 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...altitude by the circumference of the base (683). 733. Corollary — The area of the entire surface of a cylinder is equal to the product of the circumference of the base by the sum of the altitude and the radius of the base (684). 734. Corollary — The volume... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...altitude by the circumfeience of the base (683). 733. Corollary — The area of the entire surface of a cylinder is equal to the product of the circumference of the base by the sum of the altitude and the radius of the base (684). 734. Corollary. — The volume... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 pages
...prism is equal to the product of the perimeter of the base by the altitude. -2. The CONVEX SURFACE of a cylinder is equal to the product of the circumference of the base by the altitude. 3. The ENTIRE SURFACE of a prism or cylinder is equal to the convex surface... | |
 | 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... | |
 | William Chauvenet - Geometry - 1871 - 380 pages
...is indefinitely increased. PROPOSITION V.— THEOREM. 23. The lateral area of a cone of revolution is equal to the product of the circumference of its base by half its slant height. Let S-MNPQ be a cone generated by the revolution of the right friangle.$OJ:f... | |
 | 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 &ndAA'... | |
 | William Chauvenet - Mathematics - 1872 - 382 pages
...is indefinitely increased. PROPOSITION V.— THEOREM. 23. The lateral area of a cone of revolution is equal to the product of the circumference of its base by half its slant height. Let S-MNPQ be a cone generated by the revolution of the right triangle SOM about... | |
 | 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 the... | |
 | 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 tlie perimeter of a right section of the cylinder by an element of llie surface. EL, Let A BС DE be... | |
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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 of the surface. 
