 | Charles Davies - Geometrical drawing - 1840 - 262 pages
...cylinder is said to circumscribe the sphere. 27. It was remarked, in Art. 4, that the convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude ; and in Art. 24, that the surface of a sphere is equal to its diameter into the circumference of a... | |
 | Roswell Park - Best books - 1841 - 624 pages
...arcs of great circles, that is, circles whose planes pass through the centre. The convex surface of a cylinder, is equal to the circumference of its base, multiplied by its altitude : that of a cone, is equal to the circumference of its base, multiplied by its slant height, or distance... | |
 | Adrien Marie Legendre - Geometry - 1841 - 288 pages
...of the cylinder is equal to a great circle, since it has for a diameter AB equal to MN; consequently the convex surface of the cylinder is equal to the circumference of a great circle multiplied by its diameter (523). This measure is the same as that of the surface of... | |
 | James Bates Thomson - Geometry - 1844 - 268 pages
...convex surface of the prism is equal to its perimeter multiplied by its altitude AF ; (5. 7 ;) therefore the convex surface of the cylinder is equal to the...circumference of its base multiplied by its altitude ; that is, equal to cire. RCxH. Hence, The convex surface of a cylinder is equal, $e. PROPOSITION II.... | |
 | Nathan Scholfield - Conic sections - 1845 - 542 pages
...will be divided in the ratio that the circumference of the base is divided. But the convex surface is equal to the circumference of its base multiplied by its altitude, (Prop. IB III. El. S. Geom.,) and its solidity is equal to the area of its base multiplied by its altitude,... | |
 | Nathan Scholfield - Geometry - 1845 - 506 pages
...will be divided in the ratio that the circumference of the base is divided. But the convex surface is equal to the circumference of its base multiplied by its altitude. (Prop. IB III. El. S. Geom.,) and its solidity is equal to the area of its base multiplied by its altitude,... | |
 | Nathan Scholfield - 1845 - 894 pages
...the base of the cylinder is equal to the great circle, since its diameter AB ;s equal to MN ; hence, the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter (Prop. I.). The measure is the same as that of the surface... | |
 | George Roberts Perkins - Geometry - 1847 - 326 pages
...less than that of any circumscribed prism BCDKLKH. PROPOSITION IV. THEOREM. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. Let CA be the radius of the given cylinder's base, and H its altitude ; the circumference whose radius... | |
 | Roswell Park - Best books - 1847 - 626 pages
...arcs of great circles, that is, circles whose planes pass through the centre. The convex surface of a cylinder, is equal to the circumference of its base, multiplied by its altitude : that of a cone, is equal to the circumference of its base, multiplied by its slant height, or distance... | |
 | Charles Davies - Trigonometry - 1849 - 372 pages
...the base of the cylinder is equal to the great circle, since its diameter AB is equal to MN ; hence, the convex surface of the cylinder is equal to the circumference of the great circle multiplied by its diameter (Prop. 1.). This measure is the same as that of the surface... | |
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The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop. 
