 | John Dougall - 1810 - 554 pages
...the solidity of the globe must be the product of ifs surface multiplied by one third of the radius. The surface of a sphere is equal to the product of the circumference of a great circle on its being multiplied by the diameter. Let ALD represent a sphere, and let the... | |
 | Mathematics - 1835 - 684 pages
...revolution, whether m surface or in content, is less than that of the two figures (14.). PROP. 16. The surface of a sphere is equal to the product of...circumference and diameter of the generating circle. For if this product be not equal to the surface of the sphere, it must either be greater or less than... | |
 | Anna Cabot Lowell - Geometry - 1846 - 216 pages
...x4 square J.OU IUU feet = 12£f square feet; and the solidity is 12£t X 2f = 33$£ cubic feet. 3O8. The surface of a sphere is equal to the product of the circumference of a great circle multiplied by the diameter ; and the product of this surface multiplied by £ the... | |
 | Joseph Bateman - Excise tax - 1852 - 376 pages
...sphere ; multiply it by two-thirds of the height ; the product is the content. ways by the surface. The surface of a sphere is equal to the product of the cireumference and diamcter of the generating cirele ; that i.*, to four timcs the area of one of its... | |
 | Charles Davies, William Guy Peck - Electronic book - 1855 - 592 pages
...containing many individ- anj voiunic generated by revolving a regular semi-polygon about its diameter. The surface of a sphere is equal to the product of the diameter by the circumference of a great circle ; or it is equivalent to the area of four great circles.... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...perpendicular let fall from the center of the sphere upon the slant bight. 786. Theorem — The area of the surface of a sphere is equal to the product of the diameter by the circumference of a great circle. Let ADEFGB be the semicircle by which the sphere is... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...perpendicular let fall from the center of the sphere upon the slant hight. 786. Theorem.— TLe area of the surface of a sphere is equal to the product of the diameter l)y the, circumference of a great circle. Let ADEFGB be the semicircle by which the sphere... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 pages
...radius and DE the diameter of a sphere. By Geometry, there may be proved the following PRINCIPLES. 1. The SURFACE of a sphere is equal to the product of the REVIEW QUESTIONS. What is Mensuration ? (409) A Triangle ? (410) A Quadrilateral? (412) A Circle ?... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...perpendicular let fall from the center of the sphere upon the slant hight. 7S6. Theorem — The area of the surface of a sphere is equal to the product of the diameter by the circumference of a great circle. Let ADEFGB be the semicircle by which the sphere is... | |
 | Henry Bartlett Maglathlin - Arithmetic - 1873 - 362 pages
...denotes the radius and DE the diameter of a sphere. By Geometry, there may be proved the following 1. The SURFACE of a sphere is equal to the product of the REVIEW QUESTIONS. What is Mensuration ? (409) A Triangle? (410) A Quadrilateral? (412) A Circle ? (418)... | |
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The area of the surface of a sphere is equal to the product of the diameter by the circumference of a great circle. Let... 
