 The lateral area of a frustum of a right circular cone is equal to one half the product of its slant height and the sum of the circumferences of its bases.  Solid Geometry - Page 378by John Charles Stone, James Franklin Millis - 1916 - 174 pagesFull view - About this book
 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...in. on the length of the side piece for locking, and 1 in. on the diameter of the bottom piece ? 6. The lateral area of a frustum of a right circular cone is 60-7r square feet. If the radii of the bases are 4 ft. and 6 ft. respectively, find the slant height.... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...398 Hence S=ir(mR-nr+mr-nR) Why? =ir(R+r) (m-ri). Why? But mn = s. -..•:•::..:: •.•:..Tm 729. Theorem. The lateral area of a frustum of a right circular cone is equal to the product of the altitude and the circumference of a circle whose radius is the perpendicular at... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...S=%s[(AB+BC+ - - -) + (EF+FG+-- -)}. But AB+BC-\ =P, andEF+FG-\ =p. .-. S=is(P+p). §105 Why? Why? - 728. Theorem. The lateral area of a frustum of a right circular cone is equal to half the product of the slant height and the sum of the circumferences of the bases. Given the frustum... | |
 | Eugene Randolph Smith, William Henry Metzler - Geometry, Solid - 1918 - 232 pages
...the section parallel to the bases and half way between them is called the midsection. 170. COR. 2. The lateral area of a frustum of a right circular cone is equal to the product of the slant height and the circumference of its midsection. If the radius of the midsection... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...not meet the axis, L is the lateral area of a frustum of a right circular cone (Fig. 152, No. 3) . The lateral area of a frustum of a right circular cone is Since EG = H(r\+r^, L = AB-2irEG. To prove L = CD • 2irEF, prove CD • 2irEF = That is, replace... | |
 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Solid - 1919 - 240 pages
...construction from this triangle. SOLID GEOMETRY: BOOK V LATERAL AREA OF A FRUSTUM OF A CONE 364 THEOREM XXII. The lateral area of a frustum of a right circular cone is equal to the altitude of the frustum multiplied by the circumference of a circle whose radius is the perpendicular... | |
 | Herbert Ellsworth Slaught - Geometry, Solid - 1919 - 244 pages
...other. Find all the angles of the triangle. LATERAL AREA OF A FRUSTUII OF A CONE 364. THEOREM XXII. The lateral area of a frustum of a right circular cone is equal to the altitude of the frustum multiplied by the circumference of a circle whose radius is the perpendicular... | |
 | Edward Ira Edgerton, Wallace Edgar Bartholomew - Business mathematics - 1922 - 334 pages
...circular cone is equal to onehalf the product of the perimeter of the base and the slant height. (b) The lateral area of a frustum of a right circular cone is equal to one half the product of the sum of the perimeters of the bases and the slant height. (c) The volume of a circular... | |
 | Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Geometry, Solid - 1922 - 216 pages
...obtain, area of frustum = irrl + irr1l = irl(r + ri). Hence S = irl(r + r^. -2irr. 559. Corollary. The lateral area of a frustum of a right circular cone is equal to the product of the slant height by the perimeter of a circle halfway between the bases. QUERY. How... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...not meet the axis, L is the lateral area of a frustum of a right circular cone (Fig. 152, No. 3) . The lateral area of a frustum of a right circular cone is ir/(n+r 2 ). Since E£ = M(ri+r 2 ), L = AB • 2irEG. To prove L = CD- 2irEF, prove CD • 2irEF =... | |
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