 | William Chauvenet - Geometry - 1871 - 380 pages
...rigorously proved in the case of regular polygons inscribed in a circle. PROPOSITION II— THEOREM. 8. The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element of the surface. Let AB CDEF be the base... | |
 | John Reynell Morell - Geometry - 1871 - 156 pages
...side of the cylinder is equal to the diameter of the base, the cylinder is called equilateral. 157. The lateral area of a cylinder is equal to the product of the circumference of its base by its side or height, because a cylinder may be considered to be a regular... | |
 | William Chauvenet - Geometry - 1872 - 382 pages
...rigorously proved in the case of regular polygons inscribed in a circle. PROPOSITION II.— THEOREM. 8. The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element of the surface. Let ^.BCZXEFbethe base... | |
 | Aaron Schuyler - Geometry - 1876 - 384 pages
...passes through tlie centers of all sections parallel to the bases. (?) 431. Proposition III.— Theorem. The lateral area of a cylinder is equal to the product of the perimeter of a right section by an element. -JT Let I denote the lateral area of the cylinder AG... | |
 | George Albert Wentworth - Geometry - 1877 - 416 pages
...EF, are equal. For these sections are the bases of the cylinder A C'. PROPOSITION XXIX. THEOREM. 619. The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element of the surface. K'^^ Let A BС DE be... | |
 | William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...cylinder as its limit as the number of sides of its base is indefinitely increased. PROPOSITION II. The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element of the surface. Corollary I. The lateral... | |
 | Arthur Latham Baker - Geometry, Solid - 1893 - 150 pages
...the right section =_/>. .-. the sum of all the faces = the lateral area = S = e . p. QED 150. COR. 1. The lateral area of a cylinder is equal to the product of an element by the, perimeter of a rijht section. 152. COR. 3. The luteral area of a cylinder of revolution is... | |
 | William Chauvenet - 1893 - 340 pages
...cylinder as its limit as the number of sides of its base is indefinitely increased. PROPOSITION II. The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element of the surface. Corollary I. The lateral... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 570 pages
...the volume of the cylinder is the common limit of V and V". § 185 QE D PROPOSITION II. THEOREM 934. The lateral area of a cylinder is equal to the product of the perimeter of a right section and an element. GIVEN — the cylinder AD', of which P is the perimeter... | |
 | George Albert Wentworth - Mathematics - 1896 - 68 pages
...cylinder, are equal. 645. Cor. 2. Any section of a cylinder parallel to the base is equal to the base. 646. The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element of the surface. 647. Cor. 1. The lateral... | |
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The lateral area of a cylinder is equal to the product of the perimeter of a right section of the cylinder by an element. Given L the lateral area, P... 
