of revolution are to each other as the squares of their radii, or as the squares of their altitudes, or as the squares of their slant heights; and their volumes are to each other as the cubes... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...the area of the surface of a sphere. § 823 825. COR. 2. The areas of the surfaces of two spheres are as the squares of their radii, or as the squares of their diameters. Let R and R' denote the radii, D and D' the diameters, and S and S' the areas of the surfaces... | |
 | Yale University. Sheffield Scientific School - 1905 - 1074 pages
...chords which intersect within a circle is measured by one-half the sum of the intercepted areas. 3. The areas of two similar polygons are in the same ratio as the squares of any two homologous sides. 4. To inscribe in a given circle a square ; a regular hexagon. 5. Find the... | |
 | Education - 1912 - 942 pages
...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.... | |
 | Education - 1912 - 914 pages
...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.... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...2 irR = 2 R x 2 irR = 4 831 COROLLARY 2. The areas of the surfaces of two spheres are to each other as the squares of their radii, or as the squares of their diameters. 832 COROLLARY 3. The area of a zone is equal to the product of its altitude by the circumference... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...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... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...cones of revolution : I. The lateral areas are to each other as the squares of their altitudes, or as the squares of their radii, or as the squares of their slant heights. II. The total areas are to each other as the squares of their altitudes, or as the squares... | |
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The areas of two circles are to each other as the squares of their radii, or as the squares of their diameters. S TrR2 R* If1' = ~R^ = "cT* = -D'* 
